Cyrill Muratov
Education
Ph.D.; Boston University; Physics; 1998
M.S.; Moscow Institute of Physics and Technology; Applied Mathematics And Physics; 1993
M.S.; Moscow Institute of Physics and Technology; Applied Mathematics And Physics; 1993
Awards & Honors
2018 CSLA Distinguished Research Award, NJIT
Website
Past Courses
MATH 112: CALCULUS II
MATH 211: CALCULUS IIIA
MATH 213: CALCULUS III B
MATH 222: DIFFERENTIAL EQUATIONS
MATH 332: INTRO COMPLEX VARIABLES
MATH 337: LINEAR ALGEBRA
MATH 371: PHYSIOLOGY AND MEDICINE
MATH 481: ADVANCED CALCULUS
MATH 546: ADVANCED CALCULUS II
MATH 645: ANALYSIS
MATH 671: ASYMPTOTIC METHODS I
MATH 675: PARTIAL DIFF EQUATIONS
MATH 677: CALCULUS OF VARIATIONS
MATH 689: ADV APPLIED MATH II
MATH 690: ADV APPLIED MATH III
MATH 745: MATHMATICAL ANALYSIS II
MATH 211: CALCULUS IIIA
MATH 213: CALCULUS III B
MATH 222: DIFFERENTIAL EQUATIONS
MATH 332: INTRO COMPLEX VARIABLES
MATH 337: LINEAR ALGEBRA
MATH 371: PHYSIOLOGY AND MEDICINE
MATH 481: ADVANCED CALCULUS
MATH 546: ADVANCED CALCULUS II
MATH 645: ANALYSIS
MATH 671: ASYMPTOTIC METHODS I
MATH 675: PARTIAL DIFF EQUATIONS
MATH 677: CALCULUS OF VARIATIONS
MATH 689: ADV APPLIED MATH II
MATH 690: ADV APPLIED MATH III
MATH 745: MATHMATICAL ANALYSIS II
Research Interests
Reaction-diffusion equations and their applications
Pattern formation and propagation phenomena
Calculus of variations, analysis of nonlinear PDEs
Modeling and analysis of cell communication in development
Cryogenic systems in liquid propellant rockets
Stochastic analysis of rare events
Pattern formation and propagation phenomena
Calculus of variations, analysis of nonlinear PDEs
Modeling and analysis of cell communication in development
Cryogenic systems in liquid propellant rockets
Stochastic analysis of rare events
Journal Article
Babadjian, J.-F., & Di Fratta, G., & Fonseca, I. , & Francfort, G., & Lewicka, M., & Muratov, Cyrill (2022). Mathematics of thin structures. Quart. Appl. Math.,
Miller, Peter, & Fortunato, Daniel, & Muratov, Cyrill, & Greengard, Leslie, & Shvartsman, Stanislav (2022). Forced and spontaneous symmetry breaking in cell polarization. Nature Comput. Sci.,
Bernand-Mantel, Anne, & Muratov, Cyrill, & Slastikov, Valeriy (2022). A micromagnetic theory of skyrmion lifetime in ultrathin ferromagnetic films. Proc. Natl. Acad. Sci. USA, 119, e2122237119.
Muratov, Cyrill, & Novaga, Matteo, & Ruffini, Berardo (2022). Conducting flat drops in a confining potential. Arch. Rat. Mech. Anal., 243, 1773-1810.
Bernand-Mantel, Anne, & Muratov, Cyrill, & Simon, Thilo (2020). A quantitative description of skyrmions in ultrathin ferromagnetic films and rigidity of degree ±1 harmonic maps from R^2 to S^2. Arch. Rat. Mech. Anal., 239, 219-299.
Miller, Peter, & Fortunato, Daniel, & Muratov, Cyrill, & Greengard, Leslie, & Shvartsman, Stanislav (2022). Forced and spontaneous symmetry breaking in cell polarization. Nature Comput. Sci.,
Bernand-Mantel, Anne, & Muratov, Cyrill, & Slastikov, Valeriy (2022). A micromagnetic theory of skyrmion lifetime in ultrathin ferromagnetic films. Proc. Natl. Acad. Sci. USA, 119, e2122237119.
Muratov, Cyrill, & Novaga, Matteo, & Ruffini, Berardo (2022). Conducting flat drops in a confining potential. Arch. Rat. Mech. Anal., 243, 1773-1810.
Bernand-Mantel, Anne, & Muratov, Cyrill, & Simon, Thilo (2020). A quantitative description of skyrmions in ultrathin ferromagnetic films and rigidity of degree ±1 harmonic maps from R^2 to S^2. Arch. Rat. Mech. Anal., 239, 219-299.
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Chen, Yinbo, & Muratov, Cyrill, & Matveev, Victor (2020). Efficient approximations for stationary single-channel Ca2+ nanodomains across length scales. Biophysical Journal, 119(6), 1239-1254.
Di Fratta, Giovanni, & Muratov, Cyrill, & Rybakov, Filipp, & Slastikov, Valeriy (2020). Variational principles of micromagnetics revisited. SIAM J. Math. Anal., 52, 3580–3599.
Alyobi, Mona, & Barnett, Chris, & Muratov, Cyrill, & Moroz, Vitaly, & Cobley, Richard (2020). The voltage-dependent manipulation of few-layer graphene with a scanning tunneling microscopy tip. Carbon, 163, 379-384.
Bernand-Mantel, Anne, & Muratov, Cyrill, & Simon, Thilo (2020). Unraveling the role of dipolar vs. Dzyaloshinskii-Moriya interaction in stabilizing compact magnetic skyrmions. Phys. Rev. B, 101, 045416.
Lund, Ross, & Muratov, Cyrill, & Slastikov, Valeriy (2020). Edge domain walls in ultrathin exchange-biased films. J. Nonlin. Sci., 30, 1165-1205.
Knuepfer, Hans, & Muratov, Cyrill, & Novaga, Matteo (2019). Emergence of non-trivial minimizers for the three-dimensional Ohta-Kawasaki energy. Pure Appl. Analysis, 2, 1-21.
Yu, Yiming, & Muratov, Cyrill, & Moore, Richard (2019). Importance sampling for thermally induced switching and non-switching probabilities in spin-torque magnetic nanodevices. IEEE Trans. Magn., 55, 7205011.
Muratov, Cyrill, & Simon, Thilo (2019). A nonlocal isoperimetric problem with dipolar repulsion. Commun. Math. Phys.,
Slastikov, Valeriy, & Muratov, Cyrill, & Robbins, Jonathan, & Tretiakov, Oleg (2019). Walker solution for Dzyaloshinskii domain wall in ultrathin ferromagnetic films. Phys. Rev. B, 99, 100403R.
Muratov, Cyrill (2019). A universal thin film model for Ginzburg-Landau energy with dipolar interaction. Calc. Var. PDE, 58, 52.
Knuepfer, Hans, & Muratov, Cyrill, & Nolte, Florian (2018). Magnetic domains in thin ferromagnetic films with strong perpendicular anisotropy. Arch. Rat. Mech. Anal., 232, 727–761.
Henry, Marie, & Hilhorst, Danielle, & Muratov, Cyrill (2018). A multiple scale pattern formation cascade in reaction-diffusion systems of activator-inhibitor type. Interfaces Free. Bound., 20, 297-336.
Diegmiller, Rocky, & Montanelli, Hadrien, & Muratov, Cyrill, & Shvartsman, Stanislav (2018). Spherical caps in cell polarization. Biophys. J., 115, 1-5.
Muratov, Cyrill, & Novaga, Matteo, & Berardo, Ruffini (2018). On equilibrium shapes of charged flat drops. Commun. Pure Appl. Math., 71, 1049–1073.
Chen, Ko-Shin, & Muratov, Cyrill, & Yan, Xiaodong (2018). Layer solutions for one-dimensional nonlocal model of Ginzburg-Landau type. Mathematical Modeling of Natural Phenomena, 12, 68-90.
Lund, Ross, & Muratov, Cyrill, & Slastikov, Valeriy (2018). One-dimensional in-plane edge domain walls in ultrathin ferromagnetic films. Nonlinearity, 31, 728-754.
Choksi, Rustum, & Muratov, Cyrill, & Topaloglu, Ihsan (2017). An Old Problem Resurfaces Nonlocally: Gamow’s Liquid Drops Inspire Today’s Research and Applications. Notices Amer. Math. Soc., 64, 1275-1283.
Muratov, Cyrill, & Slastikov, Valery, & Kolesnikov, Alexander, & Tretiakov, Oleg (2017). Theory of the Dzyaloshinskii domain wall tilt in ferromagnetic nanostrips. Phys. Rev. B, 96, 134417.
Muratov, Cyrill, & Zhong, Xing (2017). Threshold phenomena for symmetric-decreasing radial solutions of reaction-diffusion equations. Discrete Cont. Dyn. Syst. A, 37, 915-944.
Muratov, Cyrill, & Slastikov, Valery (2017). Domain structure of ultrathin ferromagnetic elements in the presence of Dzyaloshinskii-Moriya interaction. Proc. Roy. Soc. Lond. A, 473, 20160666.
Lund, Ross, & Chaves-O'Flynn, Gabriel, & Kent, Andrew, & Muratov, Cyrill (2016). A reduced model for precessional switching of thin-film nanomagnets under the influence of spin-torque. Phys. Rev. B, 94, 144425.
Knuepfer, Hans, & Muratov, Cyrill, & Novaga, Matteo (2016). Low density phases in a uniformly charged liquid. Commun. Math. Phys., 345, 141–183.
Muratov, Cyrill, & Lund, Ross (2016). One-dimensional domain walls in thin ferromagnetic films with fourfold anisotropy. Nonlinearity, 29, 1716-1734.
Muratov, Cyrill, & Novaga, Matteo (2016). On well-posedness of variational models of charged drops. Proc. Roy. Soc. Lond. A, 472, 20150808.
Muratov, Cyrill, & Yan, Xiaodong (2016). Uniqueness of one-dimensional Neel wall profiles. Proc. Roy. Soc. Lond. A, 472, 20150762.
Lu, Jianfeng, & Moroz, Vitaly, & Muratov, Cyrill (2015). Orbital-free density functional theory of out-of-plane charge screening in graphene. J. Nonlin. Sci., 25, 1391-1430.
Muratov, Cyrill, & Gordon, Peter (2015). Eventual self-similarity of solutions for the diffusion equation with nonlinear absorption and a point source. SIAM J. Math. Anal., 47, 2903–2916.
Osipov, Viatcheslav, & Khasin, Mikhail, & Gafiichuk, Halina, & Muratov, Cyrill, & Watson, Michael, & Smelyanskiy, Vadim (2015). Mitigation of Solid Booster Ignition-Over-Pressure Wave by Water Aerosol Sprays. J. Spacecraft Rocket, 52, 928-943.
Muratov, Cyrill, & Osipov, V., & Vanden-Eijnden, E. (2015). Energy barriers for bit-encoding states based on 360-degree domain walls in ultrathin ferromagnetic nanorings. J. Appl. Phys., 117, 17D118.
Cesaroni, Annalisa, & Muratov, Cyrill, & Novaga, Matteo (2014). Front propagation in geometric and phase field models of stratified media. Archive Rat. Mech. Anal., 216, 153–191.
Muratov, Cyrill, & Zaleski, Anthony (2014). On an isoperimetric problem with a competing non-local term: Quantitative results.. Ann. Global Anal. Geom., 47, 63-80.
Moroz, Vitaly, & Muratov, Cyrill (2014). Asymptotic properties of ground states of scalar field equations with a vanishing parameter. J. Eur. Math. Soc., 16, 1081-1109.
Goldman, Dorian, & Muratov, Cyrill, & Serfaty, Sylvia (2014). The Γ-limit of the two-dimensional Ohta-Kawasaki energy. II. Droplet arrangement at the sharp interface level via the renormalized energy.. Archive Rat. Mech. Anal., 212, 445–501.
Chermisi, Milena, & Muratov, Cyrill (2013). One-dimensional Neel walls under applied magnetic fields. Nonlinearity, 26, 2935-2950.
Knuepfer, Hans, & Muratov, Cyrill (2013). On an isoperimetric problem with a competing non-local term. II. The general case.. Commun. Pure Appl. Math., 67, 1974-1994.
Osipov, Viatcheslav, & Muratov, Cyrill, & Hafiychuk, Halyna, & Ponizovskya-Devine, Ekaterina, & Smelyanskiy, Vadim, & Donovan, Mathias, & Lawrence, Scott, & Werkheiser, Mary (2013). Explosion Hazard from a Propellant-Tank Breach in Liquid Hydrogen-Oxygen Rockets. J. Rockets Spacecraft, 50, 860-871.
Goldman, Dorian, & Muratov, Cyrill, & Serfaty, Sylvia (2013). The Γ-limit of the two-dimensional Ohta-Kawasaki energy. I. Droplet density.. Archive Rat. Mech. Anal., 210, 581-613.
Knuepfer, Hans, & Muratov, Cyrill (2013). On an isoperimetric problem with a competing non-local term. I. The planar case.. Commun. Pure Appl. Math., 66, 1129–1162.
Gordon, Peter, & Muratov, Cyrill, & Shvartsman, Stanislav (2013). Local accumulation times for source, diffusion and degradation models in two and three dimensions. J. Chem. Phys., 138, 104121 pp. 1-6.
Muratov, Cyrill, & Zhong, Xing (2013). Threshold phenomena for symmetric decreasing solutions of reaction-diffusion equations. Nonlinear Differential Equations and Applications, (published online), 34 pages.
Gordon, Peter, & Muratov, Cyrill (2012). Self-similarity and long-time behavior of solutions of the diffusion equation with nonlinear absorption and a boundary source. Netw. Heterog. Media, 7(4), 767–780.
Gordon, Peter, & Muratov, Cyrill, & Novaga, M (2012). Multiplicity of supercritical fronts for reaction-diffusion equations in cylinders. Calc. Var. PDE, 47, 683-709.
Muratov, Cyrill, & Novaga, M (2012). Global exponential convergence to variational traveling waves in cylinders. SIAM J. Math. Anal., 44, 293–315.
Osipov, Viatcheslav, & Daigle, Matthew, & Muratov, Cyrill, & Foygel, Michael, & Smelyanskiy, Vadim, & Watson, Michael (2011). Dynamical Model of Rocket Propellant Loading with Liquid Hydrogen. J. Spacecraft Rockets, 48, 987-998.
Muratov, Cyrill, & Gordon, Peter, & Shvartsman, Stanislav (2011). Self-similar dynamics of morphogen gradients. Phys. Rev. E, 84, 041919 pp. 1-4.
Knuepfer, H, & Muratov, Cyrill (2011). Domain structure of bulk ferromagnetic crystals in applied fields near saturation. J. Nonlin. Sci., 21, 921-962.
Osipov, Viatcheslav, & Muratov, Cyrill, & Ponizovskya-Devine, Ekaterina, & Foygel, Mikhail, & Smelyanskiy, Vadim (2011). Cavitation-induced ignition of cryogenic hydrogen-oxygen mixtures. Appl. Phys. Lett., 98, 134102.
Gordon, Peter, & Sample, Christine, & Berezhkovskii, Alexander, & Muratov, Cyrill, & Shvartsman, Stanislav (2011). Local kinetics of morphogen gradients. Proceedings of the National Academy of Sciences USA, 108(15), 6157-6162.
Muratov, Cyrill, & Shvartsman, S (2010). Waves of autocrine signaling in patterned epithelia. Math. Model. Nat. Phenom., 5, 46-63.
Muratov, Cyrill (2010). Droplet phases in non-local Ginzburg-Landau models with Coulomb repulsion in two dimensions. Commun. Math. Phys., 299, 45-87.
Muratov, Cyrill, & Osipov, V. (2009). Bit storage by $360$ domain walls in ferromagnetic nanorings. IEEE Trans. Magn., 45, 3207–3209.
Muratov, Cyrill, & Osipov, V (2009). Bit storage by 360-degree domain walls in ferromagnetic nanorings. IEEE Trans. Magn, 45, 3207-3209.
Muratov, Cyrill, & Posta, F, & Shvartsman, S (2009). Autocrine signal transmission with extracellular ligand degradation. Phys. Biol., 6, 016006, 13 pages.
Osipov, V, & Muratov, Cyrill (2008). Dynamic condensation blocking in cryogenic refueling. Appl. Phys. Lett., 93, 224105, 3 pages.
Muratov, Cyrill, & Novaga, M (2008). Front propagation in infinite cylinders. I. A variational approach.. Commun. Math. Sci., 6, 799--826.
Muratov, Cyrill, & Shvartsman, S. (2008). Boundary homogenization for periodic arrays of absorbers. Multiscale Model. Simul., 7, 44–61.
Lucia, M., & Muratov, Cyrill, & Novaga, M. (2008). Existence of traveling waves of invasion for Ginzburg-Landau-type problems in infinite cylinders. Arch. Rational Mech. Anal., 188, 475–508.
Muratov, Cyrill, & Novaga, M. (2008). Front propagation in infinite cylinders. II. The sharp reaction zone limit. Calc. Var. PDE, 31, 521–547.
Muratov, Cyrill, & Vanden-Eijnden, E. (2008). Noise-induced mixed-mode oscillations in a relaxation oscillator near the onset of a limit cycle. Chaos, 18, 015111 pp. 1–11.
Muratov, Cyrill, & Osipov, V. (2008). Theory of $360$ domain walls in thin ferromagnetic films. J. Appl. Phys., 104, 053908 pp. 1–14.
Muratov, Cyrill, & Osipov, V (2008). Theory of 360° domain walls in thin ferromagnetic films. J. Appl. Phys., 104, 053908 14 pages.
Posta, F, & Muratov, Cyrill, & Shvartsman, S (2008). Compensated optimal grids for elliptic boundary-value problems. J. Comput. Phys. , 227, 8622-8635.
Muratov, Cyrill, & Vanden-Eijnden, E., & E, W. (2007). Noise can play an organizing role for the coherent dynamics in excitable media. Proc. Natl. Acad. Sci. US., 104, 702–707.
Berezhkovskii, A., & Monine, M., & Muratov, Cyrill, & Shvartsman, S. (2006). Homogenization of boundary conditions for surfaces with regular arrays of traps. J. Chem. Phys., 124, 036103 pp. 1-3.
DeVille, R., & Muratov, Cyrill, & Vanden-Eijnden, E. (2006). Non-meanfield deterministic limits in chemical reaction kinetics. J. Chem. Phys., 124, 231102 pp. 1–4.
Muratov, Cyrill, & Osipov, V. (2006). Optimal grid-based methods for thin film micromagnetics simulations. J. Comp. Phys., 216, 637–653.
Reeves, G., & Muratov, Cyrill, & Schüpbach, T., & Shvartsman, S. (2006). Quantitative Models of Developmental Pattern Formation. Devel. Cell, 11, 289–300.
Bertsch, M., & Muratov, Cyrill, & Primi, I. (2006). Traveling wave solutions of harmonic heat flow. Calc. Var. PDE, 26, 489—509.
Muratov, Cyrill, & Vanden-Eijnden, E., & E, W. (2005). Self-induced stochastic resonance in excitable systems. Physica D, 210, 227–240.
DeVille, R., & Vanden-Eijnden, E., & Muratov, Cyrill (2005). Two distinct mechanisms of coherence in randomly perturbed dynamical systems. Phys. Rev. E, 72, 031105 pp. 1-10.
Muratov, Cyrill (2004). A global variational structure and propagation of disturbances in reaction-diffusion systems of gradient type. Discrete Cont. Dyn. S., Ser. B, 4, 867–892.
Muratov, Cyrill, & Vanden-Eijnden, E. (2004). Breakup of universality in the generalized spinodal nucleation theory. J. Stat. Phys., 114, 605–623.
Lucia, M., & Muratov, Cyrill, & Novaga, M. (2004). Linear vs. nonlinear selection for the propagation speed of the solutions of scalar reaction-diffusion equations invading an unstable equilibrium. Commun. Pure Appl. Math., 57, 616–636.
Muratov, Cyrill, & Shvartsman, S. (2004). Signal propagation and failure in discrete autocrine relays. Phys. Rev. Lett., 93, 118101 pp. 1–4.
Muratov, Cyrill, & Shvartsman, S. (2003). An asymptotic study of the inductive pattern formation mechanism in Drosophila egg development. Physica D, 186, 93-108.
Pribyl, M., & Muratov, Cyrill, & Shvartsman, S. (2003). Discrete models of autocrine cell communication in epithelial layers. Biophys. J., 84, 3624–3635.
Pribyl, M., & Muratov, Cyrill, & Shvartsman, S. (2003). Long-range signal transmission in autocrine relays. Biophys. J., 84, 883–896.
Pribyl, M., & Muratov, Cyrill, & Shvartsman, S. (2003). Transitions in the model of epithelial patterning. Dev. Dynam., 226, 155–159.
Shvartsman, S., & Muratov, Cyrill, & Lauffenburger, D. (2002). Modeling and computational analysis of EGF receptor-mediated cell communication in Drosophila oogenesis. Development, 129, 2577–2589.
Muratov, Cyrill, & Osipov, V. (2002). Stability of static spike autosolitons in the Gray-Scott model. SIAM J. Appl. Math., 62, 1463–1487.
Muratov, Cyrill (2002). Theory of domain patterns in systems with long-range interactions of Coulomb type. Phys. Rev. E, 66, 066108 pp. 1–25.
Muratov, Cyrill, & E, W. (2002). Theory of phase separation kinetics in polymer–liquid crystal systems. J. Chem. Phys., 116, 4723–4734.
Muratov, Cyrill, & Osipov, V. (2001). Spike autosolitons and pattern formation scenarios in the two-dimensional Gray-Scott model. Eur. Phys. J. B, 22, 213–221.
Muratov, Cyrill, & Osipov, V. (2001). Traveling spike autosolitons in the Gray-Scott model. Physica D, 155, 112–131.
Muratov, Cyrill (2000). A quantitative approximation scheme for the traveling wave solutions of the Hodgkin-Huxley model. Biophys. J., 79, 2893–2901.
Muratov, Cyrill, & Osipov, V. (2000). Static spike autosolitons in the Gray-Scott model. J. Phys. A: Mat. Gen., 33, 8893-8916.
Muratov, Cyrill, & Osipov, V. (1999). Spike autosolitons in the Gray-Scott model. CAMS Rep. 9900-10, NJIT (preprint patt-sol/9804001, LANL archive),
Muratov, Cyrill, & Osipov, V. (1999). Theory of spike spiral waves in a reaction-diffusion system. Phys. Rev. E, 60, 242-246.
Muratov, Cyrill (1999). Traveling wave solutions in the Burridge-Knopoff model. Phys. Rev. E, 59, 3847–3857.
Muratov, Cyrill (1998). Unusual coarsening during phase separation of polymer systems. Phys. Rev. Lett., 81, 3699-3702.
Muratov, Cyrill (1997). Instabilities and disorder of the domain patterns in the systems with competing interactions. Phys. Rev. Lett., 78, 3149-3152.
Muratov, Cyrill (1997). Synchronization, chaos, and the breakdown of the collective domain oscillations in reaction-diffusion systems. Phys. Rev. E, 55, 1463-1477.
Muratov, Cyrill, & Osipov, V. (1996). General theory of instabilities for patterns with sharp interfaces in reaction-diffusion systems. Phys. Rev. E, 53, 3101-3116.
Muratov, Cyrill, & Osipov, V. (1996). Scenarios of domain pattern formation in a reaction-diffusion system. Phys. Rev. E, 54, 4860-4879.
Muratov, Cyrill (1996). Self-replication and splitting of domain patterns in reaction-diffusion systems with the fast inhibitor. Phys. Rev. E, 54, 3369-3376.
Osipov, V., & Muratov, Cyrill (1995). Ultrafast traveling spike autosolitons in reaction-diffusion systems. Phys. Rev. Lett., 75, 338-341.
Osipov, V., & Muratov, Cyrill (1994). Properties of wide-peak autosolitons in electron-hole and gas plasma. Phys. Rev. E., 50, 3251-3254.
Di Fratta, Giovanni, & Muratov, Cyrill, & Rybakov, Filipp, & Slastikov, Valeriy (2020). Variational principles of micromagnetics revisited. SIAM J. Math. Anal., 52, 3580–3599.
Alyobi, Mona, & Barnett, Chris, & Muratov, Cyrill, & Moroz, Vitaly, & Cobley, Richard (2020). The voltage-dependent manipulation of few-layer graphene with a scanning tunneling microscopy tip. Carbon, 163, 379-384.
Bernand-Mantel, Anne, & Muratov, Cyrill, & Simon, Thilo (2020). Unraveling the role of dipolar vs. Dzyaloshinskii-Moriya interaction in stabilizing compact magnetic skyrmions. Phys. Rev. B, 101, 045416.
Lund, Ross, & Muratov, Cyrill, & Slastikov, Valeriy (2020). Edge domain walls in ultrathin exchange-biased films. J. Nonlin. Sci., 30, 1165-1205.
Knuepfer, Hans, & Muratov, Cyrill, & Novaga, Matteo (2019). Emergence of non-trivial minimizers for the three-dimensional Ohta-Kawasaki energy. Pure Appl. Analysis, 2, 1-21.
Yu, Yiming, & Muratov, Cyrill, & Moore, Richard (2019). Importance sampling for thermally induced switching and non-switching probabilities in spin-torque magnetic nanodevices. IEEE Trans. Magn., 55, 7205011.
Muratov, Cyrill, & Simon, Thilo (2019). A nonlocal isoperimetric problem with dipolar repulsion. Commun. Math. Phys.,
Slastikov, Valeriy, & Muratov, Cyrill, & Robbins, Jonathan, & Tretiakov, Oleg (2019). Walker solution for Dzyaloshinskii domain wall in ultrathin ferromagnetic films. Phys. Rev. B, 99, 100403R.
Muratov, Cyrill (2019). A universal thin film model for Ginzburg-Landau energy with dipolar interaction. Calc. Var. PDE, 58, 52.
Knuepfer, Hans, & Muratov, Cyrill, & Nolte, Florian (2018). Magnetic domains in thin ferromagnetic films with strong perpendicular anisotropy. Arch. Rat. Mech. Anal., 232, 727–761.
Henry, Marie, & Hilhorst, Danielle, & Muratov, Cyrill (2018). A multiple scale pattern formation cascade in reaction-diffusion systems of activator-inhibitor type. Interfaces Free. Bound., 20, 297-336.
Diegmiller, Rocky, & Montanelli, Hadrien, & Muratov, Cyrill, & Shvartsman, Stanislav (2018). Spherical caps in cell polarization. Biophys. J., 115, 1-5.
Muratov, Cyrill, & Novaga, Matteo, & Berardo, Ruffini (2018). On equilibrium shapes of charged flat drops. Commun. Pure Appl. Math., 71, 1049–1073.
Chen, Ko-Shin, & Muratov, Cyrill, & Yan, Xiaodong (2018). Layer solutions for one-dimensional nonlocal model of Ginzburg-Landau type. Mathematical Modeling of Natural Phenomena, 12, 68-90.
Lund, Ross, & Muratov, Cyrill, & Slastikov, Valeriy (2018). One-dimensional in-plane edge domain walls in ultrathin ferromagnetic films. Nonlinearity, 31, 728-754.
Choksi, Rustum, & Muratov, Cyrill, & Topaloglu, Ihsan (2017). An Old Problem Resurfaces Nonlocally: Gamow’s Liquid Drops Inspire Today’s Research and Applications. Notices Amer. Math. Soc., 64, 1275-1283.
Muratov, Cyrill, & Slastikov, Valery, & Kolesnikov, Alexander, & Tretiakov, Oleg (2017). Theory of the Dzyaloshinskii domain wall tilt in ferromagnetic nanostrips. Phys. Rev. B, 96, 134417.
Muratov, Cyrill, & Zhong, Xing (2017). Threshold phenomena for symmetric-decreasing radial solutions of reaction-diffusion equations. Discrete Cont. Dyn. Syst. A, 37, 915-944.
Muratov, Cyrill, & Slastikov, Valery (2017). Domain structure of ultrathin ferromagnetic elements in the presence of Dzyaloshinskii-Moriya interaction. Proc. Roy. Soc. Lond. A, 473, 20160666.
Lund, Ross, & Chaves-O'Flynn, Gabriel, & Kent, Andrew, & Muratov, Cyrill (2016). A reduced model for precessional switching of thin-film nanomagnets under the influence of spin-torque. Phys. Rev. B, 94, 144425.
Knuepfer, Hans, & Muratov, Cyrill, & Novaga, Matteo (2016). Low density phases in a uniformly charged liquid. Commun. Math. Phys., 345, 141–183.
Muratov, Cyrill, & Lund, Ross (2016). One-dimensional domain walls in thin ferromagnetic films with fourfold anisotropy. Nonlinearity, 29, 1716-1734.
Muratov, Cyrill, & Novaga, Matteo (2016). On well-posedness of variational models of charged drops. Proc. Roy. Soc. Lond. A, 472, 20150808.
Muratov, Cyrill, & Yan, Xiaodong (2016). Uniqueness of one-dimensional Neel wall profiles. Proc. Roy. Soc. Lond. A, 472, 20150762.
Lu, Jianfeng, & Moroz, Vitaly, & Muratov, Cyrill (2015). Orbital-free density functional theory of out-of-plane charge screening in graphene. J. Nonlin. Sci., 25, 1391-1430.
Muratov, Cyrill, & Gordon, Peter (2015). Eventual self-similarity of solutions for the diffusion equation with nonlinear absorption and a point source. SIAM J. Math. Anal., 47, 2903–2916.
Osipov, Viatcheslav, & Khasin, Mikhail, & Gafiichuk, Halina, & Muratov, Cyrill, & Watson, Michael, & Smelyanskiy, Vadim (2015). Mitigation of Solid Booster Ignition-Over-Pressure Wave by Water Aerosol Sprays. J. Spacecraft Rocket, 52, 928-943.
Muratov, Cyrill, & Osipov, V., & Vanden-Eijnden, E. (2015). Energy barriers for bit-encoding states based on 360-degree domain walls in ultrathin ferromagnetic nanorings. J. Appl. Phys., 117, 17D118.
Cesaroni, Annalisa, & Muratov, Cyrill, & Novaga, Matteo (2014). Front propagation in geometric and phase field models of stratified media. Archive Rat. Mech. Anal., 216, 153–191.
Muratov, Cyrill, & Zaleski, Anthony (2014). On an isoperimetric problem with a competing non-local term: Quantitative results.. Ann. Global Anal. Geom., 47, 63-80.
Moroz, Vitaly, & Muratov, Cyrill (2014). Asymptotic properties of ground states of scalar field equations with a vanishing parameter. J. Eur. Math. Soc., 16, 1081-1109.
Goldman, Dorian, & Muratov, Cyrill, & Serfaty, Sylvia (2014). The Γ-limit of the two-dimensional Ohta-Kawasaki energy. II. Droplet arrangement at the sharp interface level via the renormalized energy.. Archive Rat. Mech. Anal., 212, 445–501.
Chermisi, Milena, & Muratov, Cyrill (2013). One-dimensional Neel walls under applied magnetic fields. Nonlinearity, 26, 2935-2950.
Knuepfer, Hans, & Muratov, Cyrill (2013). On an isoperimetric problem with a competing non-local term. II. The general case.. Commun. Pure Appl. Math., 67, 1974-1994.
Osipov, Viatcheslav, & Muratov, Cyrill, & Hafiychuk, Halyna, & Ponizovskya-Devine, Ekaterina, & Smelyanskiy, Vadim, & Donovan, Mathias, & Lawrence, Scott, & Werkheiser, Mary (2013). Explosion Hazard from a Propellant-Tank Breach in Liquid Hydrogen-Oxygen Rockets. J. Rockets Spacecraft, 50, 860-871.
Goldman, Dorian, & Muratov, Cyrill, & Serfaty, Sylvia (2013). The Γ-limit of the two-dimensional Ohta-Kawasaki energy. I. Droplet density.. Archive Rat. Mech. Anal., 210, 581-613.
Knuepfer, Hans, & Muratov, Cyrill (2013). On an isoperimetric problem with a competing non-local term. I. The planar case.. Commun. Pure Appl. Math., 66, 1129–1162.
Gordon, Peter, & Muratov, Cyrill, & Shvartsman, Stanislav (2013). Local accumulation times for source, diffusion and degradation models in two and three dimensions. J. Chem. Phys., 138, 104121 pp. 1-6.
Muratov, Cyrill, & Zhong, Xing (2013). Threshold phenomena for symmetric decreasing solutions of reaction-diffusion equations. Nonlinear Differential Equations and Applications, (published online), 34 pages.
Gordon, Peter, & Muratov, Cyrill (2012). Self-similarity and long-time behavior of solutions of the diffusion equation with nonlinear absorption and a boundary source. Netw. Heterog. Media, 7(4), 767–780.
Gordon, Peter, & Muratov, Cyrill, & Novaga, M (2012). Multiplicity of supercritical fronts for reaction-diffusion equations in cylinders. Calc. Var. PDE, 47, 683-709.
Muratov, Cyrill, & Novaga, M (2012). Global exponential convergence to variational traveling waves in cylinders. SIAM J. Math. Anal., 44, 293–315.
Osipov, Viatcheslav, & Daigle, Matthew, & Muratov, Cyrill, & Foygel, Michael, & Smelyanskiy, Vadim, & Watson, Michael (2011). Dynamical Model of Rocket Propellant Loading with Liquid Hydrogen. J. Spacecraft Rockets, 48, 987-998.
Muratov, Cyrill, & Gordon, Peter, & Shvartsman, Stanislav (2011). Self-similar dynamics of morphogen gradients. Phys. Rev. E, 84, 041919 pp. 1-4.
Knuepfer, H, & Muratov, Cyrill (2011). Domain structure of bulk ferromagnetic crystals in applied fields near saturation. J. Nonlin. Sci., 21, 921-962.
Osipov, Viatcheslav, & Muratov, Cyrill, & Ponizovskya-Devine, Ekaterina, & Foygel, Mikhail, & Smelyanskiy, Vadim (2011). Cavitation-induced ignition of cryogenic hydrogen-oxygen mixtures. Appl. Phys. Lett., 98, 134102.
Gordon, Peter, & Sample, Christine, & Berezhkovskii, Alexander, & Muratov, Cyrill, & Shvartsman, Stanislav (2011). Local kinetics of morphogen gradients. Proceedings of the National Academy of Sciences USA, 108(15), 6157-6162.
Muratov, Cyrill, & Shvartsman, S (2010). Waves of autocrine signaling in patterned epithelia. Math. Model. Nat. Phenom., 5, 46-63.
Muratov, Cyrill (2010). Droplet phases in non-local Ginzburg-Landau models with Coulomb repulsion in two dimensions. Commun. Math. Phys., 299, 45-87.
Muratov, Cyrill, & Osipov, V. (2009). Bit storage by $360$ domain walls in ferromagnetic nanorings. IEEE Trans. Magn., 45, 3207–3209.
Muratov, Cyrill, & Osipov, V (2009). Bit storage by 360-degree domain walls in ferromagnetic nanorings. IEEE Trans. Magn, 45, 3207-3209.
Muratov, Cyrill, & Posta, F, & Shvartsman, S (2009). Autocrine signal transmission with extracellular ligand degradation. Phys. Biol., 6, 016006, 13 pages.
Osipov, V, & Muratov, Cyrill (2008). Dynamic condensation blocking in cryogenic refueling. Appl. Phys. Lett., 93, 224105, 3 pages.
Muratov, Cyrill, & Novaga, M (2008). Front propagation in infinite cylinders. I. A variational approach.. Commun. Math. Sci., 6, 799--826.
Muratov, Cyrill, & Shvartsman, S. (2008). Boundary homogenization for periodic arrays of absorbers. Multiscale Model. Simul., 7, 44–61.
Lucia, M., & Muratov, Cyrill, & Novaga, M. (2008). Existence of traveling waves of invasion for Ginzburg-Landau-type problems in infinite cylinders. Arch. Rational Mech. Anal., 188, 475–508.
Muratov, Cyrill, & Novaga, M. (2008). Front propagation in infinite cylinders. II. The sharp reaction zone limit. Calc. Var. PDE, 31, 521–547.
Muratov, Cyrill, & Vanden-Eijnden, E. (2008). Noise-induced mixed-mode oscillations in a relaxation oscillator near the onset of a limit cycle. Chaos, 18, 015111 pp. 1–11.
Muratov, Cyrill, & Osipov, V. (2008). Theory of $360$ domain walls in thin ferromagnetic films. J. Appl. Phys., 104, 053908 pp. 1–14.
Muratov, Cyrill, & Osipov, V (2008). Theory of 360° domain walls in thin ferromagnetic films. J. Appl. Phys., 104, 053908 14 pages.
Posta, F, & Muratov, Cyrill, & Shvartsman, S (2008). Compensated optimal grids for elliptic boundary-value problems. J. Comput. Phys. , 227, 8622-8635.
Muratov, Cyrill, & Vanden-Eijnden, E., & E, W. (2007). Noise can play an organizing role for the coherent dynamics in excitable media. Proc. Natl. Acad. Sci. US., 104, 702–707.
Berezhkovskii, A., & Monine, M., & Muratov, Cyrill, & Shvartsman, S. (2006). Homogenization of boundary conditions for surfaces with regular arrays of traps. J. Chem. Phys., 124, 036103 pp. 1-3.
DeVille, R., & Muratov, Cyrill, & Vanden-Eijnden, E. (2006). Non-meanfield deterministic limits in chemical reaction kinetics. J. Chem. Phys., 124, 231102 pp. 1–4.
Muratov, Cyrill, & Osipov, V. (2006). Optimal grid-based methods for thin film micromagnetics simulations. J. Comp. Phys., 216, 637–653.
Reeves, G., & Muratov, Cyrill, & Schüpbach, T., & Shvartsman, S. (2006). Quantitative Models of Developmental Pattern Formation. Devel. Cell, 11, 289–300.
Bertsch, M., & Muratov, Cyrill, & Primi, I. (2006). Traveling wave solutions of harmonic heat flow. Calc. Var. PDE, 26, 489—509.
Muratov, Cyrill, & Vanden-Eijnden, E., & E, W. (2005). Self-induced stochastic resonance in excitable systems. Physica D, 210, 227–240.
DeVille, R., & Vanden-Eijnden, E., & Muratov, Cyrill (2005). Two distinct mechanisms of coherence in randomly perturbed dynamical systems. Phys. Rev. E, 72, 031105 pp. 1-10.
Muratov, Cyrill (2004). A global variational structure and propagation of disturbances in reaction-diffusion systems of gradient type. Discrete Cont. Dyn. S., Ser. B, 4, 867–892.
Muratov, Cyrill, & Vanden-Eijnden, E. (2004). Breakup of universality in the generalized spinodal nucleation theory. J. Stat. Phys., 114, 605–623.
Lucia, M., & Muratov, Cyrill, & Novaga, M. (2004). Linear vs. nonlinear selection for the propagation speed of the solutions of scalar reaction-diffusion equations invading an unstable equilibrium. Commun. Pure Appl. Math., 57, 616–636.
Muratov, Cyrill, & Shvartsman, S. (2004). Signal propagation and failure in discrete autocrine relays. Phys. Rev. Lett., 93, 118101 pp. 1–4.
Muratov, Cyrill, & Shvartsman, S. (2003). An asymptotic study of the inductive pattern formation mechanism in Drosophila egg development. Physica D, 186, 93-108.
Pribyl, M., & Muratov, Cyrill, & Shvartsman, S. (2003). Discrete models of autocrine cell communication in epithelial layers. Biophys. J., 84, 3624–3635.
Pribyl, M., & Muratov, Cyrill, & Shvartsman, S. (2003). Long-range signal transmission in autocrine relays. Biophys. J., 84, 883–896.
Pribyl, M., & Muratov, Cyrill, & Shvartsman, S. (2003). Transitions in the model of epithelial patterning. Dev. Dynam., 226, 155–159.
Shvartsman, S., & Muratov, Cyrill, & Lauffenburger, D. (2002). Modeling and computational analysis of EGF receptor-mediated cell communication in Drosophila oogenesis. Development, 129, 2577–2589.
Muratov, Cyrill, & Osipov, V. (2002). Stability of static spike autosolitons in the Gray-Scott model. SIAM J. Appl. Math., 62, 1463–1487.
Muratov, Cyrill (2002). Theory of domain patterns in systems with long-range interactions of Coulomb type. Phys. Rev. E, 66, 066108 pp. 1–25.
Muratov, Cyrill, & E, W. (2002). Theory of phase separation kinetics in polymer–liquid crystal systems. J. Chem. Phys., 116, 4723–4734.
Muratov, Cyrill, & Osipov, V. (2001). Spike autosolitons and pattern formation scenarios in the two-dimensional Gray-Scott model. Eur. Phys. J. B, 22, 213–221.
Muratov, Cyrill, & Osipov, V. (2001). Traveling spike autosolitons in the Gray-Scott model. Physica D, 155, 112–131.
Muratov, Cyrill (2000). A quantitative approximation scheme for the traveling wave solutions of the Hodgkin-Huxley model. Biophys. J., 79, 2893–2901.
Muratov, Cyrill, & Osipov, V. (2000). Static spike autosolitons in the Gray-Scott model. J. Phys. A: Mat. Gen., 33, 8893-8916.
Muratov, Cyrill, & Osipov, V. (1999). Spike autosolitons in the Gray-Scott model. CAMS Rep. 9900-10, NJIT (preprint patt-sol/9804001, LANL archive),
Muratov, Cyrill, & Osipov, V. (1999). Theory of spike spiral waves in a reaction-diffusion system. Phys. Rev. E, 60, 242-246.
Muratov, Cyrill (1999). Traveling wave solutions in the Burridge-Knopoff model. Phys. Rev. E, 59, 3847–3857.
Muratov, Cyrill (1998). Unusual coarsening during phase separation of polymer systems. Phys. Rev. Lett., 81, 3699-3702.
Muratov, Cyrill (1997). Instabilities and disorder of the domain patterns in the systems with competing interactions. Phys. Rev. Lett., 78, 3149-3152.
Muratov, Cyrill (1997). Synchronization, chaos, and the breakdown of the collective domain oscillations in reaction-diffusion systems. Phys. Rev. E, 55, 1463-1477.
Muratov, Cyrill, & Osipov, V. (1996). General theory of instabilities for patterns with sharp interfaces in reaction-diffusion systems. Phys. Rev. E, 53, 3101-3116.
Muratov, Cyrill, & Osipov, V. (1996). Scenarios of domain pattern formation in a reaction-diffusion system. Phys. Rev. E, 54, 4860-4879.
Muratov, Cyrill (1996). Self-replication and splitting of domain patterns in reaction-diffusion systems with the fast inhibitor. Phys. Rev. E, 54, 3369-3376.
Osipov, V., & Muratov, Cyrill (1995). Ultrafast traveling spike autosolitons in reaction-diffusion systems. Phys. Rev. Lett., 75, 338-341.
Osipov, V., & Muratov, Cyrill (1994). Properties of wide-peak autosolitons in electron-hole and gas plasma. Phys. Rev. E., 50, 3251-3254.
COLLAPSE
Conference Proceeding
Spectral mass gauging of unsettled liquid with acoustic waves
IOP Conf. Ser.: Mater. Sci. Eng., January (1st Quarter/Winter) 2018
Micromagnetic Studies of the Effects of Crystalline Anisotropy on the Remanent Magnetization of Ferromagnetic Nanorings
IEEE Trans. Magn., July (3rd Quarter/Summer) 2013
Energy Minimizers in Thin Ferromagnetic Nanorings with Four-Fold In-Plane Anisotropy
American Physical Society, March 2013
Nucleate boiling in long-term cryogenic propellant storage in microgravity
Proceedings of the 62nd International Astronautical Congress, October (4th Quarter/Autumn) 2011
IOP Conf. Ser.: Mater. Sci. Eng., January (1st Quarter/Winter) 2018
Micromagnetic Studies of the Effects of Crystalline Anisotropy on the Remanent Magnetization of Ferromagnetic Nanorings
IEEE Trans. Magn., July (3rd Quarter/Summer) 2013
Energy Minimizers in Thin Ferromagnetic Nanorings with Four-Fold In-Plane Anisotropy
American Physical Society, March 2013
Nucleate boiling in long-term cryogenic propellant storage in microgravity
Proceedings of the 62nd International Astronautical Congress, October (4th Quarter/Autumn) 2011
Technical Report
A Dynamical Physics Model of Nominal and Faulty Operational Modes of Propellant Loading (Liquid Hydrogen): From Space Shuttle to Future Missions
NASA Technical Reports, July (3rd Quarter/Summer) 2010
Front propagation in infinite cylinders: a variational approach
Scuola Normale Superiore, 2006
NASA Technical Reports, July (3rd Quarter/Summer) 2010
Front propagation in infinite cylinders: a variational approach
Scuola Normale Superiore, 2006
Chapter
Muratov, Cyrill, & Novaga, M., & Orlandi, G., & García-Cervera, C. (2009). Geometric strong segregation theory for compositionally asymmetric diblock copolymer melts, Novaga, M.; Orlandi, G. (Eds.), Edizioni della Normale. Pisa: Edizioni della Normale
Muratov, Cyrill, & Novaga, M, & Orlandi, G, & Garcia-Cervera, C (2009). Geometric strong segregation theory for compositional ly asymmetric diblock copolymer melts, Edizioni della Normale. (pp. 171-182). Pisa: Edizioni della Normale
Muratov, Cyrill, & Novaga, M, & Orlandi, G, & Garcia-Cervera, C (2009). Geometric strong segregation theory for compositional ly asymmetric diblock copolymer melts, Edizioni della Normale. (pp. 171-182). Pisa: Edizioni della Normale
Book
Muratov, Cyrill (1998). Theory of domain patterns in systems with long-range interactions of Coulombic type. Boston University: Ph. D. Thesis