Cyrill Muratov

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.