Linda Cummings
Linda Cummings
Professor, Mathematical Sciences
208C Cullimore Hall (CULM)
About Me
Professor Cummings studied for her BA and PhD at the University of Oxford. She held postdoctoral positions at U. Oxford, Technion IIT, Ecole Normale Superieure (Paris), and a faculty position at the University of Nottingham, before coming to NJIT in 2008.
Education
Ph.D.; University of Oxford; Mathematics; 1996
B.A.; University of Oxford; Mathematics; 1993
B.A.; University of Oxford; Mathematics; 1993
Office Hours
By appointment
Website
2024 Fall Courses
MATH 790A - DOCT DISSERTATION & RES
MATH 792B - PRE DOCTORAL RESEARCH
MATH 792B - PRE DOCTORAL RESEARCH
Teaching Interests
Complex analysis, fluid dynamics, differential equations, mathematical modeling, calculus.
Past Courses
MATH 112: CALCULUS II
MATH 213: CALCULUS IIIB
MATH 222: DIFFERENTIAL EQUATIONS
MATH 227: MATHEMATICAL MODELING
MATH 331: INTRO PARTIAL DIFF EQ
MATH 331: INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS
MATH 332: INTRO COMPLEX VARIABLES
MATH 451: METHODS APPL MATH II
MATH 613: ADV APPLIED MATH-MODELNG
MATH 656: COMPLEX VARIABLES
MATH 656: COMPLEX VARIABLES I
MATH 689: ADV APPLIED MATH II
MATH 715: MATHEMATICAL FLUID DYNAMICS I
MATH 756: COMPLEX VARIABLES II
MATH 791: GRADUATE SEMINAR
MATH 213: CALCULUS IIIB
MATH 222: DIFFERENTIAL EQUATIONS
MATH 227: MATHEMATICAL MODELING
MATH 331: INTRO PARTIAL DIFF EQ
MATH 331: INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS
MATH 332: INTRO COMPLEX VARIABLES
MATH 451: METHODS APPL MATH II
MATH 613: ADV APPLIED MATH-MODELNG
MATH 656: COMPLEX VARIABLES
MATH 656: COMPLEX VARIABLES I
MATH 689: ADV APPLIED MATH II
MATH 715: MATHEMATICAL FLUID DYNAMICS I
MATH 756: COMPLEX VARIABLES II
MATH 791: GRADUATE SEMINAR
Research Interests
Fluid dynamics, liquid crystals, free boundary problems, asymptotics, complex variable methods, mathematical modeling of industrial and biomedical systems.
Conference Abstract
Mathematical Modeling of Adsorption and Sieving in Membrane Pore Networks
American Physical Society Division of Fluid Mechanics Annual Meeting, November 2024
Understanding Fluid Flux: Topological Data Analysis of Porous Media
SIAM Conference on Mathematics of Data Science, October (4th Quarter/Autumn) 2024
Network modeling of porous media transport
1st European Fluid Dynamics Conference Publisher, September 2024
Stochastic Modeling of Adsorption and Sieving in Membrane Pore Networks
Workshop on Robust Optimization and Simulation of Complex Stochastic Systems Publisher, September 2024
Network and Stochastic Modeling of Membrane Filtration with Multiple Fouling Modes
ECCOMAS, June 2024
American Physical Society Division of Fluid Mechanics Annual Meeting, November 2024
Understanding Fluid Flux: Topological Data Analysis of Porous Media
SIAM Conference on Mathematics of Data Science, October (4th Quarter/Autumn) 2024
Network modeling of porous media transport
1st European Fluid Dynamics Conference Publisher, September 2024
Stochastic Modeling of Adsorption and Sieving in Membrane Pore Networks
Workshop on Robust Optimization and Simulation of Complex Stochastic Systems Publisher, September 2024
Network and Stochastic Modeling of Membrane Filtration with Multiple Fouling Modes
ECCOMAS, June 2024
SHOW MORE
Topological data analysis applied to networks modeling porous media transport
ECCOMAS, June 2024
Modeling Filtration through Random Pore Networks: Correlating Structure and Performance
Complex Networks, December 2023
Extracting oil from an oil and water mixture by using their different wetting properties via the Acoustowetting phenomenon
American Physical Society, November 2023
Forced Phase Separation in a Closed Cell
American Physical Society, November 2023
Network modeling of membrane filtration with multiple fouling modes
American Physical Society, November 2023
On correlating topology and performance of pore networks in membrane filters
American Physical Society, November 2023
Simulating Thermal Effects in the Dewetting of Liquid Metal Nanostructures
American Physical Society, November 2023
Thin Films Under Action of Surface Acoustic Waves: Experiments, Modeling, and Simulations
American Physical Society, November 2023
Dewetting of nematic liquid crystal films
Bulletin of the American Physical Society, March 2020
Simulating instabilities of liquid metal alloys on nanoscale using molecular dynamics simulations
Bulletin of the American Physical Society, March 2020
Wetting and dewetting of nanoscale films of nematic liquid crystal
Bulletin of the American Physical Society, March 2020
Modeling dynamics of thin films including thermal effects
February 2020
Instabilities of Liquid Crystal Films on Nanoscale
November 2019
Metal films of nanoscale thickness: from targeted experiments to predictive modeling and accurate simulations
Karlsruhe Institute of Technology, September 2019
Stochastic Modeling of Flow Through Complex Geometries
U. Buenos Aires, June 2019
Modeling liquid crystal films on nanoscale
BIRS Conference Center, April (2nd Quarter/Spring) 2019
Dewetting and pattern formation in ultra-thin films of nematic liquid crystal: effects of variable substrate anchoring
American Physical Society, November 2018
Flow and fouling in multi-layered membrane filters
American Physical Society, November 2018
Flow and fouling in multi-layered membrane filters
Bulletin of the American Physical Society, November 2018
Including thermal effects in computing dynamics of thin films on thermally conductive substrates
American Physical Society, November 2018
Membrane filtration with multiple fouling mechanisms
American Physical Society, November 2018
Modeling and design optimization for pleated membrane filters
American Physical Society, November 2018
Modeling filtering process using stochastic simulations of Monte-Carlo type
American Physical Society, November 2018
Modelling connectivity and asymmetry in membrane filters
Bulletin of the American Physical Society, November 2018
Stability of fluid films of nanoscale thickness involving contact lines
American Physical Society, November 2018
ECCOMAS, June 2024
Modeling Filtration through Random Pore Networks: Correlating Structure and Performance
Complex Networks, December 2023
Extracting oil from an oil and water mixture by using their different wetting properties via the Acoustowetting phenomenon
American Physical Society, November 2023
Forced Phase Separation in a Closed Cell
American Physical Society, November 2023
Network modeling of membrane filtration with multiple fouling modes
American Physical Society, November 2023
On correlating topology and performance of pore networks in membrane filters
American Physical Society, November 2023
Simulating Thermal Effects in the Dewetting of Liquid Metal Nanostructures
American Physical Society, November 2023
Thin Films Under Action of Surface Acoustic Waves: Experiments, Modeling, and Simulations
American Physical Society, November 2023
Dewetting of nematic liquid crystal films
Bulletin of the American Physical Society, March 2020
Simulating instabilities of liquid metal alloys on nanoscale using molecular dynamics simulations
Bulletin of the American Physical Society, March 2020
Wetting and dewetting of nanoscale films of nematic liquid crystal
Bulletin of the American Physical Society, March 2020
Modeling dynamics of thin films including thermal effects
February 2020
Instabilities of Liquid Crystal Films on Nanoscale
November 2019
Metal films of nanoscale thickness: from targeted experiments to predictive modeling and accurate simulations
Karlsruhe Institute of Technology, September 2019
Stochastic Modeling of Flow Through Complex Geometries
U. Buenos Aires, June 2019
Modeling liquid crystal films on nanoscale
BIRS Conference Center, April (2nd Quarter/Spring) 2019
Dewetting and pattern formation in ultra-thin films of nematic liquid crystal: effects of variable substrate anchoring
American Physical Society, November 2018
Flow and fouling in multi-layered membrane filters
American Physical Society, November 2018
Flow and fouling in multi-layered membrane filters
Bulletin of the American Physical Society, November 2018
Including thermal effects in computing dynamics of thin films on thermally conductive substrates
American Physical Society, November 2018
Membrane filtration with multiple fouling mechanisms
American Physical Society, November 2018
Modeling and design optimization for pleated membrane filters
American Physical Society, November 2018
Modeling filtering process using stochastic simulations of Monte-Carlo type
American Physical Society, November 2018
Modelling connectivity and asymmetry in membrane filters
Bulletin of the American Physical Society, November 2018
Stability of fluid films of nanoscale thickness involving contact lines
American Physical Society, November 2018
COLLAPSE
Conference Paper
Laser heating and melting of metals on nanoscale: breakup of metal filaments
International Heat Transfer Conference Publisher, August 2023
International Heat Transfer Conference Publisher, August 2023
Journal Article
Gu, Binan, & Kondic, Lou, & Cummings, Linda J. (2023). Flow through pore-size graded membrane pore network. Phys. Rev. Fluids , 8, 044502.
Sun, Yixuan, & Cummings, Linda J., & Kondic, Lou (2022). Filtration with Multiple Species of Particles. Transport in Porous Media, 5, 044306.
Gu, Binan, & Cummings, Linda J., & Kondic, Lou (2022). Network-based membrane filters: Influence of network and pore size variability on filtration performance. J. Membrane Science, 657, 120668.
Gu, Binan, & Cummings, Linda J., & Kondic, Lou (2022). A Graphical Representation of Membrane Filtration. SIAM J. Appl. Math., 82, 950.
Allaire, Ryan, & Cummings, Linda J., & Kondic, Lou (2022). Influence of thermal effects on the breakup of thin films of nanometric thickness. Phys. Rev. Fluids, 7, 064001.
Sun, Yixuan, & Cummings, Linda J., & Kondic, Lou (2022). Filtration with Multiple Species of Particles. Transport in Porous Media, 5, 044306.
Gu, Binan, & Cummings, Linda J., & Kondic, Lou (2022). Network-based membrane filters: Influence of network and pore size variability on filtration performance. J. Membrane Science, 657, 120668.
Gu, Binan, & Cummings, Linda J., & Kondic, Lou (2022). A Graphical Representation of Membrane Filtration. SIAM J. Appl. Math., 82, 950.
Allaire, Ryan, & Cummings, Linda J., & Kondic, Lou (2022). Influence of thermal effects on the breakup of thin films of nanometric thickness. Phys. Rev. Fluids, 7, 064001.
SHOW MORE
Fong, D., & Cummings, Linda J., & Chapman, S. J., & Sanaei, P. (2021). On the performance of multilayered membrane filters. Journal of Engineering Mathematics, 127(1),
Kondic, Lou, & Cummings, Linda J. (2021). Instabilities of nematic liquid crystal films. Curries. Opin. Colloid In., 455, 101478.
Allaire, Ryan, & Cummings, Linda J., & Kondic, Lou (2021). On efficient asymptotic modelling of thin films on thermally conductive substrates. Journal of Fluid Mechanics, 915, A133.
Allaire, Ryan, & Kondic, Lou, & Cummings, Linda J., & Rack, Philip, & Fuentes-Cabrera, Miguel (2021). The Role of Phase Separation on Rayleigh-Plateau Type Instabilities in Alloys. Journal of Physical Chemistry C, 125, 5723.
Mema, Ensela, & Kondic, Lou, & Cummings, Linda J. (2021). Dielectrowetting of a thin nematic liquid crystal layer. Physical Review E, 103, 032702.
Lam, Michael, & Cummings, Linda J., & Kondic, Lou (2020). Effects of spatially-varying substrate anchoring on instabilities and dewetting of thin Nematic Liquid Crystal films. Soft Matter, 16, 10187.
Gu, Binan, & Renaud, Dilan, & Sanai, Pejman, & Kondic, Lou, & Cummings, Linda J. (2020). On the influence of pore connectivity on performance of membrane filters. Journal of Fluid Mechanics, 902, A5.
Sun, Yixuan, & Sanaei, Pejman, & Kondic, Lou, & Cummings, Linda J. (2020). Modeling and design optimization for pleated membrane filters. Physical Review Fluids, 5(4), 044306.
Sanaei, Pejman, & Cummings, Linda J. (2019). Membrane filtration with multiple fouling mechanisms. Physical Review Fluids, 4(12), 124301.
Batson, William, & Cummings, Linda J., & Shirokoff, David G., & Kondic, Lou (2019). Oscillatory instability of liquid films nonlocally heated from below. Journal of Fluid Mechanics, 872, 928-962.
Sanaei, Pejman, & Cummings, Linda J., & Waters, Sarah L , & Griffiths, Ian M (2019). Curvature- and fluid-stress-driven growth in a tissue engineering scaffold. Biomechanics and modeling in Mechanobiology, 18(3), 589.
Allaire, Ryan , & Dhakane, A., & Emery, R. , & Ganesh, P. , & Rack, P. , & Kondic, Lou, & Cummings, Linda J., & Fuentes-Cabrera, M. (2019). Surface, Interface, and Temperature Effects on the Phase Separation and Nanoparticle Self Assembly of Bi-Metallic Ni0.5Ag0.5: A Molecular Dynamics Study. Nanomaterials, 9, 1040.
Lam, Michael A, & Cummings, Linda J., & Kondic, Lou (2019). Computing dynamics of thin films via large-scale GPU-based simulations. Journal of Computational Physics X, 2, 100001.
Sanaei, Pejman, & Cummings, Linda J. (2018). Membrane filtration with complex branching pore morphology. Physical Review Fluids, 3(9), 094305.
Mema, Ensela, & Kondic, Lou, & Cummings, Linda J. (2018). Director gliding in a nematic liquid crystal layer: Quantitative comparison with experiments. Physical Review E, 97(3), 032704.
Lam, Michael A, & Cummings, Linda J., & Kondic, Lou (2018). Stability of thin fluid films characterized by a complex form of effective disjoining pressure. Journal of Fluid Mechanics, 841, 925-961.
Fong, Daniel, & Cummings, Linda J. (2017). Mathematical Modeling of Ischemia-Reperfusion Injury and Postconditioning Therapy . Bulletin of Mathematical Biology, 79(11), 2474-2511.
Sanaei, Pejman, & Cummings, Linda J. (2017). Flow and fouling in membrane filters: effects of membrane morphology. Journal of Fluid Mechanics, 818, 744-771.
Mema, Ensela, & Kondic, Lou, & Cummings, Linda J. (2017). Effects of flexoelectricity and weak anchoring on a Freedericksz transition cell. Physical Review E, 95, 012701.
Sanaei, Pejman , & Richardson, Giles W, & Witelski, Tom, & Cummings, Linda J. (2016). Flow and fouling in a pleated membrane filter. Journal of Fluid Mechanics, 795, 36-59.
Afkhami , Shahriar, & Cummings, Linda J., & Griffiths, Ian M (2016). Interfacial deformation and jetting of a magnetic fluid. Computers and Fluids, 124, 149–156.
Mema, Ensela, & Kondic, Lou, & Cummings, Linda J. (2015). Substrate induced gliding in a nematic liquid crystal layer. Physical Review E, 92(6), 062513.
Anderson, Thomas G, & Mema, Ensela, & Kondic, Lou, & Cummings, Linda J. (2015). Transitions in Poiseuille flow of nematic liquid crystal. International Journal of Nonlinear Mechanics, 75, 15-21.
Lam, Michael A, & Cummings, Linda J., & Lin, Te-Sheng, & Kondic, Lou (2015). Three-dimensional coating flow of nematic liquid crystal on an inclined substrate. European Journal of Applied Mathematics, 26(5), 647-669.
Cummings, Linda J., & Low, Jonathan, & Myers, Tim G (2014). Extensional flow of nematic liquid crystal with an applied electric field. European Journal of Applied Mathematics, 25(4), 397.
Cummings, Linda J., & Mema, Ensela, & Cai, Chenjing, & Kondic, Lou (2014). Electric field variations within a nematic liquid crystal layer. Physical Review E, 90, 012503.
Pohlmeyer, Jeffrey V., & Cummings, Linda J. (2013). Cyclic loading of growing tissue in a bioreactor: Mathematical model and asymptotic analysis. Bulletin of Mathematical Biology, Online,
Lin, Te-Sheng, & Cummings, Linda J., & Archer, Andrew J, & Kondic, Lou, & Thiele, Uwe (2013). Note on the hydrodynamic description of thin nematic films: strong anchoring model. Physics of Fluids, 25(8), 082102.
Cummings, Linda J., & Cai, Chenjing, & Kondic, Lou (2013). Bifurcation properties of nematic liquid crystals exposed to an electric field: switchability, bistability & multistability. Physical Review E, 88, 012509.
Lin, Te-Sheng, & Kondic, Lou, & Thiele, Uwe, & Cummings, Linda J. (2013). Modelling spreading dynamics of liquid crystals in three spatial dimensions. Journal of Fluid Mechanics, 729, 214-230.
Cummings, Linda J., & Cai, Chenjing, & Kondic, Lou (2013). Towards an optimal model for a bistable nematic liquid crystal display device. Journal of Engineering Mathematics, 80(1), 21-38.
Taroni, Michele, & Breward, Chris J W, & Cummings, Linda J., & Griffiths, Ian M (2013). Asymptotic solutions of glass temperature profiles during steady optical fibre drawing. Journal of Engineering Mathematics, 80(1), 1-20.
Pohlmeyer, Jeffrey, & Waters, Sarah L, & Cummings, Linda J. (2013). Mathematical model of growth factor driven haptotaxis and proliferation in a tissue engineering scaffold. Bulletin of Mathematical Biology, 75(3), 393-427.
Cummings, Linda J., & Perez-Castillejos, Raquel, & Mack, Eric T (2012). Analysis of biochemical equilibria relevant to the immune response: finding the dissociation constants. Bulletin of Mathematical Biology, 74(5), 1171-1206.
Lin, Te-Sheng, & Kondic, Lou, & Cummings, Linda J. (2012). Defect modeling in spreading nematic droplets. Physical Review E, 85, 012702.
Naughton, Sean P, & Patel, Namrata K, & Seric, Ivana, & Kondic, Lou, & Lin, Te-Sheng, & Cummings, Linda J. (2012). Instability of gravity-driven flow of liquid crystal films. SIAM Undergraduate Research Online, 5, 1.
Lin, Te-Sheng, & Kondic, Lou, & Cummings, Linda J. (2012). Defect modeling in spreading nematic droplets. Physical Review E, 012702.
Cummings, Linda J., & Lin, Te-Sheng, & Kondic, Lou (2011). Modeling and simulations of the spreading and destabilization of small nematic droplets. Physics of Fluids, 23, 043102, 1 - 11.
Mack, Eric T, & Cummings, Linda J., & Perez-Castillejos, Raquel (2010). Mathematical Model for Determining the Binding Constants between Immunoglobulins, Bivalent Ligands, and Monovalent Ligands. Analytical and Bioanalytical Chemistry, 399(4), 1641-1652.
Ashi, Hala A, & Cummings, Linda J., & Matthews, Paul C (2010). Exponential time-differencing methods: stability analysis and application to the nonlinear Schrodinger equation. International Journal of Numerical Methods and Applications, 4, 99-128.
Cummings, Linda J., & Band, Leah, & Waters, Sarah, & Wattis, Jonathan (2009). Modelling crystal aggregation and deposition in the catheterised lower urinary tract. Journal of Mathematical Biology, 59(6), 809-840.
Cummings, Linda J., & Sawyer, Nicholas, & Morgan, Stephen, & Rose, Felicity, & Waters, Sarah (2009). Tracking large solid constructs suspended in a rotating bioreactor: a combined experimental and theoretical study. Biotechnology & Bioengineering, 104(6), 1224-1234.
Yi, Xiang, & Wattis, Jonathan AD, & Susanto, Hadi, & Cummings, Linda J. (2009). Discrete breathers in a 2D spring-mass lattice. Journal of Physics A: Mathematical & Theoretical, 42(35), 355207.
Cummings, Linda J., & Yi, Xiang, & Wattis, Jonathan, & Susanto, Hadi (2009). Discrete breathers in a two-dimensional spring-mass lattice. Journal of Physics A: Mathematical & Theoretical, 42(35), 355207.
Cummings, Linda J., & Ashi, Hala , & Matthews, Paul (2009). Comparison of Methods for evaluating functions of a matrix exponential. Applied Numerical Mathematics, 59, 468-486.
Cummings, Linda J., & Whittaker, Robert, & Booth, Richard, & Dyson, Rosemary, & Bailey, Claire, & Chini, Louise, & Naire, Shailesh, & Payvandi, Sevil, & Rong, Zimei, & Woollard, Hannah , & Waters, Sarah (2009). Mathematical modelling of fibre-enhanced perfusion in a tissue engineering bioreactor. Journal of Theoretical Biology, 256(4), 533-546.
Cummings, Linda J., & Siggers, Jennifer H, & Waters, Sarah L, & Wattis, Jonathan A (2009). Flow dynamics in a stented ureter. Oxford Journals/IMA, 26(1), 1-24.
Kondic, Lou, & Cummings, Linda J. (2021). Instabilities of nematic liquid crystal films. Curries. Opin. Colloid In., 455, 101478.
Allaire, Ryan, & Cummings, Linda J., & Kondic, Lou (2021). On efficient asymptotic modelling of thin films on thermally conductive substrates. Journal of Fluid Mechanics, 915, A133.
Allaire, Ryan, & Kondic, Lou, & Cummings, Linda J., & Rack, Philip, & Fuentes-Cabrera, Miguel (2021). The Role of Phase Separation on Rayleigh-Plateau Type Instabilities in Alloys. Journal of Physical Chemistry C, 125, 5723.
Mema, Ensela, & Kondic, Lou, & Cummings, Linda J. (2021). Dielectrowetting of a thin nematic liquid crystal layer. Physical Review E, 103, 032702.
Lam, Michael, & Cummings, Linda J., & Kondic, Lou (2020). Effects of spatially-varying substrate anchoring on instabilities and dewetting of thin Nematic Liquid Crystal films. Soft Matter, 16, 10187.
Gu, Binan, & Renaud, Dilan, & Sanai, Pejman, & Kondic, Lou, & Cummings, Linda J. (2020). On the influence of pore connectivity on performance of membrane filters. Journal of Fluid Mechanics, 902, A5.
Sun, Yixuan, & Sanaei, Pejman, & Kondic, Lou, & Cummings, Linda J. (2020). Modeling and design optimization for pleated membrane filters. Physical Review Fluids, 5(4), 044306.
Sanaei, Pejman, & Cummings, Linda J. (2019). Membrane filtration with multiple fouling mechanisms. Physical Review Fluids, 4(12), 124301.
Batson, William, & Cummings, Linda J., & Shirokoff, David G., & Kondic, Lou (2019). Oscillatory instability of liquid films nonlocally heated from below. Journal of Fluid Mechanics, 872, 928-962.
Sanaei, Pejman, & Cummings, Linda J., & Waters, Sarah L , & Griffiths, Ian M (2019). Curvature- and fluid-stress-driven growth in a tissue engineering scaffold. Biomechanics and modeling in Mechanobiology, 18(3), 589.
Allaire, Ryan , & Dhakane, A., & Emery, R. , & Ganesh, P. , & Rack, P. , & Kondic, Lou, & Cummings, Linda J., & Fuentes-Cabrera, M. (2019). Surface, Interface, and Temperature Effects on the Phase Separation and Nanoparticle Self Assembly of Bi-Metallic Ni0.5Ag0.5: A Molecular Dynamics Study. Nanomaterials, 9, 1040.
Lam, Michael A, & Cummings, Linda J., & Kondic, Lou (2019). Computing dynamics of thin films via large-scale GPU-based simulations. Journal of Computational Physics X, 2, 100001.
Sanaei, Pejman, & Cummings, Linda J. (2018). Membrane filtration with complex branching pore morphology. Physical Review Fluids, 3(9), 094305.
Mema, Ensela, & Kondic, Lou, & Cummings, Linda J. (2018). Director gliding in a nematic liquid crystal layer: Quantitative comparison with experiments. Physical Review E, 97(3), 032704.
Lam, Michael A, & Cummings, Linda J., & Kondic, Lou (2018). Stability of thin fluid films characterized by a complex form of effective disjoining pressure. Journal of Fluid Mechanics, 841, 925-961.
Fong, Daniel, & Cummings, Linda J. (2017). Mathematical Modeling of Ischemia-Reperfusion Injury and Postconditioning Therapy . Bulletin of Mathematical Biology, 79(11), 2474-2511.
Sanaei, Pejman, & Cummings, Linda J. (2017). Flow and fouling in membrane filters: effects of membrane morphology. Journal of Fluid Mechanics, 818, 744-771.
Mema, Ensela, & Kondic, Lou, & Cummings, Linda J. (2017). Effects of flexoelectricity and weak anchoring on a Freedericksz transition cell. Physical Review E, 95, 012701.
Sanaei, Pejman , & Richardson, Giles W, & Witelski, Tom, & Cummings, Linda J. (2016). Flow and fouling in a pleated membrane filter. Journal of Fluid Mechanics, 795, 36-59.
Afkhami , Shahriar, & Cummings, Linda J., & Griffiths, Ian M (2016). Interfacial deformation and jetting of a magnetic fluid. Computers and Fluids, 124, 149–156.
Mema, Ensela, & Kondic, Lou, & Cummings, Linda J. (2015). Substrate induced gliding in a nematic liquid crystal layer. Physical Review E, 92(6), 062513.
Anderson, Thomas G, & Mema, Ensela, & Kondic, Lou, & Cummings, Linda J. (2015). Transitions in Poiseuille flow of nematic liquid crystal. International Journal of Nonlinear Mechanics, 75, 15-21.
Lam, Michael A, & Cummings, Linda J., & Lin, Te-Sheng, & Kondic, Lou (2015). Three-dimensional coating flow of nematic liquid crystal on an inclined substrate. European Journal of Applied Mathematics, 26(5), 647-669.
Cummings, Linda J., & Low, Jonathan, & Myers, Tim G (2014). Extensional flow of nematic liquid crystal with an applied electric field. European Journal of Applied Mathematics, 25(4), 397.
Cummings, Linda J., & Mema, Ensela, & Cai, Chenjing, & Kondic, Lou (2014). Electric field variations within a nematic liquid crystal layer. Physical Review E, 90, 012503.
Pohlmeyer, Jeffrey V., & Cummings, Linda J. (2013). Cyclic loading of growing tissue in a bioreactor: Mathematical model and asymptotic analysis. Bulletin of Mathematical Biology, Online,
Lin, Te-Sheng, & Cummings, Linda J., & Archer, Andrew J, & Kondic, Lou, & Thiele, Uwe (2013). Note on the hydrodynamic description of thin nematic films: strong anchoring model. Physics of Fluids, 25(8), 082102.
Cummings, Linda J., & Cai, Chenjing, & Kondic, Lou (2013). Bifurcation properties of nematic liquid crystals exposed to an electric field: switchability, bistability & multistability. Physical Review E, 88, 012509.
Lin, Te-Sheng, & Kondic, Lou, & Thiele, Uwe, & Cummings, Linda J. (2013). Modelling spreading dynamics of liquid crystals in three spatial dimensions. Journal of Fluid Mechanics, 729, 214-230.
Cummings, Linda J., & Cai, Chenjing, & Kondic, Lou (2013). Towards an optimal model for a bistable nematic liquid crystal display device. Journal of Engineering Mathematics, 80(1), 21-38.
Taroni, Michele, & Breward, Chris J W, & Cummings, Linda J., & Griffiths, Ian M (2013). Asymptotic solutions of glass temperature profiles during steady optical fibre drawing. Journal of Engineering Mathematics, 80(1), 1-20.
Pohlmeyer, Jeffrey, & Waters, Sarah L, & Cummings, Linda J. (2013). Mathematical model of growth factor driven haptotaxis and proliferation in a tissue engineering scaffold. Bulletin of Mathematical Biology, 75(3), 393-427.
Cummings, Linda J., & Perez-Castillejos, Raquel, & Mack, Eric T (2012). Analysis of biochemical equilibria relevant to the immune response: finding the dissociation constants. Bulletin of Mathematical Biology, 74(5), 1171-1206.
Lin, Te-Sheng, & Kondic, Lou, & Cummings, Linda J. (2012). Defect modeling in spreading nematic droplets. Physical Review E, 85, 012702.
Naughton, Sean P, & Patel, Namrata K, & Seric, Ivana, & Kondic, Lou, & Lin, Te-Sheng, & Cummings, Linda J. (2012). Instability of gravity-driven flow of liquid crystal films. SIAM Undergraduate Research Online, 5, 1.
Lin, Te-Sheng, & Kondic, Lou, & Cummings, Linda J. (2012). Defect modeling in spreading nematic droplets. Physical Review E, 012702.
Cummings, Linda J., & Lin, Te-Sheng, & Kondic, Lou (2011). Modeling and simulations of the spreading and destabilization of small nematic droplets. Physics of Fluids, 23, 043102, 1 - 11.
Mack, Eric T, & Cummings, Linda J., & Perez-Castillejos, Raquel (2010). Mathematical Model for Determining the Binding Constants between Immunoglobulins, Bivalent Ligands, and Monovalent Ligands. Analytical and Bioanalytical Chemistry, 399(4), 1641-1652.
Ashi, Hala A, & Cummings, Linda J., & Matthews, Paul C (2010). Exponential time-differencing methods: stability analysis and application to the nonlinear Schrodinger equation. International Journal of Numerical Methods and Applications, 4, 99-128.
Cummings, Linda J., & Band, Leah, & Waters, Sarah, & Wattis, Jonathan (2009). Modelling crystal aggregation and deposition in the catheterised lower urinary tract. Journal of Mathematical Biology, 59(6), 809-840.
Cummings, Linda J., & Sawyer, Nicholas, & Morgan, Stephen, & Rose, Felicity, & Waters, Sarah (2009). Tracking large solid constructs suspended in a rotating bioreactor: a combined experimental and theoretical study. Biotechnology & Bioengineering, 104(6), 1224-1234.
Yi, Xiang, & Wattis, Jonathan AD, & Susanto, Hadi, & Cummings, Linda J. (2009). Discrete breathers in a 2D spring-mass lattice. Journal of Physics A: Mathematical & Theoretical, 42(35), 355207.
Cummings, Linda J., & Yi, Xiang, & Wattis, Jonathan, & Susanto, Hadi (2009). Discrete breathers in a two-dimensional spring-mass lattice. Journal of Physics A: Mathematical & Theoretical, 42(35), 355207.
Cummings, Linda J., & Ashi, Hala , & Matthews, Paul (2009). Comparison of Methods for evaluating functions of a matrix exponential. Applied Numerical Mathematics, 59, 468-486.
Cummings, Linda J., & Whittaker, Robert, & Booth, Richard, & Dyson, Rosemary, & Bailey, Claire, & Chini, Louise, & Naire, Shailesh, & Payvandi, Sevil, & Rong, Zimei, & Woollard, Hannah , & Waters, Sarah (2009). Mathematical modelling of fibre-enhanced perfusion in a tissue engineering bioreactor. Journal of Theoretical Biology, 256(4), 533-546.
Cummings, Linda J., & Siggers, Jennifer H, & Waters, Sarah L, & Wattis, Jonathan A (2009). Flow dynamics in a stented ureter. Oxford Journals/IMA, 26(1), 1-24.
COLLAPSE
Conference Proceeding
The effect of scaffold morphology on tissue growth
Bulletin of the American Physical Society, March 2018
Instability of a liquid film non-locally heated from below
Bulletin of the American Physical Society, November 2017
Modeling filtration and fouling within a microstructured membrane filter
Bulletin of the American Physical Society, November 2017
Stochastic approach to model fouling in membrane filters with complex pore morphology
Bulletin of the American Physical Society, November 2017
Internal structure and morphology profile in optimizing filter membrane performance
Bulletin of the American Physical Society, March 2017
Bulletin of the American Physical Society, March 2018
Instability of a liquid film non-locally heated from below
Bulletin of the American Physical Society, November 2017
Modeling filtration and fouling within a microstructured membrane filter
Bulletin of the American Physical Society, November 2017
Stochastic approach to model fouling in membrane filters with complex pore morphology
Bulletin of the American Physical Society, November 2017
Internal structure and morphology profile in optimizing filter membrane performance
Bulletin of the American Physical Society, March 2017
SHOW MORE
Modeling branching pore structures in membrane filters
Bulletin of the American Physical Society, November 2016
Asymptotic model for three dimensional coating flow of nematic liquid crystal on an inclined substrate
Bulletin of the American Physical Society, March 2015
Substrate induced gliding for a nematic liquid crystal layer
Bulletin of the American Physical Society, March 2015
Free surface dynamics of nematic liquid crystal
Bulletin of the American Physical Society, November 2014
Changes in membrane filter capture efficiency due to folding
MPI 2013, Worcester Polytechnic Institute, October (4th Quarter/Autumn) 2013
Modeling of three-dimensional nematic droplets
Proceedings of 24th International Liquid Crystals conference, July (3rd Quarter/Summer) 2012
Matched asymptotic solutions of glass temperature profiles during optical fiber drawing
MPI 2011, New Jersey Institute of Technology, February 2012
Modeling spreading of nematic liquid crystal droplets
American Mathematical Society, April (2nd Quarter/Spring) 2011
Direct numerical simulation of ferrofluid drops in a cylindrical microfluidic under the influence of a non-uniform magnetic field
Proceedings of 16th US National Congress of Theoretical & Applied Mechanics, State College, PA, June 2010
Evolution of an elliptical bubble in an accelerating extensional flow
Mathematical Problems in Industry, September 2008
Bulletin of the American Physical Society, November 2016
Asymptotic model for three dimensional coating flow of nematic liquid crystal on an inclined substrate
Bulletin of the American Physical Society, March 2015
Substrate induced gliding for a nematic liquid crystal layer
Bulletin of the American Physical Society, March 2015
Free surface dynamics of nematic liquid crystal
Bulletin of the American Physical Society, November 2014
Changes in membrane filter capture efficiency due to folding
MPI 2013, Worcester Polytechnic Institute, October (4th Quarter/Autumn) 2013
Modeling of three-dimensional nematic droplets
Proceedings of 24th International Liquid Crystals conference, July (3rd Quarter/Summer) 2012
Matched asymptotic solutions of glass temperature profiles during optical fiber drawing
MPI 2011, New Jersey Institute of Technology, February 2012
Modeling spreading of nematic liquid crystal droplets
American Mathematical Society, April (2nd Quarter/Spring) 2011
Direct numerical simulation of ferrofluid drops in a cylindrical microfluidic under the influence of a non-uniform magnetic field
Proceedings of 16th US National Congress of Theoretical & Applied Mechanics, State College, PA, June 2010
Evolution of an elliptical bubble in an accelerating extensional flow
Mathematical Problems in Industry, September 2008
COLLAPSE
Other
Effect of an applied electric field on a weakly-anchored non-planar Nematic Liquid Crystal (NLC) layer
American Physical Society Meeting Abstracts, March 2016
Flow and fouling in membrane filters: Effect of membrane morphology
American Physical Society Meeting Abstracts, November 2015
American Physical Society Meeting Abstracts, March 2016
Flow and fouling in membrane filters: Effect of membrane morphology
American Physical Society Meeting Abstracts, November 2015
Technical Report
Two problems on the flow of viscous sheets of molten glass
RPI, April (2nd Quarter/Spring) 2011
RPI, April (2nd Quarter/Spring) 2011
Material Regarding New Courses/Curricula
Lecture notes for Math 756: Complex Analysis II
Lecture notes for Math 656: Complex Analysis and applications
Lecture notes for Math 656: Complex Analysis and applications
Professional
SIAM Journal on Applied Mathematics
Editorial Board, 2022
Proceeding of the Royal Society: A
Editorial Board, 2021
IMA Journal of Applied Mathematics
Editorial Board, 2011
Editorial Board, 2022
Proceeding of the Royal Society: A
Editorial Board, 2021
IMA Journal of Applied Mathematics
Editorial Board, 2011