Leonid Berlyand
Co-Director of the Center for Mathematics of Living and Mimetic Matter; Professor of Mathematics
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337 McAllister
University Park, PA - lvb2@psu.edu
- 814-863-9683
Huck Affiliations
Publication Tags
Kinetics Bacteria Boundary Conditions Viscosity Approximation Trajectories Fluids Suspensions Ginzburg Landau Energy Shear Flow Model Inertia Cell Homogenization Vortex Flow Cell Motility Suspension Minimizer Particle Swimming Motion Interactions Existence Of Solutions EstimateMost Recent Papers
Stability for the training of deep neural networks and other classifiers
Leonid Berlyand, Pierre Emmanuel Jabin, C. Alex Safsten, 2021, Mathematical Models and Methods in Applied Sciences on p. 2345-2390
Surface anchoring controls orientation of a microswimmer in nematic liquid crystal
Hai Chi, Mykhailo Potomkin, Lei Zhang, Leonid Berlyand, Igor S. Aranson, 2020, Communications Physics
A kinetic approach to active rods dynamics in confined domains
Leonid Berlyand, Pierre Emmanuel Jabin, Mykhailo Potomkin, Elżbieta Ratajczyk, 2020, Multiscale Modeling and Simulation on p. 1-20
Continuum approximations to systems of correlated interacting particles
Leonid Berlyand, Robert Creese, Pierre Emmanuel Jabin, Mykhailo Potomkin, 2019, Journal of Statistical Physics on p. 808-829
Existence of superconducting solutions for a reduced Ginzburg-Landau model in the presence of strong electric currents
Yaniv Almog, Leonid Berlyand, Dmitry Golovaty, Itai Shafrir, 2019, SIAM Journal on Mathematical Analysis on p. 873-912
Convergence de classifieurs par réseaux de neurones formellement divergents
Leonid Berlyand, Pierre Emmanuel Jabin, 2018, Comptes Rendus Mathematique on p. 395-405
On approximation of Ginzburg–Landau minimizers by S<sup>1</sup>-valued maps in domains with vanishingly small holes
Leonid Berlyand, Dmitry Golovaty, Oleksandr Iaroshenko, Volodymyr Rybalko, 2018, Journal of Differential Equations on p. 1317-1347
Multiple Ginzburg-Landau vortices pinned by randomly distributed small holes
Leonid Berlyand, Vladimir Mityushev, Shawn D. Ryan, 2018, IMA Journal of Applied Mathematics on p. 977-1006
Bifurcation of traveling waves in a Keller-Segel type free boundary model of cell motility
Leonid Berlyand, Jan Fuhrmann, Volodymyr Rybalko, 2018, Communications in Mathematical Sciences on p. 735-762
A two scale Γ -convergence approach for random non-convex homogenization
Leonid Berlyand, Etienne Sandier, Sylvia Serfaty, 2017, Calculus of Variations and Partial Differential Equations
Most-Cited Papers
Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization
Houman Owhadi, Lei Zhang, Leonid Berlyand, 2014, Mathematical Modelling and Numerical Analysis on p. 517-552
Correlation properties of collective motion in bacterial suspensions
Shawn D. Ryan, Andrey Sokolov, Leonid Berlyand, Igor S. Aranson, 2013, New Journal of Physics
Flexibility of bacterial flagella in external shear results in complex swimming trajectories.
M. Tournus, A. Kirshtein, L. V. Berlyand, I. S. Aranson, 2015, Journal of the Royal Society Interface on p. 20140904
A kinetic model for semidilute bacterial suspensions
S. D. Ryan, L. Berlyand, Brian M. Haines, D. A. Karpeev, 2013, Multiscale Modeling and Simulation on p. 1176-1196
Collision of microswimmers in a viscous fluid
M. Potomkin, V. Gyrya, I. Aranson, L. Berlyand, 2013, Physical Review E
Rayleigh approximation to ground state of the Bose and Coulomb glasses
S. D. Ryan, V. Mityushev, V. M. Vinokur, L. Berlyand, 2015, Scientific Reports
Minimax Critical Points in Ginzburg-Landau Problems with Semi-Stiff Boundary Conditions
Leonid Berlyand, Petru Mironescu, Volodymyr Rybalko, Etienne Sandier, 2014, Communications in Partial Differential Equations on p. 946-1005
Effective viscosity of puller-like microswimmers
Simon Gluzman, Dmitry A. Karpeev, Leonid V. Berlyand, 2013, Journal of the Royal Society Interface
Vortex phase separation in mesoscopic superconductors
O. Iaroshenko, V. Rybalko, V. M. Vinokur, L. Berlyand, 2013, Scientific Reports
On an evolution equation in a cell motility model
Matthew S. Mizuhara, Leonid Berlyand, Volodymyr Rybalko, Lei Zhang, 2016, Physica D: Nonlinear Phenomena on p. 12-25