Leonid Berlyand
Co-Director of the Center for Mathematics of Living and Mimetic Matter; Professor of Mathematics
-
337 McAllister
University Park, PA - lvb2@psu.edu
- 814-863-9683
Huck Affiliations
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Bacteria Viscosity Boundary Conditions Kinetics Approximation Suspensions Interactions Model Energy Shear Flow Motion Cell Minimizer Cell Motility Cells Trajectories Classifier Ginzburg Landau Suspension Liquid Crystals Contraction Swimming Estimate Existence Of Solutions PhysicsMost Recent Publications
Interaction of microswimmers in viscoelastic liquid crystals
Hai Chi, Alexander Gavrikov, Leonid Berlyand, Igor S. Aranson, 2022, Communications Physics
Asymptotic stability of contraction-driven cell motion
C. Alex Safsten, Volodmyr Rybalko, Leonid Berlyand, 2022, Physical Review E
Emergence of traveling waves and their stability in a free boundary model of cell motility
Volodymyr Rybalko, Leonid Berlyand, 2022, Transactions of American Mathematical Society on p. 46
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 on p. 9
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
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
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
Rayleigh approximation to ground state of the Bose and Coulomb glasses
S. D. Ryan, V. Mityushev, V. M. Vinokur, L. Berlyand, 2015, Scientific Reports
Effective viscosity of puller-like microswimmers: A renormalization approach
Simon Gluzman, Dmitry A. Karpeev, Leonid V. Berlyand, 2013, Journal of the Royal Society Interface
Collision of microswimmers in a viscous fluid
M. Potomkin, V. Gyrya, I. Aranson, L. Berlyand, 2013, Physical Review E
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
Minimax Critical Points in Ginzburg-Landau Problems with Semi-Stiff Boundary Conditions: Existence and Bubbling
Leonid Berlyand, Petru Mironescu, Volodymyr Rybalko, Etienne Sandier, 2014, Communications in Partial Differential Equations on p. 946-1005