Leonid Berlyand

Co-Director of the Center for Mathematics of Living and Mimetic Matter; Professor of Mathematics

Leonid Berlyand

Publication Tags

Viscosity Boundary Conditions Bacteria Suspensions Approximation Kinetics Energy Homogenization Cell Motility Cell Ginzburg Landau Vortex Flow Minimizer Equations Of Motion Coefficient Norm Interactions Model Estimate Physics Shear Flow Divergence Vortex Rough Substrate

Most Recent Papers

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 V. 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 V. 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

Sharp interface limit in a phase field model of cell motility

Leonid Berlyand, Mykhailo Potomkin, Volodymyr Rybalko, 2017, Networks and Heterogeneous Media on p. 551-590

Minimal model of directed cell motility on patterned substrates

Matthew S. Mizuhara, Leonid Berlyand, Igor S. Aranson, 2017, Physical Review E

Focusing of active particles in a converging flow

Mykhailo Potomkin, Andreas Kaiser, Leonid Berlyand, Igor Aranson, 2017, New Journal of Physics

Flagella bending affects macroscopic properties of bacterial suspensions

M. Potomkin, M. Tournus, L. V. Berlyand, I. S. Aranson, 2017, Journal of the Royal Society Interface

Most-Cited Papers

Viscosity of bacterial suspensions

Shawn D. Ryan, Brian M. Haines, Leonid Berlyand, Falko Ziebert, Igor S. Aranson, 2011, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization

Houman Owhadi, Lei Zhang, Leonid Berlyand, 2014, ESAIM: Mathematical Modelling and Numerical Analysis on p. 517-552

Flux Norm Approach to Finite Dimensional Homogenization Approximations with Non-Separated Scales and High Contrast

Leonid V. Berlyand, Houman Owhadi, 2010, Archive for Rational Mechanics and Analysis on p. 677-721

Correlation properties of collective motion in bacterial suspensions

Shawn D. Ryan, Andrey Sokolov, Leonid Berlyand, Igor S. Aranson, 2013, New Journal of Physics

Solutions with vortices of a semi-stiff boundary value problem for the Ginzburg-Landau equation

L. Berlyand, V. Rybalko, 2010, Journal of the European Mathematical Society on p. 1497-1531

A kinetic model for semidilute bacterial suspensions

S. D. Ryan, Leonid V. 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 - Statistical, Nonlinear, and Soft Matter Physics

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, Leonid V. Berlyand, 2013, 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