Leonid Berlyand

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

Leonid Berlyand

Publication Tags

Bacteria Viscosity Hydrodynamics Swimming Model Cell Boundary Conditions Suspensions Homogenization Cell Motility Trajectories Hydrodynamic Interaction Propulsion Energy Shear Flow Approximation Phase Field Model Flagella Shear Viscosity Interactions Interaction Norm Coefficient Geometry Divergence

Most Recent Papers

Continuum Approximations to Systems of Correlated Interacting Particles

Leonid V. Berlyand, Robert Creese, Pierre Emmanuel Jabin, Mykhailo Potomkin, 2019, Journal of Statistical Physics on p. 808-829

On approximation of Ginzburg–Landau minimizers by S<sup>1</sup>-valued maps in domains with vanishingly small holes

Leonid V. Berlyand, Dmitry Golovaty, Oleksandr Iaroshenko, Volodymyr Rybalko, 2018, Journal of Differential Equations on p. 1317-1347

Convergence de classifieurs par réseaux de neurones formellement divergents

Leonid V. Berlyand, Pierre Emmanuel Jabin, 2018, Comptes Rendus Mathematique

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 V. 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 V. 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 V. Berlyand, Igor Aronson, 2017, Physical Review E

Focusing of active particles in a converging flow

Mykhailo Potomkin, Andreas Kaiser, Leonid V. Berlyand, Igor Aronson, 2017, New Journal of Physics

Flagella bending affects macroscopic properties of bacterial suspensions

Mykhailo Potomkin, M. Tournus, Leonid V. Berlyand, Igor Aronson, 2017, Journal of the Royal Society Interface

Modèle de champ de phase pour la migration cellulaire

Leonid V. Berlyand, Mykhailo Potomkin, Volodymyr Rybalko, 2016, Comptes Rendus Mathematique on p. 986-992

High-Impact Papers

Three-dimensional model for the effective viscosity of bacterial suspensions

Brian M. Haines, Andrey Sokolov, Igor Aronson, Leonid V. Berlyand, Dmitry A. Karpeev, 2009, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Viscosity of bacterial suspensions

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

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

Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization

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

A model of hydrodynamic interaction between swimming bacteria

Vitaliy Gyrya, Igor S. Aranson, Leonid V. Berlyand, Dmitry Karpeev, 2010, Bulletin of Mathematical Biology on p. 148-183

Correlation properties of collective motion in bacterial suspensions

Shawn D. Ryan, Andrey Sokolov, Leonid V. Berlyand, Igor Aronson, 2013, New Journal of Physics

Effective shear viscosity and dynamics of suspensions of micro-swimmers from small to moderate concentrations

V. Gyrya, K. Lipnikov, I. S. Aranson, L. Berlyand, 2011, Journal of Mathematical Biology on p. 707-740

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

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

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

Collision of microswimmers in a viscous fluid

Mykhailo Potomkin, V. Gyrya, Igor Aronson, Leonid V. Berlyand, 2013, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics