Leonid Berlyand

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

Leonid Berlyand

Huck Institutes Affiliations

Publication Tags

Bacteria Viscosity Hydrodynamics Suspensions Model Swimming Cell Homogenization Cell Motility Boundary Conditions Trajectories Kinetics Hydrodynamic Interaction Propulsion Energy Shear Flow Phase Field Model Shear Viscosity Approximation Cells Bacterium Locomotion Flagella Interaction Term

Most Recent Papers

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

Convergence de classifieurs par réseaux de neurones formellement divergents

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

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

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

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

Modèle de champ de phase pour la migration cellulaire

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

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

Effective rheological properties in semi-dilute bacterial suspensions

Mykhailo Potomkin, Shawn D. Ryan, Leonid Berlyand, 2016, Bulletin of Mathematical Biology on p. 580-615

High-Impact Papers

Three-dimensional model for the effective viscosity of bacterial suspensions

Brian M. Haines, Andrey Sokolov, Igor S. Aranson, Leonid 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 Berlyand, Falko Ziebert, Igor S. Aranson, 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 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 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 Berlyand, Igor S. Aranson, 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

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

Fictitious fluid approach and anomalous blow-up of the dissipation rate in a two-dimensional model of concentrated suspensions

Leonid Berlyand, Yuliya Gorb, Alexei Novikov, 2009, Archive for Rational Mechanics and Analysis on p. 585-622