Leonid Berlyand

发表

Network Approximation for Effective Viscosity of Concentrated Suspensions with Complex Geometry

Alexander Panchenko, Liliana Borcea, Leonid Berlyand, 2005, SIAM J. Math. Anal..

Homogenization of Harmonic Maps and Superconducting Composites

Leonid Berlyand, Evgen Khruslov, L. Berlyand, 1999, SIAM J. Appl. Math..

A Kinetic Model for Semidilute Bacterial Suspensions

Leonid Berlyand, Shawn D. Ryan, B. M. Haines, 2013, Multiscale Model. Simul..

Homogenized description of multiple Ginzburg-Landau vortices pinned by small holes

Leonid Berlyand, Volodymyr Rybalko, L. Berlyand, 2013, Networks Heterog. Media.

The homogenized model of small oscillations of complex fluids

Leonid Berlyand, Evgen Khruslov, Maksym Berezhnyi, 2008, Networks Heterog. Media.

Global Energy Matching Method for Atomistic-to-Continuum Modeling of Self-Assembling Biopolymer Aggregates

Houman Owhadi, Leonid Berlyand, Maxim V. Fedorov, 2010, Multiscale Model. Simul..

Numerical homogenization on approach for stokesian suspensions.

Leonid Berlyand, D. A. Karpeev, Brian M. Haines, 2012 .

Homogenized Non-Newtonian Viscoelastic Rheology of a Suspension of Interacting Particles in a Viscous Newtonian Fluid

Leonid Berlyand, Evgen Khruslov, L. Berlyand, 2004, SIAM J. Appl. Math..

A network model of geometrically constrained deformations of granular materials

Alexander Panchenko, Leonid Berlyand, K. A. Ariyawansa, 2008, Networks Heterog. Media.

Renormalized Ginzburg-Landau energy and location of near boundary vortices

Leonid Berlyand, Volodymyr Rybalko, Nung Kwan Yip, 2012, Networks Heterog. Media.

Γ-Convergence in Nonlinear Homogenization Problems

Leonid Berlyand, Volodymyr Rybalko, L. Berlyand, 2018 .

Sharp interface limit in a phase field model of cell motility

Leonid Berlyand, Volodymyr Rybalko, Mykhailo Potomkin, 2013, Networks Heterog. Media.

Rise of Correlations of Transformation Strains in Random Polycrystals

Alexei Novikov, Leonid Berlyand, Oscar Bruno, 2008, SIAM J. Math. Anal..

Two-parameter homogenization for a Ginzburg-Landau problem in a perforated domain

Leonid Berlyand, Petru Mironescu, 2008, Networks Heterog. Media.

Two-Scale Convergence

Leonid Berlyand, Volodymyr Rybalko, 2018 .

Introduction to the Network Approximation Method for Materials Modeling: Application of the method of complex variables

Alexei Novikov, Leonid Berlyand, Alexander G. Kolpakov, 2012 .

Frequency-Dependent Acoustics of Composites with Interfaces

Leonid Berlyand, Marco Avellaneda, J. F. Clouet, 2000, SIAM J. Appl. Math..

Error of the Network Approximation for Densely Packed Composites with Irregular Geometry

Alexei Novikov, Leonid Berlyand, L. Berlyand, 2002, SIAM J. Math. Anal..

Introduction to the Network Approximation Method for Materials Modeling: References

Alexei Novikov, Leonid Berlyand, Alexander G. Kolpakov, 2012 .

Asymptotic analysis of an array of closely spaced absolutely conductive inclusions

Leonid Berlyand, Yuliya Gorb, Giuseppe Cardone, 2006, Networks Heterog. Media.

Existence of Superconducting Solutions for a Reduced Ginzburg-Landau Model in the Presence of Strong Electric Currents

Leonid Berlyand, Dmitry Golovaty, Yaniv Almog, 2016, SIAM J. Math. Anal..

Complexity Reduction in Many Particle Systems with Random Initial Data

Leonid Berlyand, Pierre-Emmanuel Jabin, Mykhailo Potomkin, 2013, SIAM/ASA J. Uncertain. Quantification.

Stability for the Training of Deep Neural Networks and Other Classifiers pdf

Leonid Berlyand, Pierre-Emmanuel Jabin, C. Alex Safsten, 2021, Mathematical Models and Methods in Applied Sciences.

Emergence of traveling waves and their stability in a free boundary model of cell motility

Leonid Berlyand, Volodymyr Rybalko, L. Berlyand, 2021, 2104.00491.

A novel multi-scale loss function for classification problems in machine learning pdf

Leonid Berlyand, Pierre-Emmanuel Jabin, Robert Creese, 2021, ArXiv.

Asymptotic stability of contraction-driven cell motion.

Leonid Berlyand, Volodymyr Rybalko, C. Alex Safsten, 2021, Physical review. E.

Strong and weak blow-up of the viscous dissipation rates for concentrated suspensions

Leonid Berlyand, L. Berlyand, A. Panchenko, 2007, Journal of Fluid Mechanics.

Symmetry Breaking in Annular Domains for a Ginzburg-Landau Superconductivity Model

Leonid Berlyand, Karl Voss, 2001 .

Effective shear viscosity and dynamics of suspensions of micro-swimmers at moderate concentrations

Leonid Berlyand, Lipnikov Constantin, Gyrya, 2009 .

Discrete network approximation for highly-packed composites with irregular geometry in three dimensions

Alexei Novikov, Leonid Berlyand, Yuliya Gorb, 2005 .

Effective viscosity of bacterial suspensions: a three-dimensional PDE model with stochastic torque.

Leonid Berlyand, Brian M. Haines, Igor S. Aranson, 2011 .

Effective viscosity of dilute bacterial suspensions: a two-dimensional model

Leonid Berlyand, I. Aranson, L. Berlyand, 2008, Physical biology.

Homogenization of the Ginzburg-Landau functional with a surface energy term

Leonid Berlyand, L. Berlyand, 1999 .

Introduction to the Network Approximation Method for Materials Modeling

Alexei Novikov, Leonid Berlyand, Alexander G. Kolpakov, 2013 .

Competition between the surface and the boundary layer energies in a Ginzburg–Landau model of a liquid crystal composite

Leonid Berlyand, L. Berlyand, Evgen Khruslov, 2002 .

Asymptotics of the effective conductivity of composites with closely spaced inclusions of optimal shape

Leonid Berlyand, Yuliya Gorb, L. Berlyand, 2005 .

The probability distribution of the percolation threshold in a large system

Leonid Berlyand, J. Wehr, L. Berlyand, 1995 .

Random network model for heat transfer in high contrast composite materials

Leonid Berlyand, D. Gerenrot, Jonathan Phillips, 2003 .

Ginzburg-Landau minimizers with prescribed degrees. Capacity of the domain and emergence of vortices

Leonid Berlyand, Petru Mironescu, L. Berlyand, 2006 .

Fictitious Fluid Approach and Anomalous Blow-up of the Dissipation Rate in a Two-Dimensional Model of Concentrated Suspensions

Alexei Novikov, Leonid Berlyand, Yuliya Gorb, 2009 .

Three-dimensional model for the effective viscosity of bacterial suspensions.

Leonid Berlyand, Andrey Sokolov, I. Aranson, 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

Continuum limit for three-dimensional mass-spring networks and discrete Korn's inequality

Leonid Berlyand, L. Berlyand, M. Berezhnyy, 2006 .

Finite dimensional approximation of solutions of divergence form equations with rough and high contrast coefficients

Houman Owhadi, Leonid Berlyand, H. Owhadi, 2009 .

Network Approximation in the Limit of¶Small Interparticle Distance of the¶Effective Properties of a High-Contrast¶Random Dispersed Composite

Leonid Berlyand, Alexander G. Kolpakov, L. Berlyand, 2001 .

Non-Gaussian Limiting Behavior of the Percolation Threshold in a Large System

Leonid Berlyand, Jan Wehr, 1997 .