Leonid Berlyand - Publications

Affiliations: 
Pennsylvania State University, State College, PA, United States 
Area:
Mathematics, Applied Mathematics

59 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Berlyand L, Jabin P, Potomkin M, Ratajczyk E. A Kinetic Approach to Active Rods Dynamics in Confined Domains Multiscale Modeling & Simulation. 18: 1-20. DOI: 10.1137/19M1263510  0.315
2018 Potomkin M, Tournus M, Berlyand LV, Aranson IS. Flagella bending affects macroscopic properties of bacterial suspensions. Journal of the Royal Society, Interface. 14. PMID 28566507 DOI: 10.1098/Rsif.2016.1031  0.375
2018 Berlyand L, Mityushev V, Ryan SD. Multiple Ginzburg–Landau vortices pinned by randomly distributed small holes Ima Journal of Applied Mathematics. 83: 977-1006. DOI: 10.1093/Imamat/Hxy033  0.535
2017 Berlyand L, Potomkin M, Rybalko V. Sharp interface limit in a phase field model of cell motility Networks and Heterogeneous Media. 12: 551-590. DOI: 10.3934/Nhm.2017023  0.367
2017 Potomkin M, Kaiser A, Berlyand L, Aranson I. Focusing of active particles in a converging flow New Journal of Physics. 19: 115005. DOI: 10.1088/1367-2630/Aa94Fd  0.34
2016 Potomkin M, Ryan SD, Berlyand L. Effective Rheological Properties in Semi-dilute Bacterial Suspensions. Bulletin of Mathematical Biology. PMID 27025378 DOI: 10.1007/S11538-016-0156-2  0.639
2016 Berlyand L, Jabin P, Potomkin M. Complexity Reduction in Many Particle Systems with Random Initial Data Siam/Asa Journal On Uncertainty Quantification. 4: 446-474. DOI: 10.1137/140969786  0.35
2016 Mizuhara MS, Berlyand L, Rybalko V, Zhang L. On an evolution equation in a cell motility model Physica D: Nonlinear Phenomena. 318: 12-25. DOI: 10.1016/J.Physd.2015.10.008  0.351
2016 Berlyand L, Potomkin M, Rybalko V. Phase-field model of cell motility: Traveling waves and sharp interface limit Comptes Rendus Mathematique. 354: 986-992. DOI: 10.1016/J.Crma.2016.09.001  0.325
2015 Ryan SD, Mityushev V, Vinokur VM, Berlyand L. Rayleigh approximation to ground state of the Bose and Coulomb glasses. Scientific Reports. 5: 7821. PMID 25592417 DOI: 10.1038/Srep07821  0.599
2014 Berlyand L, Mironescu P, Rybalko V, Sandier E. Minimax Critical Points in Ginzburg-Landau Problems with Semi-Stiff Boundary Conditions: Existence and Bubbling Communications in Partial Differential Equations. 39: 946-1005. DOI: 10.1080/03605302.2013.851214  0.375
2014 Owhadi H, Zhang L, Berlyand L. Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization Esaim: Mathematical Modelling and Numerical Analysis. 48: 517-552. DOI: 10.1051/M2An/2013118  0.349
2013 Ryan SD, Sokolov A, Berlyand L, Aranson IS. Correlation properties of collective motion in bacterial suspensions. New Journal of Physics. 15. PMID 24391445 DOI: 10.1088/1367-2630/15/10/105021  0.596
2013 Potomkin M, Gyrya V, Aranson I, Berlyand L. Collision of microswimmers in a viscous fluid. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 87: 053005. PMID 23767618 DOI: 10.1103/Physreve.87.053005  0.733
2013 Berlyand L, Rybalko V. Homogenized description of multiple Ginzburg-Landau vortices pinned by small holes Networks and Heterogeneous Media. 8: 115-130. DOI: 10.3934/Nhm.2013.8.115  0.337
2013 Ryan SD, Berlyand L, Haines BM, Karpeev DA. A kinetic model for semidilute bacterial suspensions Multiscale Modeling and Simulation. 11: 1176-1196. DOI: 10.1137/120900575  0.637
2013 Iaroshenko O, Rybalko V, Vinokur VM, Berlyand L. Vortex phase separation in mesoscopic superconductors Scientific Reports. 3. DOI: 10.1038/Srep01758  0.346
2013 Almog Y, Berlyand L, Golovaty D, Shafrir I. On the limit p → ∞ of global minimizers for a p-Ginzburg-Landau-type energy Annales De L'Institut Henri Poincare (C) Non Linear Analysis. 30: 1159-1174. DOI: 10.1016/J.Anihpc.2012.12.013  0.308
2012 Berlyand L, Rybalko V, Yip NK. Renormalized ginzburg-landau energy and location of near boundary vortices Networks and Heterogeneous Media. 7: 179-196. DOI: 10.3934/Nhm.2012.7.179  0.392
2012 Haines BM, Aranson IS, Berlyand L, Karpeev DA. Effective viscosity of bacterial suspensions: A three-dimensional pde model with stochastic torque Communications On Pure and Applied Analysis. 11: 19-48. DOI: 10.3934/Cpaa.2012.11.19  0.403
2011 Ryan SD, Haines BM, Berlyand L, Ziebert F, Aranson IS. Viscosity of bacterial suspensions: hydrodynamic interactions and self-induced noise. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 83: 050904. PMID 21728480 DOI: 10.1103/Physreve.83.050904  0.629
2011 Gyrya V, Lipnikov K, Aranson IS, Berlyand L. Effective shear viscosity and dynamics of suspensions of micro-swimmers from small to moderate concentrations. Journal of Mathematical Biology. 62: 707-40. PMID 20563812 DOI: 10.1007/S00285-010-0351-Y  0.745
2011 Berlyand L, Misiats O, Rybalko V. Minimizers of the magnetic Ginzburg-Landau functional in simply connected domain with prescribed degree on the boundary Communications in Contemporary Mathematics. 13: 53-66. DOI: 10.1142/S0219199711004130  0.733
2011 Almog Y, Berlyand L, Golovaty D, Shafrir I. Radially symmetric minimizers for a p-Ginzburg Landau type energy in ℝ2 Calculus of Variations and Partial Differential Equations. 42: 517-546. DOI: 10.1007/S00526-011-0396-9  0.322
2010 Gyrya V, Aranson IS, Berlyand LV, Karpeev D. A model of hydrodynamic interaction between swimming bacteria. Bulletin of Mathematical Biology. 72: 148-83. PMID 19644725 DOI: 10.1007/S11538-009-9442-6  0.724
2010 Berlyand L, Rybalko V. Solutions with vortices of a semi-stiff boundary value problem for the Ginzburg-Landau equation Journal of the European Mathematical Society. 12: 1497-1531. DOI: 10.4171/Jems/239  0.401
2010 Zhang L, Berlyand L, Fedorov MV, Owhadi H. Global energy matching method for atomistic-to-continuum modeling of self-assembling biopolymer aggregates Multiscale Modeling and Simulation. 8: 1958-1980. DOI: 10.1137/090781619  0.336
2010 Berlyand L, Misiats O, Rybalko V. Near boundary vortices in a magnetic Ginzburg-Landau model: Their locations via tight energy bounds Journal of Functional Analysis. 258: 1728-1762. DOI: 10.1016/J.Jfa.2009.08.017  0.737
2010 Berlyand L, Owhadi H. Flux Norm Approach to Finite Dimensional Homogenization Approximations with Non-Separated Scales and High Contrast Archive For Rational Mechanics and Analysis. 198: 677-721. DOI: 10.1007/S00205-010-0302-1  0.362
2009 Haines BM, Sokolov A, Aranson IS, Berlyand L, Karpeev DA. Three-dimensional model for the effective viscosity of bacterial suspensions. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 80: 041922. PMID 19905357 DOI: 10.1103/Physreve.80.041922  0.377
2009 Berlyand L, Gorb Y, Novikov A. Fictitious fluid approach and anomalous blow-up of the dissipation rate in a two-dimensional model of concentrated suspensions Archive For Rational Mechanics and Analysis. 193: 585-622. DOI: 10.1007/S00205-008-0152-2  0.378
2008 Haines BM, Aronson IS, Berlyand L, Karpeev DA. Effective viscosity of dilute bacterial suspensions: a two-dimensional model. Physical Biology. 5: 046003. PMID 19029599 DOI: 10.1088/1478-3975/5/4/046003  0.4
2008 Berezhnyi M, Berlyand L, Khruslov E. The homogenized model of small oscillations of complex fluids Networks and Heterogeneous Media. 3: 831-862. DOI: 10.3934/Nhm.2008.3.831  0.366
2008 Berlyand L, Mironescu P. Two-parameter homogenization for a Ginzburg-Landau problem in a perforated domain Networks and Heterogeneous Media. 3: 461-487. DOI: 10.3934/Nhm.2008.3.461  0.367
2008 Ariyawansa KA, Berlyand L, Panchenko A. A Network Model Of Geometrically Constrained Deformations Of Granular Materials Networks and Heterogeneous Media. 3: 125-148. DOI: 10.3934/Nhm.2008.3.125  0.362
2008 Berlyand L, Bruno O, Novikov A. Rise op correlations of transformation strains in RANDOM polycrystals Siam Journal On Mathematical Analysis. 40: 1550-1584. DOI: 10.1137/070679685  0.305
2007 Berlyand L, Panchenko A. Strong and weak blow-up of the viscous dissipation rates for concentrated suspensions Journal of Fluid Mechanics. 578: 1-34. DOI: 10.1017/S0022112007004922  0.384
2006 Berezhnyy M, Berlyand L. Continuum limit for three-dimensional mass-spring networks and discrete Korn's inequality Journal of the Mechanics and Physics of Solids. 54: 635-669. DOI: 10.1016/J.Jmps.2005.09.006  0.373
2006 Berlyand L, Mironescu P. Ginzburg-Landau minimizers with prescribed degrees. Capacity of the domain and emergence of vortices Journal of Functional Analysis. 239: 76-99. DOI: 10.1016/J.Jfa.2006.03.006  0.375
2006 Berlyand L, Golovaty D, Rybalko V. Nonexistence of Ginzburg-Landau minimizers with prescribed degree on the boundary of a doubly connected domain Comptes Rendus Mathematique. 343: 63-68. DOI: 10.1016/J.Crma.2006.05.013  0.32
2005 Berlyand L, Borcea L, Panchenko A. Network approximation for effective viscosity of concentrated suspensions with complex geometry Siam Journal On Mathematical Analysis. 36: 1580-1628. DOI: 10.1137/S0036141003424708  0.404
2005 Gorb Y, Berlyand L. Asymptotics of the effective conductivity of composites with closely spaced inclusions of optimal shape Quarterly Journal of Mechanics and Applied Mathematics. 58: 83-106. DOI: 10.1093/Qjmamj/Hbh022  0.325
2005 Berlyand L, Khruslov E. Ginzburg-Landau model of a liquid crystal with random inclusions Journal of Mathematical Physics. 46. DOI: 10.1063/1.2013127  0.352
2005 Berlyand L, Cioranescu D, Golovaty D. Homogenization of a Ginzburg-Landau model for a nematic liquid crystal with inclusions Journal Des Mathematiques Pures Et Appliquees. 84: 97-136. DOI: 10.1016/J.Matpur.2004.09.013  0.366
2005 Berlyand L, Cioranescu D, Golovaty D. Homogenization of a Ginzburg-Landau functional Comptes Rendus Mathematique. 340: 87-92. DOI: 10.1016/J.Crma.2004.10.024  0.349
2005 Berlyand L, Mityushev V. Increase and Decrease of the Effective Conductivity of Two Phase Composites due to Polydispersity Journal of Statistical Physics. 118: 481-509. DOI: 10.1007/S10955-004-8818-0  0.304
2004 Berlyand L, Khruslov E. Homogenized non-Newtonian viscoelastic rheology of a suspension of interacting particles in a viscous Newtonian fluid Siam Journal On Applied Mathematics. 64: 1002-1034. DOI: 10.1137/S0036139902403913  0.364
2004 Berlyand L, Golovaty D, Movchan A, Phillips J. Transport properties of densely packed composites. Effect of shapes and spacings of inclusions Quarterly Journal of Mechanics and Applied Mathematics. 57: 495-528. DOI: 10.1093/Qjmam/57.4.495  0.347
2003 Berlyand L, Mironescu P. Ginzburg-Landau minimizers with prescribed degrees: Dependence on domain Comptes Rendus Mathematique. 337: 375-380. DOI: 10.1016/S1631-073X(03)00331-5  0.358
2002 Golovaty D, Berlyand L. On uniqueness of vector-valued minimizers of the ginzburg-landau functional in annular domains Calculus of Variations and Partial Differential Equations. 14: 213-232. DOI: 10.1007/S005260100102  0.383
2001 Berlyand L, Kolpakov A. Network approximation in the limit of small interparticle distance of the effective properties of a high-contrast random dispersed composite Archive For Rational Mechanics and Analysis. 159: 179-227. DOI: 10.1007/S002050100142  0.355
1999 Berlyand L, Khruslov E. Homogenization of harmonic maps and superconducting composites Siam Journal On Applied Mathematics. 59: 1892-1916. DOI: 10.1137/S0036139997328520  0.354
1998 Berlyand L. Effective properties of superconducting and superfluid composites International Journal of Modern Physics B. 12: 3063-3073. DOI: 10.1142/S0217979298002064  0.315
1998 Berlyand L, Rintoul MD, Torquato S. Journal of Statistical Physics. 91: 603-623. DOI: 10.1023/A:1023077627335  0.309
1997 Berlyand L, Wehr J. Non-Gaussian limiting behavior of the percolation threshold in a large system Communications in Mathematical Physics. 185: 73-92. DOI: 10.1007/S002200050082  0.345
1995 Berlyand L, Xin J. Large time asymptotics of solutions to a model combustion system with critical nonlinearity Nonlinearity. 8: 161-178. DOI: 10.1088/0951-7715/8/2/003  0.318
1995 Berlyand L, Wehr J. The probability distribution of the percolation threshold in a large system Journal of Physics a: Mathematical and General. 28: 7127-7133. DOI: 10.1088/0305-4470/28/24/013  0.308
1995 Berlyand L, Burridge R. The accuracy of the O'Doherty-Anstey approximation for wave propagation in highly disordered stratified media Wave Motion. 21: 357-373. DOI: 10.1016/0165-2125(95)00008-7  0.301
1995 Berlyand L, Promislow K. Effective elastic moduli of a soft medium with hard polygonal inclusions and extremal behavior of effective Poisson's ratio Journal of Elasticity. 40: 45-73. DOI: 10.1007/Bf00042083  0.327
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