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Applicable Analysis
An International Journal
Volume 95, 2016 - Issue 10: Mathematical & Numerical Analysis of Flow and Transport in Porous Media
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Original Articles

Nematodynamics and random homogenization

Gregory A. ChechkinDepartment of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow119991, Russia.Correspondence[email protected]
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,
Tatiana P. ChechkinaHigher Mathematics, National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Moscow115409, Russia.View further author information
,
Tudor S. RatiuÉcole polytechnique fédérale de Lausanne, CH-1015, Lausanne, Switzerland.View further author information
&
Maksim S. RomanovDepartment of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow119991, Russia.View further author information
Pages 2243-2253 | Received 16 Dec 2014, Accepted 28 Mar 2015, Published online: 27 Apr 2015

Citations (12)

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Kuanysh A. Bekmaganbetov, Gregory A. Chechkin & Vladimir V. Chepyzhov. (2019) Weak convergence of attractors of reaction–diffusion systems with randomly oscillating coefficients. Applicable Analysis 98:1-2, pages 256-271.
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Articles from other publishers (11)

A. M. Toleubay. (2024) Asymptotic Behavior of Attractors of the Two-Dimensional Navier–Stokes System in a Domain with Small Periodic Obstacles. Journal of Mathematical Sciences 279:4, pages 550-562.
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K. A. Bekmaganbetov, A. M. Toleubay & G. A. Chechkin. (2023) On Asymptotics of Attractors of the Navier–Stokes System in Anisotropic Medium with Small Periodic Obstacles. Doklady Mathematics 108:1, pages 277-281.
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К. А. Bekmaganbetov, А. М. Toleubay & G. А. Chechkin. (2023) ON ASYMPTOTICS OF ATTRACTORS TO NAVIER-STOCKES SYSTEM IN ANISOTROPIC MEDIUM WITH SMALL PERIODIC OBSTACLES. Доклады Российской академии наук. Математика, информатика, процессы управления 512:1, pages 42-46.
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A. M. Kisatov. (2022) On the Stefan Problem for a System of Magnetohydrodynamic Boundary Layer Equations with Injection of a Medium Governed by the Ladyzhenskaya Rheological Law. Doklady Mathematics 105:2, pages 102-105.
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R. R. Bulatova. (2022) On the Behavior of Solutions of the Prandtl System for a Ladyzhenskaya Viscous MHD Medium in the Flow through a Confuser. Doklady Mathematics 105:2, pages 78-83.
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Giacomo Canevari & Arghir Zarnescu. (2019) Design of effective bulk potentials for nematic liquid crystals via colloidal homogenisation. Mathematical Models and Methods in Applied Sciences 30:02, pages 309-342.
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Gregory A. Chechkin, Tudor S. Ratiu, Maxim S. Romanov & Vyacheslav N. Samokhin. (2017) Existence and uniqueness theorems for the full three-dimensional Ericksen–Leslie system. Mathematical Models and Methods in Applied Sciences 27:05, pages 807-843.
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Kuanysh A. Bekmaganbetov, Gregory A. Chechkin, Vladimir V. Chepyzhov & Andrey Yu. Goritsky. (2017) Homogenization of trajectory attractors of 3D Navier--Stokes system with randomly oscillating force. Discrete and Continuous Dynamical Systems 37:5, pages 2375-2393.
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Kuanysh A. Bekmaganbetov, Gregory A. Chechkin & Vladimir V. Chepyzhov. (2016) Homogenization of random attractors for reaction–diffusion systems. Comptes Rendus. Mécanique 344:11-12, pages 753-758.
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Gregory A. Chechkin, Tudor S. Ratiu, Maxim S. Romanov & Vyacheslav N. Samokhin. (2016) Existence and Uniqueness Theorems for the Two-Dimensional Ericksen–Leslie System. Journal of Mathematical Fluid Mechanics 18:3, pages 571-589.
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Gregory A. Chechkin, Tudor S. Ratiu, Maxim S. Romanov & Vyacheslav N. Samokhin. (2016) On unique solvability of the full three-dimensional Ericksen–Leslie system. Comptes Rendus. Mécanique 344:7, pages 459-463.
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