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Applicable Analysis
An International Journal
Volume 98, 2019 - Issue 1-2: Homogenization and Qualitative Theory of Differential Equations dedicated to the memory of Vassily Vassilievich Zhikov
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Articles

Classification of homogenized limits of diffusion problems with spatially dependent reaction over critical-size particles

J. I. DíazDpto. de Matemática Aplicada & Instituto de Matemática Interdisciplinar, Madrid, Spain.Correspondence[email protected]
ORCID Iconhttp://orcid.org/0000-0003-1730-9509View further author information
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D. Gómez-CastroDpto. de Matemática Aplicada & Instituto de Matemática Interdisciplinar, Madrid, Spain.ORCID Iconhttp://orcid.org/0000-0001-8360-3250View further author information
ORCID Icon,
T. A. ShaposhnikovaFaculty of Mechanics and Mathematics, Moscow State University, Moscow, Russia.View further author information
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M. N. ZubovaFaculty of Mechanics and Mathematics, Moscow State University, Moscow, Russia.View further author information
Pages 232-255 | Received 28 Dec 2017, Accepted 13 Feb 2018, Published online: 05 Mar 2018

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Kuanysh A. Bekmaganbetov, Gregory A. Chechkin & Abylaikhan A. Tolemis. (2024) Attractors of Ginzburg–Landau equations with oscillating terms in porous media: homogenization procedure. Applicable Analysis 103:1, pages 29-44.
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Articles from other publishers (9)

Kuanysh A. Bekmaganbetov, Gregory A. Chechkin & Vladimir V. Chepyzhov. (2023) Application of Fatou’s Lemma for Strong Homogenization of Attractors to Reaction–Diffusion Systems with Rapidly Oscillating Coefficients in Orthotropic Media with Periodic Obstacles. Mathematics 11:6, pages 1448.
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G. V. Sandrakov, S. I. Lyashko & V. V. Semenov. (2023) Simulation of Filtration Processes for Inhomogeneous Media and Homogenization*. Cybernetics and Systems Analysis 59:2, pages 212-230.
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Andrii Khrabustovskyi & Michael Plum. (2022) Operator estimates for homogenization of the Robin Laplacian in a perforated domain. Journal of Differential Equations 338, pages 474-517.
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Kuanysh Abdrakhmanovich Bekmaganbetov, Vladimir Victorovich Chepyzhov & Gregory Aleksandrovich Chechkin. (2022) Strong convergence of attractors of reaction-diffusion system with rapidly oscillating terms in an orthotropic porous medium. Izvestiya: Mathematics 86:6, pages 1072-1101.
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Kuanysh Abdrakhmanovich Bekmaganbetov, Vladimir Victorovich Chepyzhov & Gregory Aleksandrovich Chechkin. (2022) Сильная сходимость аттракторов системы реакции-диффузии с быстро осциллирующими членами в ортотропной пористой средеStrong convergence of attractors of reaction-diffusion system with rapidly oscillating terms in an orthotropic porous medium. Известия Российской академии наук. Серия математическая Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya 86:6, pages 47-78.
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K. A. Bekmaganbetov, V. V. Chepyzhov & G. A. Chechkin. (2021) Homogenization of Attractors of Reaction–Diffusion System with Rapidly Oscillating Terms in an Orthotropic Porous Medium. Journal of Mathematical Sciences 259:2, pages 148-166.
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D. I. Borisov & A. I. Mukhametrakhimova. (2021) Uniform convergence and asymptotics for problems in domains finely perforated along a prescribed manifold in the case of the homogenized Dirichlet condition. Sbornik: Mathematics 212:8, pages 1068-1121.
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Denis Ivanovich Borisov & Albina Ishbuldovna Mukhametrakhimova. (2021) Равномерная сходимость и асимптотики для задач в областях с мелкой перфорацией вдоль заданного многообразия в случае усредненного условия ДирихлеUniform convergence and asymptotics for problems in domains finely perforated along a prescribed manifold in the case of the homogenized Dirichlet condition. Математический сборник Matematicheskii Sbornik 212:8, pages 33-88.
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M. N. Zubova & T. A. Shaposhnikova. (2019) Homogenization of A Boundary-Value Problem in A Domain Perforated by Cavities of Arbitrary Shape with A General Nonlinear Boundary Condition On Their Boundaries: The Case of Critical Values of the Parameters. Journal of Mathematical Sciences 244:2, pages 235-253.
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