Strong convergence of attractors of reaction-diffusion system with rapidly oscillating terms in an orthotropic porous medium

Author:

Bekmaganbetov Kuanysh Abdrakhmanovich12,Chepyzhov Vladimir Victorovich3,Chechkin Gregory Aleksandrovich45

Affiliation:

1. Kazakhstan Branch of Lomonosov Moscow State University, Nur-Sultan

2. Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science, Republic of Kazakhstan, Almaty

3. Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow

4. Lomonosov Moscow State University

5. Institute of Mathematics with Computing Centre, Ufa Federal Research Centre, Russian Academy of Sciences, Ufa

Abstract

A system of reaction-diffusion equations in a perforated domain with rapidly oscillating terms in the equations and in the boundary conditions is considered. It is not assumed that the uniqueness theorem conditions are satisfied for the corresponding initial-boundary value problem. We have proved the strong convergence of the trajectory attractors of this system to the trajectory attractors of the homogenized reaction-diffusion system with a ‘strange term’ (potential).

Funder

Russian Foundation for Basic Research

Russian Science Foundation

Ministry of Education and Science of the Republic of Kazakhstan

Publisher

Steklov Mathematical Institute

Subject

General Mathematics

Reference81 articles.

1. Homogenization of attractors of reaction-diffusion system with rapidly oscillating terms in an orthotropic porous medium;K. A. Bekmaganbetov, V. V. Chepyzhov, and G. A. Chechkin;Probl. Mat. Anal.,2021

2. Homogenization of Attractors of Reaction–Diffusion System with Rapidly Oscillating Terms in an Orthotropic Porous Medium

3. Un terme étrange venu d'ailleurs;D. Cioranescu and F. Murat,1982

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