Strong convergence of attractors of reaction-diffusion system with rapidly oscillating terms in an orthotropic porous medium
Bekmaganbetov K.A. Chepyzhov V.V. Chechkin G.A.
2022Steklov Mathematical Institute of Russian Academy of Sciences
Izvestiya Mathematics
2022#86Issue 61072 - 1101 pp.
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).
attractors , energy identity , homogenization , nonlinear equations , perforated domain , rapidly oscillating terms , reaction-diffusion systems , strange term , strong convergence , weak convergence
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Lomonosov Moscow State University, Kazakhstan Branch, Astana, Kazakhstan
Institute of Mathematics and Mathematic Modeling of Ministry of Education and Science of Republic of Kazakhstan, Almaty, Kazakhstan
Kharkevich Institute for Information Transmission Problems of Russian Academy of Science, Moscow, Russian Federation
Lomonosov Moscow State University, Moscow, Russian Federation
Institute of Mathematics with Computing Center of Ufa Federal Research Center of Russian Academy of Science, Ufa, Russian Federation
Lomonosov Moscow State University
Institute of Mathematics and Mathematic Modeling of Ministry of Education and Science of Republic of Kazakhstan
Kharkevich Institute for Information Transmission Problems of Russian Academy of Science
Lomonosov Moscow State University
Institute of Mathematics with Computing Center of Ufa Federal Research Center of Russian Academy of Science
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