Large diffusivity and rate of convergence of attractors in parabolic systems-Reference-Cited by-同舟云学术

Large diffusivity and rate of convergence of attractors in parabolic systems

Published:2023 Issue:9 Volume:37 Page:2675-2684
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Pires Leonardo¹,Samprogna Rodrigo²

Affiliation:

1. State University of Ponta Grossa, Ponta Grossa, Brazil

2. Federal University of Alfenas, Poços de Caldas, Brazil

Abstract

In this paper, we are concerned with the rate of convergence of parabolic systems with large diffusion. We exhibit the exact moment that spatial homogenization occurs and estimate the continuity of attractors by a rate of convergence. We present an example where our estimate is optimal.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference9 articles.

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4. A. N. Carvalho, J.A. Langa, J.C. Robinson, Attractors for Infinite-Dimensional Non-Autonomous Dynamical Systems, Springer, 2010.

5. A. N. Carvalho, L. Pires, Rate of convergence of attractors for singularly perturbed semilinear problems, Journal of Mathematical Analysis and Applications 452 (2017) 258-296.

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