Exponential attractors for two-dimensional nonlocal diffusion lattice systems with delay-Reference-Cited by-同舟云学术

Exponential attractors for two-dimensional nonlocal diffusion lattice systems with delay

Published:2022 Issue:5 Volume:21 Page:1811
ISSN:1534-0392
Container-title:Communications on Pure and Applied Analysis
language:
Short-container-title:CPAA

Author:

Yang Lin¹,Wang Yejuan¹,Kloeden Peter E.²

Affiliation:

1. School of Mathematics and Statistics, Gansu Key Laboratory of Applied Mathematics and Complex Systems, Lanzhou University, Lanzhou 730000, China

2. Mathematisches Institut, Universität Tübingen, Tübingen 72076, Germany

Abstract

<p style='text-indent:20px;'>In this paper, we study the long term dynamical behavior of a two-dimensional nonlocal diffusion lattice system with delay. First some sufficient conditions for the construction of an exponential attractor are presented for infinite dimensional autonomous dynamical systems with delay. Then, the existence of exponential attractors for the two-dimensional nonlocal diffusion delay lattice system is established by using the new method of tail-estimates of solutions and overcoming the difficulties caused by the nonlocal diffusion operator and the multi-dimensionality.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Analysis,General Medicine

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