Lower Semicontinuity of Pullback Attractors for a Non-autonomous Coupled System of Strongly Damped Wave Equations

IF 1.6 2区数学 Q2 MATHEMATICS, APPLIED

Applied Mathematics and Optimization Pub Date : 2024-07-29 DOI:10.1007/s00245-024-10170-1

Everaldo M. Bonotto, Alexandre N. Carvalho, Marcelo J. D. Nascimento, Eric B. Santiago

引用次数: 0

Abstract

The aim of this paper is to study the robustness of the family of pullback attractors associated with a non-autonomous coupled system of strongly damped wave equations, which is a modified version of the well known Klein–Gordon–Zakharov system. Under appropriate hyperbolicity conditions, we establish the gradient-like structure of the limit pullback attractor associated with this evolution system, and we prove the continuity of the family of pullback attractors at zero.

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强阻尼波方程非自治耦合系统的回拉吸引子的下半连续性

本文旨在研究与强阻尼波方程的非自治耦合系统相关的回拉吸引子群的稳健性，该系统是著名的克莱因-戈登-扎哈罗夫系统的改进版。在适当的双曲性条件下，我们建立了与该演化系统相关的极限回拉吸引子的梯度状结构，并证明了回拉吸引子族在零点的连续性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied Mathematics and Optimization 数学-应用数学

CiteScore

3.30

自引率

5.60%

发文量

103

审稿时长

>12 weeks

期刊介绍： The Applied Mathematics and Optimization Journal covers a broad range of mathematical methods in particular those that bridge with optimization and have some connection with applications. Core topics include calculus of variations, partial differential equations, stochastic control, optimization of deterministic or stochastic systems in discrete or continuous time, homogenization, control theory, mean field games, dynamic games and optimal transport. Algorithmic, data analytic, machine learning and numerical methods which support the modeling and analysis of optimization problems are encouraged. Of great interest are papers which show some novel idea in either the theory or model which include some connection with potential applications in science and engineering.