具有退化记忆的波动方程的正则全局吸引子

Q3 Mathematics

Ural Mathematical Journal Pub Date : 2016-06-20 DOI:10.15826/UMJ.2019.1.007

J. Shomberg

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引用次数: 2

摘要

我们考虑最近在Cavalcanti, Fatori和Ma，具有退化记忆的波动方程的吸引子，J.微分方程(2016)中研究的具有退化粘弹性耗散的波动方程。在一些附加的假设下，我们证明了紧吸收集的存在性。这一结果进一步证明了全局吸引子的正则性，并表明它由正则解组成。

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Regular Global Attractors for Wave Equations with Degenerate Memory

We consider the wave equation with degenerate viscoelastic dissipation recently examined in Cavalcanti, Fatori, and Ma, Attractors for wave equations with degenerate memory, J. Differential Equations (2016). Under some additional assumptions, we show the existence of a compact absorbing set. This result provides further regularity for the global attractor and shows that it consists of regular solutions.

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来源期刊

Ural Mathematical Journal Mathematics-Mathematics (all)

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

16 weeks