一类具有快速振荡的随机弱阻尼波动方程的有效动力学

IF 0.5 4区数学 Q3 MATHEMATICS

Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-05-01 DOI:10.1063/5.0137730

Jin-Wei Zhao, B. Ge, Lu Liu

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引用次数: 0

摘要

研究了一类具有快速振荡的随机弱阻尼波动方程在非lipschitz条件下的有效动力学行为。我们证明了慢分量收敛于相应的平均方程的解。本文的结果将已有的Lipschitz条件的结果扩展到非Lipschitz条件，这是一个弱得多的条件，应用范围更广。

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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Effective dynamics for a class of stochastic weakly damped wave equation with a fast oscillation

The purpose of this paper is to consider the effective dynamic behavior of a class of stochastic weakly damped wave equations with a fast oscillation under the non-Lipschitz condition. We show that the slow component converges to the solution of the corresponding average equation. The result presented here extends the existing results from the Lipschitz to non-Lipschitz condition, which is a much weaker condition with a wider range of applications.

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来源期刊

Journal of Mathematical Physics Analysis Geometry PHYSICS, MATHEMATICAL-

CiteScore

0.70

自引率

20.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Mathematical Physics, Analysis, Geometry (JMPAG) publishes original papers and reviews on the main subjects: mathematical problems of modern physics; complex analysis and its applications; asymptotic problems of differential equations; spectral theory including inverse problems and their applications; geometry in large and differential geometry; functional analysis, theory of representations, and operator algebras including ergodic theory. The Journal aims at a broad readership of actively involved in scientific research and/or teaching at all levels scientists.