Sequential stability of weak martingale solutions to stochastic compressible Navier-Stokes equations with viscosity vanishing on vacuum

IF 2.4 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2024-10-24 DOI:10.1016/j.jde.2024.10.016

Zdzisław Brzeźniak , Gaurav Dhariwal , Ewelina Zatorska

引用次数: 0

Abstract

In this paper, we investigate the compressible Navier-Stokes equations with degenerate, density-dependent, viscosity coefficient driven by multiplicative stochastic noise. We consider three-dimensional periodic domain and prove that the family of weak martingale solutions is sequentially compact.

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真空上粘度消失的随机可压缩纳维-斯托克斯方程弱鞅解的连续稳定性

在本文中，我们研究了由乘法随机噪声驱动的可压缩纳维-斯托克斯方程，该方程具有退化的、与密度相关的粘性系数。我们考虑了三维周期域，并证明弱鞅解的族是连续紧凑的。

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

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics