Dissipative solutions to the compressible isentropic Navier–Stokes equations

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.4310/cms.2023.v21.n7.a10

Liang Guo, Fucai Li, Cheng Yu

引用次数: 0

Abstract

The existence of dissipative solutions to the compressible isentropic Navier-Stokes equations was established in this paper. This notion was inspired by the concept of dissipative solutions to the incompressible Euler equations of Lions (\cite{Lions-1996}, Section 4.4). Our method is to recover such solutions by passing to the limits from approximated solutions, thanks to compactness argument.

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可压缩等熵Navier-Stokes方程的耗散解

本文建立了可压缩等熵Navier-Stokes方程耗散解的存在性。这个概念的灵感来自狮子的不可压缩欧拉方程的耗散解的概念(\cite{Lions-1996}，第4.4节)。我们的方法是通过从近似解传递到极限来恢复这样的解，这得益于紧性论证。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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