可压缩等熵Navier-Stokes方程的耗散解

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED

Communications in Mathematical Sciences Pub Date : 2023-01-01 DOI:10.4310/cms.2023.v21.n7.a10

Liang Guo, Fucai Li, Cheng Yu

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引用次数: 0

摘要

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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Dissipative solutions to the compressible isentropic Navier–Stokes equations

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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来源期刊

Communications in Mathematical Sciences 数学-应用数学

CiteScore

1.70

自引率

10.00%

发文量

审稿时长

6 months

期刊介绍： Covers modern applied mathematics in the fields of modeling, applied and stochastic analyses and numerical computations—on problems that arise in physical, biological, engineering, and financial applications. The journal publishes high-quality, original research articles, reviews, and expository papers.