Dissipative solutions to the compressible isentropic Navier–Stokes equations

IF 1.2 4区 数学 Q2 MATHEMATICS, APPLIED
Liang Guo, Fucai Li, Cheng Yu
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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.
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。
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来源期刊
CiteScore
1.70
自引率
10.00%
发文量
59
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.
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