等熵欧拉系统一般粘度扰动下平面稀疏波的稳定性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-11-01 DOI:10.1016/j.anihpc.2021.01.001

Eduard Feireisl , Antonín Novotný

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引用次数: 5

摘要

我们考虑了一般非牛顿可压缩流体模型在Rd, d=2,3时的消失粘度极限。我们假设初始数据接近由黎曼数据确定的轮廓，产生等熵欧拉系统的平面稀疏波。在这种情况下，相关的耗散解序列在消失粘度极限的能量范数中强烈地接近相应的稀疏波。结果涵盖了由Navier-Stokes系统控制的线性粘性流体的特殊情况。

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Stability of planar rarefaction waves under general viscosity perturbation of the isentropic Euler system

We consider the vanishing viscosity limit for a model of a general non-Newtonian compressible fluid in $R^{d}$ , $d = 2, 3$ . We suppose that the initial data approach a profile determined by the Riemann data generating a planar rarefaction wave for the isentropic Euler system. Under these circumstances the associated sequence of dissipative solutions approaches the corresponding rarefaction wave strongly in the energy norm in the vanishing viscosity limit. The result covers the particular case of a linearly viscous fluid governed by the Navier–Stokes system.

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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

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.