双曲可压缩Navier-Stokes方程稀疏波的渐近稳定性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-11-01 DOI:10.1007/s00021-023-00833-4

Yuxi Hu, Xuefang Wang

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引用次数: 0

摘要

我们考虑一个一维等熵可压缩纳维-斯托克斯方程模型，其中经典牛顿流被麦克斯韦流所取代。在初始扰动和波幅的条件下，建立了该模型稀疏波的渐近稳定性。该证明基于\(L^2\)能量方法。

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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Asymptotic Stability of Rarefaction Waves for Hyperbolized Compressible Navier–Stokes Equations

We consider a model of one dimensional isentropic compressible Navier–Stokes equations for which the classical Newtonian flow is replaced by a Maxwell flow. We establish the asymptotic stability of rarefaction waves for this model under some small conditions on initial perturbations and amplitude of the waves. The proof is based on \(L^2\) energy methods.

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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.