粘性接触波对一维可压缩纳维-斯托克斯方程的稳定性和衰减率

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-02-01 DOI:10.4310/cms.2024.v22.n2.a2

Xinxiang Bian, Lingling Xie

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引用次数: 0

摘要

本文研究了粘性接触波对一维可压缩纳维-斯托克斯方程的大时间渐近稳定性和最佳时间衰减率。我们证明，在大的初始扰动下，一维可压缩 Navier-Stokes 方程对于任意大强度的粘性接触波是渐近稳定的。在小的初始扰动下，还得到了粘性接触波的时间最优衰减率。在证明过程中，使用了拉格朗日变换来消除对流项，与扩散项相比，对流项的空间导数较低，难以估计。

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Stability and decay rate of viscous contact wave to one-dimensional compressible Navier-Stokes equations

This paper studies the large-time asymptotic stability and optimal time-decay rate of viscous contact wave to one-dimensional compressible Navier–Stokes equations. We prove that one-dimensional compressible Navier–Stokes equations are asymptotically stable for viscous contact wave with arbitrarily large strength, under large initial perturbations. The time optimal decay rate of viscous contact wave is also obtained under the small initial perturbations. In the proof, the Lagrange transform is used to cancel the convection terms, which are difficult to estimate due to the lower spatial derivatives compared with the diffusion terms.

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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.