双曲可压缩Navier-Stokes方程稀疏波的渐近稳定性

IF 1.2 3区数学 Q2 MATHEMATICS, APPLIED

Journal of Mathematical Fluid Mechanics 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

Journal of Mathematical Fluid Mechanics 物理-力学

CiteScore

2.00

自引率

15.40%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Mathematical Fluid Mechanics (JMFM)is a forum for the publication of high-quality peer-reviewed papers on the mathematical theory of fluid mechanics, with special regards to the Navier-Stokes equations. As an important part of that, the journal encourages papers dealing with mathematical aspects of computational theory, as well as with applications in science and engineering. The journal also publishes in related areas of mathematics that have a direct bearing on the mathematical theory of fluid mechanics. All papers will be characterized by originality and mathematical rigor. For a paper to be accepted, it is not enough that it contains original results. In fact, results should be highly relevant to the mathematical theory of fluid mechanics, and meet a wide readership.