从松弛欧拉方程到含奥尔德罗伊德型构成律的纳维-斯托克斯方程的全局收敛率

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-08-14 DOI:10.1088/1361-6544/ad68b7

Yue-Jun Peng, Liang Zhao

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引用次数: 0

摘要

在之前的一项工作（Peng 和 Zhao 2022 J. Math. Fluid Mech.24 29）中，证明了牛顿流体的一维完全可压缩纳维-斯托克斯方程可以通过一个具有 Oldroyd 导数和修正的 Cattaneo 构成律的松弛欧拉型系统进行全局实时近似。这两项松弛将整个系统转化为具有部分耗散的一阶准线性双曲系统。在本文中，我们确定了松弛欧拉型系统的光滑解与周期域上的纳维-斯托克斯方程之间的全局收敛率。为此，我们使用了流函数技术和误差系统的能量估计。这些技术可能适用于更复杂的系统。

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Global convergence rates from relaxed Euler equations to Navier–Stokes equations with Oldroyd-type constitutive laws

In a previous work (Peng and Zhao 2022 J. Math. Fluid Mech. 24 29), it is proved that the 1D full compressible Navier–Stokes equations for a Newtonian fluid can be approximated globally-in-time by a relaxed Euler-type system with Oldroyd’s derivatives and a revised Cattaneo’s constitutive law. These two relaxations turn the whole system into a first-order quasilinear hyperbolic one with partial dissipation. In this paper, we establish the global convergence rates between the smooth solutions to the relaxed Euler-type system and the Navier–Stokes equations over periodic domains. For this purpose, we use stream function techniques together with energy estimates for error systems. These techniques may be applicable to more complicated systems.

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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.