代数约束偏微分方程中的超矫顽力及其在奥森方程中的应用

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-12-08 DOI:10.1007/s10884-023-10327-6

Franz Achleitner, Anton Arnold, Volker Mehrmann

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引用次数: 1

摘要

本文利用次矫顽力概念分析了二维环上流体流动的不同版本奥森方程解的长期行为。考虑的模型是各向同性奥森方程（粘度在所有方向上均匀作用）和各向异性奥森型方程（粘度方向不同）。确定了超矫顽力指数（如果存在的话），并证明了与常微分方程和微分代数方程的有限维情况类似，超矫顽力指数描述了其衰减行为。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Hypocoercivity in Algebraically Constrained Partial Differential Equations with Application to Oseen Equations

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Hypocoercivity in Algebraically Constrained Partial Differential Equations with Application to Oseen Equations

The long-time behavior of solutions to different versions of Oseen equations of fluid flow on the 2D torus is analyzed using the concept of hypocoercivity. The considered models are isotropic Oseen equations where the viscosity acts uniformly in all directions and anisotropic Oseen-type equations with different viscosity directions. The hypocoercivity index is determined (if it exists) and it is shown that similar to the finite dimensional case of ordinary differential equations and differential-algebraic equations it characterizes its decay behavior.

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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.