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 1.4 4区数学 Q1 MATHEMATICS

Journal of Dynamics and Differential Equations 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

Journal of Dynamics and Differential Equations 数学-数学

CiteScore

3.30

自引率

7.70%

发文量

116

审稿时长

>12 weeks

期刊介绍： Journal of Dynamics and Differential Equations serves as an international forum for the publication of high-quality, peer-reviewed original papers in the field of mathematics, biology, engineering, physics, and other areas of science. The dynamical issues treated in the journal cover all the classical topics, including attractors, bifurcation theory, connection theory, dichotomies, stability theory and transversality, as well as topics in new and emerging areas of the field.