非齐次Dirichlet边界条件驱动的Navier–Stokes–Fourier系统解的渐近稳定性

IF 2.1 2区数学 Q1 MATHEMATICS

Communications in Partial Differential Equations Pub Date : 2021-09-02 DOI:10.1080/03605302.2022.2056703

E. Feireisl, Young-Sam Kwon

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引用次数: 3

摘要

摘要我们考虑Navier–Stokes–Fourier系统的全局时间解，该系统描述了一般可压缩、粘性和导热流体远离等熵的运动。利用适用于非齐次Dirichlet时间相关数据的弱解的新概念，我们找到了全局时间内弱解最终有界的充分条件。

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 solutions to the Navier–Stokes–Fourier system driven by inhomogeneous Dirichlet boundary conditions

Abstract We consider global in time solutions of the Navier–Stokes–Fourier system describing the motion of a general compressible, viscous and heat conducting fluid far from equilibirum. Using a new concept of weak solution suitable to accommodate the inhomogeneous Dirichlet time dependent data we find sufficient conditions for the global in time weak solutions to be ultimately bounded.

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来源期刊

Communications in Partial Differential Equations 数学-数学

CiteScore

3.60

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal aims to publish high quality papers concerning any theoretical aspect of partial differential equations, as well as its applications to other areas of mathematics. Suitability of any paper is at the discretion of the editors. We seek to present the most significant advances in this central field to a wide readership which includes researchers and graduate students in mathematics and the more mathematical aspects of physics and engineering.