On the Incompressible Limit of a Strongly Stratified Heat Conducting Fluid

IF 1.2 3区数学 Q2 MATHEMATICS, APPLIED

Journal of Mathematical Fluid Mechanics Pub Date : 2023-05-30 DOI:10.1007/s00021-023-00791-x

Danica Basarić, Peter Bella, Eduard Feireisl, Florian Oschmann, Edriss S. Titi

引用次数: 1

Abstract

A compressible, viscous and heat conducting fluid is confined between two parallel plates maintained at a constant temperature and subject to a strong stratification due to the gravitational force. We consider the asymptotic limit, where the Mach number and the Froude number are of the same order proportional to a small parameter. We show the limit problem can be identified with Majda’s model of layered “stack-of-pancake” flow.

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强分层导热流体的不可压缩极限

一种可压缩、粘性和导热的流体被限制在两个平行的板之间，保持恒定的温度，并由于重力而受到强烈的分层。我们考虑了马赫数和弗鲁德数与一个小参数成正比的同阶的渐近极限。我们证明了极限问题可以用Majda的分层“煎饼堆”流模型来识别。

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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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.