Low Mach number limit on perforated domains for the evolutionary Navier–Stokes–Fourier system

IF 1.6 2区数学 Q2 MATHEMATICS, APPLIED

Nonlinearity Pub Date : 2024-04-22 DOI:10.1088/1361-6544/ad3da9

Danica Basarić and Nilasis Chaudhuri

引用次数: 0

Abstract

We consider the Navier–Stokes–Fourier system describing the motion of a compressible, viscous and heat-conducting fluid on a domain perforated by tiny holes. First, we identify a class of dissipative solutions to the Oberbeck–Boussinesq approximation as a low Mach number limit of the primitive system. Secondly, by proving the weak–strong uniqueness principle, we obtain strong convergence to the target system on the lifespan of the strong solution.

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纳维-斯托克斯-傅里叶演化系统穿孔域的低马赫数限制

我们考虑了纳维-斯托克斯-傅里叶系统，该系统描述了可压缩、粘性和导热流体在有微小孔洞的域上的运动。首先，我们将一类耗散解确定为原始系统的低马赫数极限的 Oberbeck-Boussinesq 近似解。其次，通过证明弱-强唯一性原理，我们在强解的生命周期上获得了对目标系统的强收敛性。

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

Nonlinearity 物理-物理：数学物理

CiteScore

3.00

自引率

5.90%

发文量

170

审稿时长

12 months

期刊介绍： Aimed primarily at mathematicians and physicists interested in research on nonlinear phenomena, the journal''s coverage ranges from proofs of important theorems to papers presenting ideas, conjectures and numerical or physical experiments of significant physical and mathematical interest. Subject coverage: The journal publishes papers on nonlinear mathematics, mathematical physics, experimental physics, theoretical physics and other areas in the sciences where nonlinear phenomena are of fundamental importance. A more detailed indication is given by the subject interests of the Editorial Board members, which are listed in every issue of the journal. Due to the broad scope of Nonlinearity, and in order to make all papers published in the journal accessible to its wide readership, authors are required to provide sufficient introductory material in their paper. This material should contain enough detail and background information to place their research into context and to make it understandable to scientists working on nonlinear phenomena. Nonlinearity is a journal of the Institute of Physics and the London Mathematical Society.