Rigorous derivation of the compressible Navier–Stokes equations from the two-fluid Navier–Stokes–Maxwell equations

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Quarterly of Applied Mathematics Pub Date : 2023-06-21 DOI:10.1090/qam/1665

Yi Peng, Huaqiao Wang

引用次数: 0

Abstract

In this paper, we rigorously derive the compressible one-fluid Navier–Stokes equations from the scaled compressible two-fluid Navier–Stokes–Maxwell equations under the assumption that the initial data are well prepared. We justify the singular limit by proving the uniform decay of the error system, which is obtained by using the elaborate energy estimates.

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从两流体Navier-Stokes - maxwell方程严格推导可压缩Navier-Stokes方程

本文在初始数据准备充分的前提下，从缩放后的可压缩双流体Navier-Stokes - maxwell方程严格推导出可压缩单流体Navier-Stokes方程。我们通过证明误差系统的均匀衰减来证明奇异极限，这是用精细的能量估计得到的。

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

Quarterly of Applied Mathematics 数学-应用数学

CiteScore

1.90

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： The Quarterly of Applied Mathematics contains original papers in applied mathematics which have a close connection with applications. An author index appears in the last issue of each volume. This journal, published quarterly by Brown University with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.