Navier-Stokes-Fourier方程的可压逼近

数学物理学报 ›› 2017, Vol. 37 ›› Issue (6): 1070-1084.

Navier-Stokes-Fourier方程的可压逼近

邵光明, 柴晓娟

安徽大学数学科学学院合肥 230601

收稿日期:2016-12-13 修回日期:2017-06-08 出版日期:2017-12-26 发布日期:2017-12-26
作者简介:柴晓娟,E-mail:chaixj@ahu.edu.cn
基金资助:
国家自然科学基金（11701002）和安徽省自然科学基金（1708085MA02）

Approximation of the Incompressible Navier-Stokes-Fourier System by the Artificial Compressibility Method

Shao Guangming, Chai Xiaojuan

School of Mathematical Sciences, Anhui University, Hefei 230601

Received:2016-12-13 Revised:2017-06-08 Online:2017-12-26 Published:2017-12-26
Supported by:
Supported by the NSFC (11701002) and the Natural Science Foundation of Anhui Province (1708085MA02)

摘要/Abstract

摘要： 该文利用人工可压逼近方法来研究不可压的Navier-Stokes-Fourier方程的逼近问题.首先引进扰动的可压Navier-Stokes-Fourier方程族，当∈➝0⁺时，其逼近不可压的Navier-Stokes-Fourier方程.其次给出了扰动的可压Navier-Stokes-Fourier方程解的存在性并证明其收敛到不可压的Navier-Stokes-Fourier方程的解.

关键词: 人工可压逼近方法, Navier-Stokes-Fourier方程

Abstract: This paper investigates the approximation of the incompressible Navier-Stokes-Fourier system by the artificial compressibility method. We introduce a family of perturbed compressible Navier-Stokes-Fourier system, which approximate the incompressible Navier-Stokes-Fourier system as ∈➝0⁺. Then we prove the existence and the convergence of solutions for the perturbed compressible Navier-Stokes-Fourier system to the solutions of the incompressible Navier-Stokes-Fourier system.

Key words: Artificial compressibility method, Navier-Stokes-Fourier system

中图分类号:

O175.29

邵光明, 柴晓娟. Navier-Stokes-Fourier方程的可压逼近[J]. 数学物理学报, 2017, 37(6): 1070-1084.

Shao Guangming, Chai Xiaojuan. Approximation of the Incompressible Navier-Stokes-Fourier System by the Artificial Compressibility Method[J]. Acta mathematica scientia,Series A, 2017, 37(6): 1070-1084.

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