Navier-Stokes-Fourier方程的可压逼近  

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

作　　者：邵光明[1] 柴晓娟[1] Shao Guangming;Chai Xiaojuan(School of Mathematical Sciences, Anhui University, Hefei 230601)

机构地区：[1]安徽大学数学科学学院

出　　处：《数学物理学报（A辑）》2017年第6期1070-1084,共15页Acta Mathematica Scientia

基　　金：国家自然科学基金(11701002);安徽省自然科学基金(1708085MA02)~~

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NavierStokes-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.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 Navicr-Stokes- Fourier system as ε→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.

关 键 词：人工可压逼近方法 Navier-Stokes-Fourier方程 

分 类 号：O175.29[理学—数学]