Navier-Stokes-Fourier方程的可压逼近

Abstract

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

CLC Number:

O175.29

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

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