THE LOW MACH NUMBER LIMIT FOR A BAROTROPIC MODEL OF RADIATIVE FLOW

被引：15

作者：

Danchin, Raphael ^{[1
]}

Ducomet, Bernard ^{[2
]}

机构：

[1] Univ Paris Est, Inst Univ France, CNRS, UPEC,UPEMLV,LAMA UMR 8050, F-94010 Creteil 10, France

[2] CEA, DAM, DIF, Dept Phys Theor & Appl, F-91297 Arpajon, France

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2016年 / 48卷 / 02期

关键词：

radiation hydrodynamics; Navier-Stokes system; low Mach number; critical regularity; P1-approximation; dispersive estimates; CRITICAL SPACES;

D O I：

10.1137/15M1009081

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We aim at justifying rigorously the low Mach number asymptotics for a model of compressible fluid coupled to the radiation. For simplicity, we restrict ourselves to the barotropic situation and adopt the so-called P1-approximation to model the effects of radiation. We focus on small perturbations of stable constant equilibria. In the critical regularity framework, we establish estimates independent of the Mach number and convergence results to the incompressible Navier-Stokes equation, exactly as in the nonradiative case. Our results hold true in the whole space R-n as well as in a periodic box T-n with n >= 2.

引用

页码：1025 / 1053

页数：29

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