Low Mach number limit for a model of radiative flow

被引：16

作者：

Ducomet, Bernard ^{[1
]}

Necasova, Sarka ^{[2
]}

机构：

[1] CEA, DAM, DIF, F-91297 Arpajon, France

[2] Acad Sci Czech Republ, Inst Math, CR-11567 Prague 1, Czech Republic

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2014年 / 14卷 / 02期

关键词：

Radiation hydrodynamics; Navier-Stokes-Fourier system; weak solution; low Mach number; incompressible limit; TRANSFER EQUATIONS; EXISTENCE;

D O I：

10.1007/s00028-014-0217-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a simplified model of compressible Navier-Stokes-Fourier coupled to the radiative transfer equation introduced by Sea < d, Teleaga and al., and we study its low Mach number limit. We prove the convergence toward the incompressible Navier-Stokes system coupled to a system of two stationary transport equations.

引用

页码：357 / 385

页数：29

共 29 条

[1]

AMOSOV AA, 1985, DOKL AKAD NAUK SSSR+, V280, P1326

[2]

[Anonymous], 2001, The Navier-Stokes equations. An elementary functional analytic approach

[3]

[Anonymous], 2007, THESIS

[4]

[Anonymous], 1968, TRANSLATIONS MATH MO

[5]

Balian R., 1992, MICROPHYSICS MACROPH, VII

[6] THE NONACCRETIVE RADIATIVE-TRANSFER EQUATIONS - EXISTENCE OF SOLUTIONS AND ROSSELAND APPROXIMATION [J].

BARDOS, C ;

GOLSE, F ;

PERTHAME, B ;

SENTIS, R .

JOURNAL OF FUNCTIONAL ANALYSIS, 1988, 77 (02) :434-460

[7] Asymptotic analysis of fluid models for the coupling of radiation and hydrodynamics [J].

Buet, C ;

Despres, B .

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 2004, 85 (3-4) :385-418

[8] ORDINARY DIFFERENTIAL-EQUATIONS, TRANSPORT-THEORY AND SOBOLEV SPACES [J].

DIPERNA, RJ ;

LIONS, PL .

INVENTIONES MATHEMATICAE, 1989, 98 (03) :511-547

[9] Theoretical and numerical study on a moment closure hierarchy for the radiative transfer equation [J].

Dubroca, B ;

Feugeas, JL .

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1999, 329 (10) :915-920

[10] A consistent approach for the coupling of radiation and hydrodynamics at low Mach number [J].

Dubroca, Bruno ;

Seaid, Mohammed ;

Teleaga, Ioan .

JOURNAL OF COMPUTATIONAL PHYSICS, 2007, 225 (01) :1039-1065

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