The equations of magnetohydrodynamics: On the interaction between matter and radiation in the evolution of gaseous stars

被引：244

作者：

Ducomet, Bernard

Feireisl, Eduard

机构：

[1] CEA DAM Ile de France, Dept Phys Theor & Appl, F-91680 Bruyeres Le Chatel, France

[2] Tech Univ Muenchen, Dept Global Anal, D-85747 Garching, Germany

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

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2006年 / 266卷 / 03期

关键词：

D O I：

10.1007/s00220-006-0052-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove existence of global-in-time weak solutions to the equations of magnetohydrodynamics, specifically, the Navier-Stokes-Fourier system describing the evolution of a compressible, viscous, and heat conducting fluid coupled with the Maxwell equations governing the behaviour of the magnetic field. The result applies to any finite energy data posed on a bounded spatial domain in R-3, supplemented with conservative boundary conditions.

引用

页码：595 / 629

页数：35

共 42 条

[21] On integrability up to the boundary of the weak solutions of the Navier-Stokes equations of compressible flow
Feireisl, E
Petzeltová, H
[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2000, 25 (3-4) : 755 - 767
[22] Feireisl E., 2001, COMMENT MATH U CAROL, V42, P83
[23] FEIREISL E., 2003, DYNAMICS VISCOUS COM
[24] Galdi G.P., 1994, INTRO MATH THEORY NA, VI
[25] Gallavotti G., 1999, Statistical Mechanics: A Short Treatise
[26] Giovangigli V., 1999, MODEL SIMUL SCI ENG
[27] Symmetric nonbarotropic flows with large data and forces
Hoff, D
Jenssen, HK
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2004, 173 (03) : 297 - 343
[28] JEFFRE AN, 1964, NONLINEAR WAVE PROPA
[29] Bounds on the density for compressible isentropic Navier-Stokes equations with Dirichlet boundary conditions
Lions, PL
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1999, 328 (08): : 659 - 662
[30] Lions PL, 1998, MATH TOPICS FLUID DY, V2

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