GLOBAL-SOLUTIONS TO THE COMPRESSIBLE NAVIER-STOKES EQUATIONS FOR A REACTING MIXTURE

被引：89

作者：

CHEN, GQ ^{[1
]}

机构：

[1] ARGONNE NATL LAB,DIV MATH & COMP SCI,ARGONNE,IL 60439

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1992年 / 23卷 / 03期

关键词：

GLOBAL GENERALIZED SOLUTIONS; ASYMPTOTIC BEHAVIOR; EQUIVALENCE; COMBUSTION; DISCONTINUOUS ARRHENIUS FUNCTIONS; A PRIORI ESTIMATES; NAVIER-STOKES EQUATIONS;

D O I：

10.1137/0523031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Existence theorems are established for global generalized solutions to the compressible Navier-Stokes equations for a reacting mixture with discontinuous Arrhenius functions, which describe dynamic combustion. Equivalence of the Navier-Stokes equations in the Euler coordinates and the Lagrange coordinates for the generalized solutions is verified. The asymptotic behavior of the generalized solutions with different boundary conditions is identified and proved.

引用

页码：609 / 634

页数：26

共 24 条

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[2]

CHEN GQ, 1988, ACTA MATH SCI, V8, P85

[3]

COLLELA P, 1986, SIAM J SCI STAT COMP, V7, P1059

[4]

Courant R., 1948, SUPERSONIC FLOW SHOC