GLOBAL EXISTENCE AND ASYMPTOTIC ANALYSIS OF SOLUTIONS TO A MODEL FOR THE DYNAMIC COMBUSTION OF COMPRESSIBLE FLUIDS

被引：0

作者：

Trivisa, Konstantina ^{[1
]}

机构：

[1] Univ Maryland, Dept Math, College Pk, MD 20742 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2003年

关键词：

Compressible; reacting fluids; Navier-Stokes equations; dynamic combustion; total variation estimates; difference approximation techniques; energy methods;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A model is introduced for the dynamic combustion of exothermically reacting, compressible fluids formulated by the Navier-Stokes equations expressing the conservation of mass, the balance of momentum and energy and the two species chemical kinetics. The global existence of the discontinuous solutions to the Navier-Stokes equations with large discontinuous initial data is established by combining the difference approximations techniques and energy estimates. The asymptotic analysis of solutions is also discussed.

引用

页码：852 / 863

页数：12

共 12 条

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