APPROXIMATE SOLUTIONS TO A MODEL OF TWO-COMPONENT REACTIVE FLOW

被引:22
作者
Mucha, Piotr Boguslaw [1 ]
Pokorny, Milan [2 ]
Zatorska, Ewelina [1 ]
机构
[1] Univ Warsaw, Inst Appl Math & Mech, PL-02097 Warsaw, Poland
[2] Charles Univ Prague, Fac Math & Phys, Math Inst, Prague 18675, Czech Republic
来源
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2014年 / 7卷 / 05期
关键词
Multicomponent flow; chemically reacting gas; density-dependent viscosity; compressible Navier-Stokes system; weak solutions; GLOBAL WEAK SOLUTIONS; EXISTENCE; MULTICOMPONENT; EQUATIONS;
D O I
10.3934/dcdss.2014.7.1079
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider a model of motion of binary mixture, based on the compressible Navier-Stokes system. The mass balances of chemically reacting species are described by the reaction-diffusion equations with generalized form of multicomponent diffusion flux. Under a special relation between the two density dependent viscosity coefficients and for singular cold pressure we construct the weak solutions passing through several levels of approximation.
引用
收藏
页码:1079 / 1099
页数:21
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