ZERO DISSIPATION LIMIT TO A RAREFACTION WAVE WITH A VACUUM FOR A COMPRESSIBLE, HEAT CONDUCTING REACTING MIXTURE*

doi:10.1007/s10473-023-0613-6

摘要/Abstract

摘要： In this paper, we study the zero dissipation limit with a vacuum for the reacting mixture Navier-Stokes equations. For proper smooth initial data that the initial density tends to zero as the relevant physical coefficients tend to zero, we demonstrate that the solution tends to a rarefaction wave connected to a vacuum on the left side coupled with a zero mass fraction of reactant. What is more, the uniform convergence rate is obtained.

关键词: zero dissipation limit, vacuum, reacting mixture, Navier-Stokes equations

Abstract: In this paper, we study the zero dissipation limit with a vacuum for the reacting mixture Navier-Stokes equations. For proper smooth initial data that the initial density tends to zero as the relevant physical coefficients tend to zero, we demonstrate that the solution tends to a rarefaction wave connected to a vacuum on the left side coupled with a zero mass fraction of reactant. What is more, the uniform convergence rate is obtained.

Key words: zero dissipation limit, vacuum, reacting mixture, Navier-Stokes equations

中图分类号:

35Q35

Shengchuang CHANG, Ran DUAN. ZERO DISSIPATION LIMIT TO A RAREFACTION WAVE WITH A VACUUM FOR A COMPRESSIBLE, HEAT CONDUCTING REACTING MIXTURE^*[J]. 数学物理学报(英文版), 2023, 43(6): 2533-2552.

Shengchuang CHANG, Ran DUAN. ZERO DISSIPATION LIMIT TO A RAREFACTION WAVE WITH A VACUUM FOR A COMPRESSIBLE, HEAT CONDUCTING REACTING MIXTURE^*[J]. Acta mathematica scientia,Series B, 2023, 43(6): 2533-2552.

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ZERO DISSIPATION LIMIT TO A RAREFACTION WAVE WITH A VACUUM FOR A COMPRESSIBLE, HEAT CONDUCTING REACTING MIXTURE^*

ZERO DISSIPATION LIMIT TO A RAREFACTION WAVE WITH A VACUUM FOR A COMPRESSIBLE, HEAT CONDUCTING REACTING MIXTURE^*

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