THE VACUUM IN NONISENTROPIC GAS DYNAMICS

doi:10.1016/S0252-9602(12)60021-6

数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (1): 339-351.doi: 10.1016/S0252-9602(12)60021-6

THE VACUUM IN NONISENTROPIC GAS DYNAMICS

Geng Chen, Robin Young

Department of Mathematics, Pennsylvania State University, University Park, PA, 16802, USA|Department of Mathematics, University of Massachusetts, Amherst, MA 01003, USA

收稿日期:2011-11-27 出版日期:2012-01-20 发布日期:2012-01-20
基金资助:
Young’s research supported in part by NSF Applied Mathematics Grant Number DMS-0908190.

THE VACUUM IN NONISENTROPIC GAS DYNAMICS

Geng Chen, Robin Young

Department of Mathematics, Pennsylvania State University, University Park, PA, 16802, USA|Department of Mathematics, University of Massachusetts, Amherst, MA 01003, USA

Received:2011-11-27 Online:2012-01-20 Published:2012-01-20
Supported by:
Young’s research supported in part by NSF Applied Mathematics Grant Number DMS-0908190.

摘要/Abstract

摘要：

We investigate the vacuum in nonisentropic gas dynamics in one space vari-able, with the most general equation of states allowed by thermodynamics. We recall physical constraints on the equations of state and give explicit and easily checkable condi-tions under which vacuums occur in the solution of the Riemann problem. We then present a class of models for which the Riemann problem admits unique global solutions without
vacuums.

关键词: nonisentropic gas dynamics, conservation laws, vacuum, large data, Rie-mann problem

Abstract:

Key words: nonisentropic gas dynamics, conservation laws, vacuum, large data, Rie-mann problem

中图分类号:

35L65

Geng Chen, Robin Young. THE VACUUM IN NONISENTROPIC GAS DYNAMICS[J]. 数学物理学报(英文版), 2012, 32(1): 339-351.

Geng Chen, Robin Young. THE VACUUM IN NONISENTROPIC GAS DYNAMICS[J]. Acta mathematica scientia,Series B, 2012, 32(1): 339-351.

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THE VACUUM IN NONISENTROPIC GAS DYNAMICS

THE VACUUM IN NONISENTROPIC GAS DYNAMICS

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