Acta mathematica scientia, Series B >
THE VACUUM IN NONISENTROPIC GAS DYNAMICS
Received date: 2011-11-27
Online published: 2012-01-20
Supported by
Young’s research supported in part by NSF Applied Mathematics Grant Number DMS-0908190.
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.
Key words： nonisentropic gas dynamics; conservation laws; vacuum; large data; Rie-mann problem
Geng Chen , Robin Young . THE VACUUM IN NONISENTROPIC GAS DYNAMICS[J]. Acta mathematica scientia, Series B, 2012 , 32(1) : 339 -351 . DOI: 10.1016/S0252-9602(12)60021-6
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