Acta mathematica scientia, Series B >
STRONG SHOCKS IN NONISENTROPIC GAS DYNAMICS
Received date: 2009-01-08
Online published: 2009-07-20
In nonisentropic gas dynamics, with general equations of state, strong com-pressive shocks satisfying the Liu E-condition may violate the Second Law of thermody-namics.
Key words: gas dynamics; entropy; Lax E-condition; Liu E-condition
Constantine M. Dafermos . STRONG SHOCKS IN NONISENTROPIC GAS DYNAMICS[J]. Acta mathematica scientia, Series B, 2009 , 29(4) : 973 -979 . DOI: 10.1016/S0252-9602(09)60081-3
[1] Bethe H A. On the theory of shock waves for an arbitrary equation of state. Report No 545, Office of
Scientific Research and Development, Serial No. NDRC-B-237, 1942
[2] Chang Tung, Hsiao Ling. The Riemann Problem and Interactions of Waves in Gas Dynamics. Essex:
Longman, 1989
[3] Dafermos Constantine M. Hyperbolic Conservation Laws in Continuum Physics. Second Edition. Heidel-
berg: Springer, 2005
[4] Liu Tai-Ping. The Riemann problem for general systems of conservation laws. J Differential Equations,
1975, 18: 218–234
[5] Liu Tai-Ping. Shock waves in nonisentropic gas flow. J Differential Equations, 1976, 22: 442–452
[6] Smith R G. The Riemann problem in gas dynamics. Trans American Mathematical Society, 1979, 249:
1–50
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