Acta mathematica scientia, Series B >
SIMPLE WAVES OF THE TWO DIMENSIONAL COMPRESSIBLE FULL EULER EQUATIONS
Received date: 2015-02-04
Online published: 2015-07-01
In this paper, we establish the existence of four families of simple wave solution for two dimensional compressible full Euler system in the self-similar plane. For the 2×2 quasilinear non-reducible hyperbolic system, there not necessarily exists any simple wave solution. We prove the result that there are simple wave solutions for this 4×4 non-reducible hyperbolic system, its simple wave flow is covered by four straight characteristics λ0=λ1,λ2,λ3 and the solutions keep constants along these lines. We also investigate the existence of simple wave solution for the isentropic relativistic hydrodynamic system in the self-similar plane.
Key words： simple waves; Euler equations; characteristic decomposition
Yu CHEN , Yi ZHOU . SIMPLE WAVES OF THE TWO DIMENSIONAL COMPRESSIBLE FULL EULER EQUATIONS[J]. Acta mathematica scientia, Series B, 2015 , 35(4) : 855 -875 . DOI: 10.1016/S0252-9602(15)30025-4
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