Acta mathematica scientia, Series B >
THE RIEMANN PROBLEM WITH DELTA INITIAL DATA FOR THE ONE-DIMENSIONAL CHAPLYGIN GAS EQUATIONS
Received date: 2010-11-09
Revised date: 2011-04-27
Online published: 2012-05-20
Supported by
This work is partially supported by National Natural Science Foundation of China (10871199).
In this article, we study the Riemann problem with delta initial data for the one-dimensional Chaplygin gas equations. Under the generalized Rankine-Hugoniot conditions and the entropy condition, we constructively obtain the global existence of generalized solutions that explicitly exhibit four kinds of different structures. Moreover, we obtain the stability of generalized solutions by making use of the perturbation of the initial data.
WANG Zhen , ZHANG Qing-Ling . THE RIEMANN PROBLEM WITH DELTA INITIAL DATA FOR THE ONE-DIMENSIONAL CHAPLYGIN GAS EQUATIONS[J]. Acta mathematica scientia, Series B, 2012 , 32(3) : 825 -841 . DOI: 10.1016/S0252-9602(12)60064-2
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