RIEMANN PROBLEM WITH DELTA INITIAL DATA FOR THE RELATIVISTIC CHAPLYGIN EULER EQUATIONS | Zendy

Meixiang Huang | Zendy; Zhiqiang Shao | Zendy

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RIEMANN PROBLEM WITH DELTA INITIAL DATA FOR THE RELATIVISTIC CHAPLYGIN EULER EQUATIONS

Author(s) -

Meixiang Huang,

Zhiqiang Shao

Publication year - 2016

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2016029

Subject(s) - riemann hypothesis , dirac delta function , chaplygin gas , mathematical physics , riemann problem , euler equations , physics , perturbation (astronomy) , mathematics , mathematical analysis , quantum mechanics , cosmology , dark energy

In this paper, we study the Riemann problem with the initial data containing the Dirac delta function for the relativistic Chaplygin Euler equa- tions. Under the generalized Rankine-Hugoniot conditions and entropy con- dition, we constructively obtain the global existence of generalized solutions including delta shock waves that explicitly exhibit four kinds of dierent struc- tures. Moreover, we obtain the stability of generalized solutions by making use of the perturbation of the initial data.

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