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ArticleOriginal scientific text

Title

Local existence of solutions of the mixed problem for the system of equations of ideal relativistic hydrodynamics

Authors 1, 1

Affiliations

  1. Institute of Mathematics, Śniadeckich 8, 00-950 Warszawa, Poland

Abstract

Existence and uniqueness of local solutions for the initial-boundary value problem for the equations of an ideal relativistic fluid are proved. Both barotropic and nonbarotropic motions are considered. Existence for the linearized problem is shown by transforming the equations to a symmetric system and showing the existence of weak solutions; next, the appropriate regularity is obtained by applying Friedrich's mollifiers technique. Finally, existence for the nonlinear problem is proved by the method of successive approximations.

Keywords

ENG
relativistic hydrodynamics, symmetrization, existence, system of hyperbolic equations of the first order, initial-boundary value problem

Bibliography

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Applicationes Mathematicae
1998-1999/25/2
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Pages:
221-252
Main language of publication
English
Received
1997-04-14
Accepted
1997-10-17
Published
1998
Exact and natural sciences