Geodesic
Local existence of solutions of the mixed problem for the system of equations of ideal relativistic hydrodynamics
Applicationes Mathematicae, Tome 25 (1999) no. 2, pp. 221-252 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/am-25-2-221-252
Keywords: relativistic hydrodynamics, symmetrization, existence, system of hyperbolic equations of the first order, initial-boundary value problem

Joanna Rencławowicz 1 ; Wojciech Zajączkowski 1

1 
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Joanna Rencławowicz; Wojciech Zajączkowski. Local existence of solutions of the mixed problem for the system of equations of ideal relativistic hydrodynamics. Applicationes Mathematicae, Tome 25 (1999) no. 2, pp. 221-252. doi: 10.4064/am-25-2-221-252

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