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.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 
@article{10_4064_am_25_2_221_252,
     author = {Joanna Renc{\l}awowicz and Wojciech Zaj\k{a}czkowski},
     title = {Local existence of solutions of the mixed problem for the system of equations of ideal relativistic hydrodynamics},
     journal = {Applicationes Mathematicae},
     pages = {221--252},
     publisher = {mathdoc},
     volume = {25},
     number = {2},
     year = {1999},
     doi = {10.4064/am-25-2-221-252},
     zbl = {0901.35056},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/am-25-2-221-252/}
}
TY  - JOUR
AU  - Joanna Rencławowicz
AU  - Wojciech Zajączkowski
TI  - Local existence of solutions of the mixed problem for the system of equations of ideal relativistic hydrodynamics
JO  - Applicationes Mathematicae
PY  - 1999
SP  - 221
EP  - 252
VL  - 25
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/am-25-2-221-252/
DO  - 10.4064/am-25-2-221-252
LA  - en
ID  - 10_4064_am_25_2_221_252
ER  - 
%0 Journal Article
%A Joanna Rencławowicz
%A Wojciech Zajączkowski
%T Local existence of solutions of the mixed problem for the system of equations of ideal relativistic hydrodynamics
%J Applicationes Mathematicae
%D 1999
%P 221-252
%V 25
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/am-25-2-221-252/
%R 10.4064/am-25-2-221-252
%G en
%F 10_4064_am_25_2_221_252
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. http://geodesic.mathdoc.fr/articles/10.4064/am-25-2-221-252/

Cité par Sources :