- Tytuł:
- Local existence of solutions of the mixed problem for the system of equations of ideal relativistic hydrodynamics
- Autorzy:
-
Rencławowicz, Joanna
Zajączkowski, Wojciech - Powiązania:
- https://bibliotekanauki.pl/articles/1339037.pdf
- Data publikacji:
- 1998
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
relativistic hydrodynamics
symmetrization
existence
system of hyperbolic equations of the first order
initial-boundary value problem - Opis:
- 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.
- Źródło:
-
Applicationes Mathematicae; 1998-1999, 25, 2; 221-252
1233-7234 - Pojawia się w:
- Applicationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki