Título original |
Compacité par compensation pour une classe de systèmes hyperboliques de p ≥ 3 lois de conservation. |
Título inglés |
Compensated compactness for a class of hyperbolic systems of p ≥ 3 conservation laws |
Título español |
Compacidad por compensación para una clase de sistemas hiperbólicos de p ≥ 3 leyes de conservación. |
Autor/es |
Benzoni-Gavage, Sylvie ; Serre, Denis |
Organización |
Cent. Nat. Rech. Sci. (CNRS), Lyon, Francia;Inst. Univ. France [CNRS], Lyon, Francia |
Revista |
0213-2230 |
Publicación |
1994, 10 (3): 557-579, 12 Ref. |
Tipo de documento |
articulo |
Idioma |
Francés |
Resumen inglés |
We are concerned with a strictly hyperbolic system of conservation laws ut + f(u)x = 0, where u runs in a region Ω of Rp, such that two of the characteristic fields are genuinely non-linear whereas the other ones are of Blake Temple's type. We begin with the case p = 3 and show, under more or less technical assumptions, that the approximate solutions (uε)ε>0 given either by the vanishing viscosity method or by the Godunov scheme converge to weak entropy solutions as ε goes to 0. The first step consists in using techniques from the Blake Temple systems lying in the separate works of Leveque-Temple and Serre. Then we apply a compensated compactness method and the theory of Di Perna on 2 x 2 genuinely non-linear systems. Eventually the proof is extended to the general case p > 3. |
Clasificación UNESCO |
220403 |
Palabras clave español |
Corriente de fluidos ; Flujos bifásicos ; Problemas hiperbólicos ; Gas de petróleo ; Métodos fisicomatemáticos |
Código MathReviews |
MR1308703 |
Código Z-Math |
Zbl 0834.35081 |
Acceso al artículo completo |