Fundamental solutions and singular shocks in scalar conservation laws.

Título inglés	Fundamental solutions and singular shocks in scalar conservation laws.
Título español	Soluciones fundamentales y shocks singulares en leyes de conservación escalares.
Autor/es	Chasseigne, Emmanuel
Organización	Lab. Math. Univ. Tours, Tours, Francia
Revista	1139-1138
Publicación	2003, 16 (2): 443-463, 15 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	We study the existence and non-existence of fundamental solutions for the scalar conservation laws ut + f(u)x = 0, related to convexity assumptions on f. We also study the limits of those solutions as the initial mass goes to infinity. We especially prove the existence of so-called Friendly Giants and Infinite Shock Solutions according to the convexity of f, which generalize the explicit power case f(u) = um. We introduce an extended notion of solution and entropy criterion to allow infinite shocks in the theory, and the initial data also has to be understood in a generalized sense, since locally infinite measures appear.
Clasificación UNESCO	120220
Palabras clave español	Ecuaciones diferenciales hiperbólicas ; Teorema de existencia ; Solución débil ; Singularidades ; Discontinuidad ; Funciones convexas
Código MathReviews	MR2032927
Código Z-Math	Zbl 1057.35002
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