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Renormalized entropy solutions of scalar conservation laws.


Bénilan, Philippe y Carrillo Menéndez, José y Wittbold, Petra (2002) Renormalized entropy solutions of scalar conservation laws. Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV, 29 (2). pp. 313-327. ISSN 0391-173X

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A scalar conservation law ut +div (u) = f is considered with the initial datum u|t=0 = u0 2 L1 loc(RN) and f 2 L1
loc(RN ×(0, T)) only. In this case the classical Krushkov condition can make no sense because of unboundedness of u, if no growth condition on is assumed. This obstacle
is overcome by introducing the so-called renormalized entropy solution generalizing the classical one. Existence and uniqueness of such a solution is established.

Tipo de documento:Artículo
Palabras clave:Nonlinear semigroup theory; Cauchy problem; mild solutions; Renormalized ntropy sub- and super-solutions
Materias:Ciencias > Matemáticas > Ecuaciones diferenciales
Código ID:15861

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Última Modificación:06 Feb 2014 10:33

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