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Currently displaying 1 – 3 of 3

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Sur un problème parabolique-elliptique

Philippe Benilan; Petra Wittbold — 1999

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Sur un problème parabolique-elliptique

Philippe Benilan; Petra Wittbold — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

We prove existence (uniqueness is easy) of a weak solution to a boundary value problem for an equation like ${(v - 1)}_{t}^{+} = v_{x x} + F {(v)}_{x}$ where the function $F : ℝ \to ℝ$ is only supposed to be locally lipschitz continuous. In order to replace the lack of compactness in on , we use nonlinear semigroup theory.

Renormalized entropy solutions of scalar conservation laws

Philippe Bénilan; Jose Carrillo; Petra Wittbold — 2000

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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