WELL-POSEDNESS RESULT FOR AN HYPERBOLIC SCALAR CONSERVATION LAW WITH A STOCHASTIC FORCE USING A FINITE VOLUME APPROXIMATION

Caroline Bauzet (1) , Vincent Castel , Julia Charrier (2) , Thierry Gallouët (2)

1 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]
2 I2M - Institut de Mathématiques de Marseille

Mots clés: Stochastic PDE; multiplicative noise; finite volume method; monotone scheme; entropy solution; doubling variable method; Young measures; measure-valued entropy solution. Mathematics Subject Classifications (2010): 35L60; 60H15

Domaines: Equations aux dérivées partielles [math.AP]; Analyse numérique [math.NA]

Caroline Bauzet, Vincent Castel, Julia Charrier, Thierry Gallouët. WELL-POSEDNESS RESULT FOR AN HYPERBOLIC SCALAR CONSERVATION LAW WITH A STOCHASTIC FORCE USING A FINITE VOLUME APPROXIMATION. ENUMATH2019, Sep 2019, Egmond aan Zee, Netherlands. ⟨hal-03040656⟩