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Article Dans Une Revue Journal of Hyperbolic Differential Equations Année : 2013

THE CAUCHY PROBLEM FOR CONSERVATION LAWS WITH A MULTIPLICATIVE STOCHASTIC PERTURBATION

Résumé

We study the Cauchy problem for multi-dimensional nonlinear conservation laws with multiplicative stochastic perturbation. Using the concept of measure-valued solutions and Kruzhkov's entropy formulation, the existence and uniqueness of an entropy solution is established.
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Dates et versions

hal-04312912 , version 1 (28-11-2023)

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Caroline Bauzet, Guy Vallet, Petra Wittbold. THE CAUCHY PROBLEM FOR CONSERVATION LAWS WITH A MULTIPLICATIVE STOCHASTIC PERTURBATION. Journal of Hyperbolic Differential Equations, 2013, 09 (04), pp.661-709. ⟨10.1142/S0219891612500221⟩. ⟨hal-04312912⟩
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