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High-Field Limit from a Stochastic BGK Model to a Scalar Conservation Law with Stochastic Forcing

We study the derivation of a scalar conservation law with stochastic forcing starting from a stochastic BGK model with a high-field scaling. We prove the convergence to a new kinetic formulation where appears a modified Maxwellian. We deduce from it the existence of a weak solution to the scalar conservation law with stochastic forcing. We establish that this solution satisfies some Krushkov-like entropy relations.

preprint2016arXivOpen access
Nathalie Ayi
math.APmath.PR
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Nathalie Ayi

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