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arXiv · 1601.05547

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

Nathalie Ayi
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Abstract

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.

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Nathalie Ayi. 2016-01-21. High-Field Limit from a Stochastic BGK Model to a Scalar Conservation Law with Stochastic Forcing. https://arxiv.org/abs/1601.05547

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