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. 
Nathalie Ayi (JAD)
math.AP math.PR