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A Bhatnagar-Gross-Krook Approximation to Stochastic Scalar Conservation Laws

Published 28 May 2013 in math.AP and math.PR | (1305.6450v1)

Abstract: We study a BGK-like approximation to hyperbolic conservation laws forced by a multiplicative noise. First, we make use of the stochastic characteristics method and establish the existence of a solution for any fi xed parameter $\varepsilon$. In the next step, we investigate the limit as $\varepsilon$ tends to 0 and show the convergence to the kinetic solution of the limit problem.

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