Scalar conservation laws with stochastic forcing

Published 29 Jan 2010 in math.AP and math.PR | (1001.5415v2)

Abstract: We show that the Cauchy Problem for a randomly forced, periodic multi-dimensional scalar first-order conservation law with additive or multiplicative noise is well-posed: it admits a unique solution, characterized by a kinetic formulation of the problem, which is the limit of the solution of the stochastic parabolic approximation.

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