Kinetic solutions for nonlocal stochastic conservation laws

Published 22 Feb 2017 in math.AP | (1702.06654v1)

Abstract: This work is devoted to examine the uniqueness and existence of kinetic solutions for a class of scalar conservation laws involving a nonlocal super-critical diffusion operator and a multiplicative noise. Our proof for uniqueness is based upon the analysis on double variables method and the existence is enabled by a parabolic approximation.

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