Kinetic solutions for nonlocal stochastic conservation laws
arXiv:1702.06654
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.
arXiv admin note: substantial text overlap with arXiv:1001.5415, arXiv:1611.00984 by other authors