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arXiv · 1702.06654

Kinetic solutions for nonlocal stochastic conservation laws

Lv Guangying·Gao Hongjun·Wei Jinlong
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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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Lv Guangying, Gao Hongjun, Wei Jinlong. 2017-02-22. Kinetic solutions for nonlocal stochastic conservation laws. https://arxiv.org/abs/1702.06654

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