Kinetic solutions for nonlocal stochastic conservation laws
Analysis of PDEs
2017-02-23 v1
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.
Keywords
Cite
@article{arxiv.1702.06654,
title = {Kinetic solutions for nonlocal stochastic conservation laws},
author = {Lv Guangying and Gao Hongjun and Wei Jinlong},
journal= {arXiv preprint arXiv:1702.06654},
year = {2017}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1001.5415, arXiv:1611.00984 by other authors