Well-posedness by noise for scalar conservation laws
Analysis of PDEs
2019-05-07 v2 Probability
Abstract
We consider stochastic scalar conservation laws with spatially inhomogeneous flux. The regularity of the flux function with respect to its spatial variable is assumed to be low, so that entropy solutions are not necessarily unique in the corresponding deterministic scalar conservation law. We prove that perturbing the system by noise leads to well-posedness.
Keywords
Cite
@article{arxiv.1701.05393,
title = {Well-posedness by noise for scalar conservation laws},
author = {Benjamin Gess and Mario Maurelli},
journal= {arXiv preprint arXiv:1701.05393},
year = {2019}
}
Comments
33 pages