Well-posedness by noise for scalar conservation laws
- Authors: Benjamin Gess, Mario Maurelli
- Preprint year: 2017
- First public date: 2017-01-19
- arXiv: 1701.05393
- Status: Published
- Publication type: Journal article
- Publication year: 2018
- Journal: Communications in partial differential equations, 43 (2018) 12, pp. 1702-1736
- DOI: 10.1080/03605302.2018.1535604
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.