Global dissipative martingale solutions to the variational wave equation with stochastic forcing
Analysis of PDEs
2024-09-30 v2
Abstract
We consider the variational wave equation in one-dimensional space with stochastic forcing by an additive noise. Blow-up of local smooth solutions is established, and global existence is proved in the class of weak martingale solutions.
Keywords
Cite
@article{arxiv.2403.03034,
title = {Global dissipative martingale solutions to the variational wave equation with stochastic forcing},
author = {Billel Guelmame and Julien Vovelle},
journal= {arXiv preprint arXiv:2403.03034},
year = {2024}
}