Global dissipative martingale solutions to the variational wave equation with stochastic forcing

2024/03/05 by Guelmame, Billel, Vovelle, Julien · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2403.03034

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.

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