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

HAL (Le Centre pour la Communication Scientifique Directe)（2024）

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摘要

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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关键词

global dissipative martingale solutions,variational wave equation,stochastic

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