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Rare events in the stochastic Camassa-Holm equation

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We investigate rare or small probability events in the context of large deviations of the stochastic Camassa–Holm equation. By the weak convergence approach and regularization, we get large deviations of… Click to show full abstract

We investigate rare or small probability events in the context of large deviations of the stochastic Camassa–Holm equation. By the weak convergence approach and regularization, we get large deviations of the regularized equation. Then, by stochastic equations exponentially equivalent to the corresponding laws, we get large deviations of the stochastic Camassa–Holm equation. doi:10.1017/S1446181116000353

Keywords: camassa holm; stochastic camassa; holm equation; equation; large deviations

Journal Title: Anziam Journal
Year Published: 2017

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