Rare events in the stochastic Camassa-Holm equation

Yong Chen, Hua Luo

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


stochastic Camassa-Holm equation, regularization, exponentially equivalent, large deviations.



DOI: http://dx.doi.org/10.21914/anziamj.v58i0.10990



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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.