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RARE EVENTS IN THE STOCHASTIC CAMASSA–HOLM EQUATION

Published online by Cambridge University Press:  06 March 2017

YONG CHEN*
Affiliation:
School of Sciences, Zhejiang Sci-Tech University, Hangzhou 310018, China email youngchen329@126.com, luohuahill@163.com
HUA LUO
Affiliation:
School of Sciences, Zhejiang Sci-Tech University, Hangzhou 310018, China email youngchen329@126.com, luohuahill@163.com
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Abstract

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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 the regularized equation. Then, by stochastic equations exponentially equivalent to the corresponding laws, we get large deviations of the stochastic Camassa–Holm equation.

Type
Research Article
Copyright
© 2017 Australian Mathematical Society 

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