Rare events in the stochastic Camassa-Holm equation

Authors

  • Yong Chen Zhejiang Sci-Tech University
  • Hua Luo Zhejiang Sci-Tech University

DOI:

https://doi.org/10.21914/anziamj.v58i0.10990

Keywords:

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

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

Author Biographies

Yong Chen, Zhejiang Sci-Tech University

School of Sciences

Hua Luo, Zhejiang Sci-Tech University

School of Sciences

Published

2017-07-20

Issue

Section

ANZIAM-ZPAMS Joint Meeting