题目:Wave-breaking and moderate deviations of the stochastic Camassa-Holm equation with pure jump noises
报告人:高洪俊教授 东南大学
报告时间:4月21日(周三)15:00
报告地点:zoom ID: 91279914072, 密码:996328
摘要:
In this paper, the stochastic Camassa-Holm equation with pure jump noise in the Marcus form is considered.
Firstly, the equation is derived by the stochastic variation method. Then, wave-breaking is shown to occur in expectation.
Furthermore, the global existence is obtained under suitable initial conditions.
Finally, a moderate deviation principle is proved by the regularized equation, the weak convergence method and an exponential equivalence of the probability measures.