04-21【高洪俊】Zoom 随机分析系列报告

发布者:卢珊珊发布时间:2021-04-16浏览次数:608


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.