Xia Chen : Intermittency for hyperbolic Anderson equations with time-independent Gaussian noise: Stratonovich regime

Posted by Cheng Ouyang , part of the Analysis and Applied Mathematics Seminar.

At

Feb. 6, 2023, 4 p.m.

In

1227 SEO

Abstract

Recently, a precise intermittency for the hyperbolic Anderson model $$\partial^2_tu(t,x)=\Delta u(t,x)+u(t,x)\dot{W}(x),$$ has been established in Itô-Skorohod regime. In this talk, we discuss the same problem in Stratonovich regime. Our approach provides new ingredient on representation and computation for Stratanovich moments. The work is based on a collaborative project with Hu, Yaozhong.