学术报告

【online】Summer 2020 online talks on partial differential equations

发布人:发布时间: 2020-07-23

字体大小: 【小】 【中】 【大】

Summer 2020 online talks on partial differential equations

  

报告方式:Zoom会议室 会议ID: 654 3755 6390  密码: 20200723

 

组织者:陈学长、李军  老师

 

1

 

题目: Some geometrical properties of the harmonic functions arising from the convexity

 

报告人:麻希南  (中国科技大学)

 

时间: 2020728日  9:30-10:20

 

摘要: We introduce two superharmonic functions: the first one comes from the Gaussian curvature for the convex level sets of harmonic functions, and the other superharmonic function arises from the convexity for the Green function on convex domain. From the superharmonicity we can get some geometric consequences. This is the joint work with Zhang Wei.

 

2

 

题目: Local and global existence of pathwise solution for the stochastic Boussinesq equations with multiplicative noises

 

报告人:张挺  (浙江大学)

 

时间: 202072810:30-11:20

 

摘要: In this talk, we consider the stochastic Boussinesq equations in $\mathbb{T}^d$ with the nonlinear multiplicative noises. At first, we establish the local existence of pathwise solutions. Then, we establish the global existence of pathwise solution when the noises are non-degenerate, which show that  the linear multiplicative noises would provide a regularizing effect: the global existence of solution occurs with high probability if the initial data are sufficiently small, or if the noise coefficients are sufficiently large. (Based on the work with Lihuai Du)

 

The upcoming talks will be updated on http://maths.nju.edu.cn/~xzchen/Summer 2020.pdf .