Fall 2021

Date: Thursday, Nov 18, 2021

Time: 2:30 – 3:30 PM 

Location: MP3314

Talk#1

Speaker: Dr. Yi Hu (Georgia Southern University)

Title:  Rotational Nonlinear Schrödinger Equation with Repulsive Potential

Abstract: We will introduce the rotational NLS with repulsive potential -|x|^2, and we will give a transform that connects this equation to the classic NLS. 

Then we can obtain some results in global well-posedness and blowup rates.

Talk#2

Speaker: Dr. Shijun Zheng (Georgia Southern University)

Title:  A Geometric PDE 

Abstract: Starting with a time-dependent PDE on a Riemannian manifold, I shall show how to convert it to a simpler PDE on an Euclidean space induced by stress energy tensor. 

Then it might allow us to obtain scattering and singular solutions as well as vortex solitons. Such scheme is furnished with Klein-Gordon and nonlinear Schrödinger equations on a hyperbolic space.  Numerical simulations are provided.