报告题目 (Title)：Global in time numerical stability for nonlinear PDEs. （非线性偏微分方程时间全局的数值稳定性）
报告人 (Speaker)： 王成 教授（University of Massachusetts Dartmouth）
报告时间 (Time)：2023年7月22日(周六） 10:00 -11:00am
报告地点 (Place)：上海大学宝山校区A201
邀请人(Inviter)：段成华
报告摘要：Uniform in time numerical stability for certain nonlinear PDEs, such as incompressible fluid flow and a few bi-stable gradient flow models, are presented in this talk. For 2-D incompressible Navier-Stokes equation, a global bound in L^2 and H^m norms for the numerical solution is obtained. For the bi-stable gradient flows, such as the epitaxial thin film growth with slope selection, the convexity splitting nature of the numerical scheme assures its non-increasing energy. Some long time numerical simulations will also be presented.