北京科学与工程计算研究院学术报告之九十七

报告题目:Global in time numerical stability for nonlinear PDEs


报告人:Cheng Wang


单位:Department of Mathematics University of Massachusetts Dartmouth


报告时间: December 25, 2018, 10:30-11:30, M842


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.