题  目：Global in time numerical stability estimates for nonlinear PDEs

报告人：Professor Cheng Wang, University of Massachusetts, Dartmouth

时  间：2014年12月22日     下午 4:00-5:00

地  点：管理科研楼 1218室

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, the convexity splitting nature of the numerical scheme assures its non-increasing energy. Some long time numerical simulations will also be presented.

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