Numerical Study of Some Logarithmic Nonlinear PDEs



主讲人:王立联  新加坡南洋理工大学教授




地点:腾讯会议 776 544 183




主讲人介绍:王立联,新加坡南洋理工大学教授,博士生导师。主要研究领域为解偏微分方程数值解,电磁学中的高性能计算方法等。在SIAM J. Numer. Anal., SIAM  J. Appl. Math., SIAM J. Sci. Comput., Math.  Comp.等国际知名计算数学期刊上发表论文100余篇,并且由Springer出版合著《SPECTRAL METHODS: Algorithms,  Analysis and Applications》。


内容介绍:The presence of logarithmic nonlinear term of the form f(u)=u log(|u|) in  parabolic PDEs or Schrodinger’s equations brings about significant challenges in  both numerical discretization and analysis. The nonlinear term is  non-differentiable but Holder continuous at u=0, and the underlying energy does  not have a definite sign. Such PDEs exhibit interesting dynamics that may not  possess for general PDEs with smooth nonlinear terms. In this talk, we shall  present our recent attempts for such problems and introduce some new tools for  the analysis.  

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