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中科院数学与系统科学研究院

华罗庚数学科学中心

数学研究所

Singularity and Homogenization of PDE 2018

 

 

报告人林芳华 教授 (纽约大学柯朗研究所)

  目:An Introduction to Elliptic Homogenization

  间:58 1430-1630

59 1430-1630

511 1430-1630

5月14日 09:30-11:30

5月15日 14:30-16:30

  点:数学院南楼N202

  要:

I shall started with some examples and problems that concern with partial differential equations in highly oscillating medium. Then we proceed with various classical results of G- and H-convergences, div-curl, oscillating test function and viscosity methods as well as correctors in the periodic case. Applications and further questions will be addressed at end.

报告人:Prof. Changyou Wang (Purdue University)

  目:On the general theory of blow ups for harmonic maps

  间:5月14日 09:30-11:30

  点:数学院南楼N208

  间:5月15日 14:30-16:30

  点:数学院南楼N204室

 

报告人:刘勇  教授 (华北电力大学)

  目:Allen-Cahn, Ginzburg-Landau equations and related integrable systems

  间:5月10日 14:30-16:30

  点:数学院南楼N208

  要:In this talk, we discuss the construction and analysis of entire solutions of equations including Allen-Cahn, Ginzburg-Landau and several integrable systems, such as Toda, KP-I and elliptic sine-Gordon. We show that these equations have interesting connections.

 

报告人徐强 博士(北京大学)

  目:Convergence rates for elliptic homogenization problems in Lipschitz domain

  间:516 1430-1630

  点:数学院南楼N202

  要:

In this talk, I plan to study convergence rates in $L^2$ norm for elliptic homogenization problems in Lipschitz domains. It involves some new weighted-type inequalities for the smoothing operator at scale $\varepsilon$, as well as, layer and co-layer type estimates, and the related details will be touched. In order to obtain a sharp result, a duality argument will be imposed. Here we do not require any smoothness assumption on the coefficients, and the main ideas may be extended to other models, such as Stokes systems and parabolic systems, arising in the periodic homogenization theory.

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