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演講者:黃志強 博士 (國立臺灣大學數學系)

演講者: 黃志強 博士(國立臺灣大學數學系)


標題:Boundary Conditions for Cylindrical Traveling Waves

時間:5月04日下午1點30分

地點:校本部第二綜合大樓8樓 B808 教室

摘要: The main purpose of this talk is to discuss the effect of the Dirichlet or Neumann boundary condition for traveling waves of reaction-diffusion equations in a cylinder. At the beginning, we shall introduce some different properties for these two conditions in a bounded domain, such as symmetry and stability. In addition, as the diffusion for the Dirichlet problem approaches to zero, the solution will be close to one solution for the Neumann problem in some sense. But, the concertation of solutions induces a layer near the boundary at the same time. Based on a variational method, we also discuss such a phenomenon for traveling waves in a cylinder. Applying this result, we can construct a cylindrical traveling waves for a triple-well potential problem.

 

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