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Nonlinear Phenomena in Evolutionary Partial Differential Equations
 
15:30 - 17:30, October 20, 2020 (Tuesday)
R440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
Traveling Waves for Reaction-diffusion Equations with a Tristable Nonlinearity
Chih-Chiang Huang (National Taiwan University)

Abstract:

In the talk, I will introduce a variational method to construct 1-dimensional traveling waves of reaction-diffusion equations with a cubic nonlinearity, first. Based on this method, I also study the wave interaction of two traveling waves for a quintic nonlinearity in a cylindrical domain. In addition, the exact multiplicity of solutions of a elliptic equation with a quintic nonlinearity will be included in this talk.


 

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