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Nonlinear Phenomena in Evolutionary Partial Differential Equations
 
15:30 - 17:30, September 22, 2020 (Tuesday)
R440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
Stability of Traveling Wave Solution of 3 Species Competition Model
Shun-Chieh Wang (National Taiwan University)

Abstract:

The spectral theory is a basic technique to study the stability of ODE or PDE solutions. The key is to find the essential spectrum. In this talk, I will follow paper [1] to introduce the basic technique which help us to characterize the essential spectrum, and prove the stability of TWS in 3 species competition model.
 
Reference:
[1] Chueh-Hsin Chang, The stability of traveling wave solutions for a diffusive competition system of three species. J.Math.Anal.Appl.459(2018) 564-576
[2] JS Guo, Y Wang, CH Wu, CC Wu, The minimal speed of traveling wave solutions for a diffusive three species competition system. Taiwan J.Math (2015)
[3] Kapitula Todd and Promislow Keith, Spectral and Dynamical Stability of Nonlinear Waves. Springer (2013)


 

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