Variational Approaches to Three-Phase Standing and Traveling Waves of Reaction-Diffusion-Gradient Systems with a Triple-Well Potential

博士 === 國立臺灣大學 === 數學研究所 === 107 === In this paper we aim to find standing and traveling wave solutions, i.e. w(z, y) = u(x, y, t) with z = x − ct, to the reaction-diffusion gradient system with a triple- well potential ∂tu = ∆u − ∇W(u) on an entire domain R2 or a cylindrical domain R×(−l,l). Firstly...

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Bibliographic Details
Main Authors: Hung-Yu Chien, 簡鴻宇
Other Authors: 陳俊全
Format: Others
Language:en_US
Published: 2019
Online Access:http://ndltd.ncl.edu.tw/handle/5x7h4w