Traveling wave solutions to the Allen-Cahn equation

Autor: Chao-Nien Chen, Vittorio Coti Zelati
Přispěvatelé: Chen, Chao-Nien, Coti Zelati, Vittorio
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Popis: For the Allen-Cahn equation, it is well known that there is a monotone standing wave joining with the balanced wells of the potential. In this paper we study the existence of traveling wave solutions for the Allen-Cahn equation on an infinite channel. Such traveling wave solutions possess a large number of oscillation and they are obtained with the aid of variational arguments.
Databáze: OpenAIRE