Slow motion for one-dimensional nonlinear damped hyperbolic Allen-Cahn systems

We consider a nonlinear damped hyperbolic reaction-diffusion system in a bounded interval of the real line with homogeneous Neumann boundary conditions and we study the metastable dynamics of the solutions. Using an "energy approach" introduced by Bronsard and Kohn [11] to study slow m...

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Bibliographic Details
Main Author: Raffaele Folino
Format: Article
Language:English
Published: Texas State University 2019-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2019/113/abstr.html