Well-posedness for one-dimensional anisotropic Cahn-Hilliard and Allen-Cahn systems

Our aim is to prove the existence and uniqueness of solutions for one-dimensional Cahn-Hilliard and Allen-Cahn type equations based on a modification of the Ginzburg-Landau free energy proposed in [8]. In particular, the free energy contains an additional term called Willmore regularization and...

Full description

Bibliographic Details
Main Authors: Ahmad Makki, Alain Miranville
Format: Article
Published: Texas State University 2015-01-01
Series:Electronic Journal of Differential Equations
Online Access:http://ejde.math.txstate.edu/Volumes/2015/04/abstr.html