Ahmad Makki, Alain Miranville
Abstract:
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 takes into account strong anisotropy effects.
Submitted December 20, 2014. Published January 5, 2015.
Math Subject Classifications: 35B45, 35K55.
Key Words: Cahn-Hilliard equation; Allen-Cahn equation; well-posedness;
Willmore regularization.
Show me the PDF file (252 KB), TEX file, and other files for this article.
| Ahmad Makki Université de Poitiers Laboratoire de Mathématiques et Applications UMR CNRS 7348 - SP2MI, Boulevard Marie et Pierre Curie - Téléport 2 F-86962 Chasseneuil Futuroscope Cedex, France email: ahmad.makki@math.univ-poitiers.fr |
| Alain Miranville Université de Poitiers Laboratoire de Mathématiques et Applications UMR CNRS 7348 - SP2MI, Boulevard Marie et Pierre Curie - Téléport 2 F-86962 Chasseneuil Futuroscope Cedex, France email: alain.miranville@math.univ-poitiers.fr |
Return to the EJDE web page