Our aim in this paper is to prove the existence and uniqueness of solutions for an Allen-Cahn type system based on a modification of the Ginzburg-Landau free energy proposed in [11]. In particular, the free energy contains an additional term called Willmore regularization and takes into account anisotropy effects.
@article{1179, title = {On an anisotropic Allen-Cahn system}, journal = {CUBO, A Mathematical Journal}, volume = {17}, year = {2015}, language = {en}, url = {http://dml.mathdoc.fr/item/1179} }
Miranville, Alain. On an anisotropic Allen-Cahn system. CUBO, A Mathematical Journal, Tome 17 (2015) 15 p. http://gdmltest.u-ga.fr/item/1179/