Abstract

MIRANVILLE, Alain. On an anisotropic Allen-Cahn system. Cubo [online]. 2015, vol.17, n.2, pp.73-88. ISSN 0719-0646.  http://dx.doi.org/10.4067/S0719-06462015000200005.

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.

Keywords : Allen-Cahn equation; Willmore regularization; anisotropy effects; well- posedness.

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