On an anisotropic Allen-Cahn system

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DOI:

https://doi.org/10.4067/S0719-06462015000200005

Abstract

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
  • Alain Miranville Laboratoire de Mathématiques et Applications, Université de Poitiers, UMR CNRS 7348 - SP2MI, Boulevard Marie et Pierre Curie - Téléport 2, F-86962 Chasseneuil Futuroscope Cedex, France
  • Pages: 73-87
  • Date Published: 2015-06-01
  • Vol. 17 No. 2 (2015): CUBO, A Mathematical Journal

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Published

2015-06-01

How to Cite

[1]
A. Miranville, “On an anisotropic Allen-Cahn system”, CUBO, vol. 17, no. 2, pp. 73–87, Jun. 2015.

Issue

Vol. 17 No. 2 (2015): CUBO, A Mathematical Journal

Section

Articles