On an anisotropic Allen-Cahn system

• Alain Miranville ^[1]
  1. [1] University of Poitiers

     University of Poitiers

     Arrondissement de Poitiers, Francia

     
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 17, Nº. 2, 2015, págs. 73-88
• Idioma: inglés
• DOI: 10.4067/S0719-06462015000200005
• Enlaces
  • Texto completo
• Resumen
  • español

    Nuestro propósito en este trabajo es probar la existencia y unicidad de soluciones para un Sistema de tipo Allen-Cahn basados en una modificación de la energía libre Ginzburg-Landau propuesta en [11]. En particular, la energía libre contiene un término adicional llamado regularización de Willmore y considera efectos de anisotropía.

  • English

    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.

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