On an anisotropic Allen-Cahn system

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...

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Autor principal:	Miranville,Alain
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2015
Materias:	Allen-Cahn equation Willmore regularization anisotropy effects well- posedness
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000200005
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spelling	oai:scielo:S0719-064620150002000052018-10-08On an anisotropic Allen-Cahn systemMiranville,Alain Allen-Cahn equation Willmore regularization anisotropy effects well- posedness 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.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.17 n.2 20152015-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000200005en10.4067/S0719-06462015000200005
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Allen-Cahn equation Willmore regularization anisotropy effects well- posedness
spellingShingle	Allen-Cahn equation Willmore regularization anisotropy effects well- posedness Miranville,Alain On an anisotropic Allen-Cahn system
description	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.
author	Miranville,Alain
author_facet	Miranville,Alain
author_sort	Miranville,Alain
title	On an anisotropic Allen-Cahn system
title_short	On an anisotropic Allen-Cahn system
title_full	On an anisotropic Allen-Cahn system
title_fullStr	On an anisotropic Allen-Cahn system
title_full_unstemmed	On an anisotropic Allen-Cahn system
title_sort	on an anisotropic allen-cahn system
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2015
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000200005
work_keys_str_mv	AT miranvillealain onananisotropicallencahnsystem
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On an anisotropic Allen-Cahn system

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