Critical case for the viscous Cahn-Hilliard equation

We prove the existence of solutions of the viscous Cahn-Hilliard equation in whole domain when the nonlinear term in the second order diffusion grows as uq for the critical case when N >= 3. Our results improve the ones in [9, 12].

Detalles Bibliográficos
Autores: Bui, L.T.T., Dao, A. N, Díaz Díaz, Jesús Ildefonso
Tipo de recurso: artículo
Fecha de publicación:2017
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/18093
Acceso en línea:https://hdl.handle.net/20.500.14352/18093
Access Level:acceso abierto
Palabra clave:517
517.5
Forward-backward parabolic equations
Singular limits
Pseudo-parabolic regularization
Cahn-Hilliard regularization
Viscous Cahn-Hilliard equation
Análisis matemático
Funciones (Matemáticas)
1202 Análisis y Análisis Funcional
id ES_cfa7fccdfa455ea845e5b0bb8cd8204a
oai_identifier_str oai:docta.ucm.es:20.500.14352/18093
network_acronym_str ES
network_name_str España
repository_id_str
spelling Critical case for the viscous Cahn-Hilliard equationBui, L.T.T.Dao, A. NDíaz Díaz, Jesús Ildefonso517517.5Forward-backward parabolic equationsSingular limitsPseudo-parabolic regularizationCahn-Hilliard regularizationViscous Cahn-Hilliard equationAnálisis matemáticoFunciones (Matemáticas)1202 Análisis y Análisis Funcional1202 Análisis y Análisis FuncionalWe prove the existence of solutions of the viscous Cahn-Hilliard equation in whole domain when the nonlinear term in the second order diffusion grows as uq for the critical case when N >= 3. Our results improve the ones in [9, 12].Texas State University, Department of MathematicsUniversidad Complutense de Madrid20172017-01-0120172017-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/18093reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/180932026-06-02T12:44:21Z
dc.title.none.fl_str_mv Critical case for the viscous Cahn-Hilliard equation
title Critical case for the viscous Cahn-Hilliard equation
spellingShingle Critical case for the viscous Cahn-Hilliard equation
Bui, L.T.T.
517
517.5
Forward-backward parabolic equations
Singular limits
Pseudo-parabolic regularization
Cahn-Hilliard regularization
Viscous Cahn-Hilliard equation
Análisis matemático
Funciones (Matemáticas)
1202 Análisis y Análisis Funcional
1202 Análisis y Análisis Funcional
title_short Critical case for the viscous Cahn-Hilliard equation
title_full Critical case for the viscous Cahn-Hilliard equation
title_fullStr Critical case for the viscous Cahn-Hilliard equation
title_full_unstemmed Critical case for the viscous Cahn-Hilliard equation
title_sort Critical case for the viscous Cahn-Hilliard equation
dc.creator.none.fl_str_mv Bui, L.T.T.
Dao, A. N
Díaz Díaz, Jesús Ildefonso
author Bui, L.T.T.
author_facet Bui, L.T.T.
Dao, A. N
Díaz Díaz, Jesús Ildefonso
author_role author
author2 Dao, A. N
Díaz Díaz, Jesús Ildefonso
author2_role author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 517
517.5
Forward-backward parabolic equations
Singular limits
Pseudo-parabolic regularization
Cahn-Hilliard regularization
Viscous Cahn-Hilliard equation
Análisis matemático
Funciones (Matemáticas)
1202 Análisis y Análisis Funcional
1202 Análisis y Análisis Funcional
topic 517
517.5
Forward-backward parabolic equations
Singular limits
Pseudo-parabolic regularization
Cahn-Hilliard regularization
Viscous Cahn-Hilliard equation
Análisis matemático
Funciones (Matemáticas)
1202 Análisis y Análisis Funcional
1202 Análisis y Análisis Funcional
description We prove the existence of solutions of the viscous Cahn-Hilliard equation in whole domain when the nonlinear term in the second order diffusion grows as uq for the critical case when N >= 3. Our results improve the ones in [9, 12].
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-01-01
2017
2017-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/18093
url https://hdl.handle.net/20.500.14352/18093
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Texas State University, Department of Mathematics
publisher.none.fl_str_mv Texas State University, Department of Mathematics
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869420102896582656
score 15,300724

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