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].
| Autores: | ; ; |
|---|---|
| Tipo de documento: | Artículo |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Lenguaje: | Inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/18093 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/18093 |
| Nivel de acceso: | 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 |
| _version_ | 1878740244337000448 |
|---|---|
| author | Bui, L.T.T. |
| author2 | Dao, A. N Díaz Díaz, Jesús Ildefonso |
| author2_role | author author |
| author_browse | Bui, L.T.T. Dao, A. N Díaz Díaz, Jesús Ildefonso |
| author_facet | Bui, L.T.T. Dao, A. N Díaz Díaz, Jesús Ildefonso |
| author_role | author |
| collection | Docta Complutense |
| 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]. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_cfa7fccdfa455ea845e5b0bb8cd8204a |
| institution | Universidad Complutense de Madrid (UCM) |
| instname_str | Universidad Complutense de Madrid (UCM) |
| language | eng |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:docta.ucm.es:20.500.14352/18093 |
| publishDate | 2017 |
| publishDateSort | 2017 |
| publisher | Texas State University, Department of Mathematics |
| publisherStr | Texas State University, Department of Mathematics |
| reponame_str | Docta Complutense |
| spelling | Critical case for the viscous Cahn-Hilliard equation Bui, L.T.T. Dao, A. N Díaz Díaz, Jesús Ildefonso 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 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]. Texas State University, Department of Mathematics https://hdl.handle.net/20.500.14352/18093 |
| 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 |
| title | 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_short | Critical case for the viscous Cahn-Hilliard equation |
| title_sort | Critical case for the viscous Cahn-Hilliard equation |
| 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 |
| topic_facet | 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 |
| url | https://hdl.handle.net/20.500.14352/18093 |