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: | , , |
|---|---|
| Formato: | artículo |
| Fecha de publicación: | 2017 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/18093 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/18093 |
| Access Level: | acceso abierto |
| Palavra-chave: | 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 |
| Resumo: | 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]. |
|---|