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].
| Authors: | , , |
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| Format: | article |
| Publication Date: | 2017 |
| Country: | España |
| Institution: | Universidad Complutense de Madrid (UCM) |
| Repository: | Docta Complutense |
| Language: | English |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/18093 |
| Online Access: | https://hdl.handle.net/20.500.14352/18093 |
| Access Level: | Open access |
| Keyword: | 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 |
| Summary: | 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]. |
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