Convergence to Equilibrium for the Cahn-Hilliard Equation with Wentzell Boundary Condition
| dc.creator | Wu, Hao | |
| dc.date | 2007-05-23 | |
| dc.date.accessioned | 2026-07-07T09:31:51Z | |
| dc.date.available | 2026-07-07T09:31:51Z | |
| dc.description | In this paper we consider the Cahn-Hilliard equation endowed with Wentzell boundary condition which is a model of phase separation in a binary mixture contained in a bounded domain with permeable wall. Under the assumption that the nonlinearity is analytic with respect to unknown dependent function, we prove the convergence of a global solution to an equilibrium as time goes to infinity by means of a suitable Łojasiewicz-Simon type inequality with boundary term. Estimates of convergence rate are also provided. | |
| dc.description | 25 pages | |
| dc.identifier | https://arxiv.org/abs/0705.3362 | |
| dc.identifier | http://arxiv.org/abs/0705.3362 | |
| dc.identifier | Asymptotic Analysis, 54(1&2) (2007), 71?C92. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158608 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35B40,80A22 | |
| dc.title | Convergence to Equilibrium for the Cahn-Hilliard Equation with Wentzell Boundary Condition | |
| dc.type | text |