Exponential attractors for a Cahn-Hilliard model in bounded domains with permeable walls
| dc.contributor.author | Gal, Ciprian G. | |
| dc.date.accessioned | 2021-07-21T14:45:00Z | |
| dc.date.available | 2021-07-21T14:45:00Z | |
| dc.date.issued | 2006-11-16 | |
| dc.description.abstract | In a previous article [7], we proposed a model of phase separation in a binary mixture confined to a bounded region which may be contained within porous walls. The boundary conditions were derived from a mass conservation law and variational methods. In the present paper, we study the problem further. Using a Faedo-Galerkin method, we obtain the existence and uniqueness of a global solution to our problem, under more general assumptions than those in [7]. We then study its asymptotic behavior and prove the existence of an exponential attractor (and thus of a global attractor) with finite dimension. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 23 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Gal, C. G. (2006). Exponential attractors for a Cahn-Hilliard model in bounded domains with permeable walls. <i>Electronic Journal of Differential Equations, 2006</i>(143), pp. 1-23. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14016 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Phase separation | |
| dc.subject | Cahn-Hilliard equations | |
| dc.subject | Dynamic boundary conditions | |
| dc.subject | Exponential attractors | |
| dc.subject | Global attractors | |
| dc.subject | Laplace-Beltrami differential operators | |
| dc.title | Exponential attractors for a Cahn-Hilliard model in bounded domains with permeable walls | |
| dc.type | Article |