Large time behavior of a Cahn-Hilliard-Boussinesq system on a bounded domain
We study the asymptotic behavior of classical solutions to an initial-boundary value problem (IBVP) for a coupled Cahn-Hilliard-Boussinesq system on bounded domains with large initial data. A sufficient condition is established under which the solutions decay exponentially to constant states as...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2011-04-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2011/46/abstr.html |
| _version_ | 1818807137515601920 |
|---|---|
| author | Kun Zhao |
| author_facet | Kun Zhao |
| author_sort | Kun Zhao |
| collection | DOAJ |
| description | We study the asymptotic behavior of classical solutions to an initial-boundary value problem (IBVP) for a coupled Cahn-Hilliard-Boussinesq system on bounded domains with large initial data. A sufficient condition is established under which the solutions decay exponentially to constant states as time approaches infinity. |
| first_indexed | 2024-12-18T19:20:53Z |
| format | Article |
| id | doaj.art-e8092bdbe230432b93cc29a941763acc |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-18T19:20:53Z |
| publishDate | 2011-04-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-e8092bdbe230432b93cc29a941763acc2022-12-21T20:56:01ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912011-04-01201146,121Large time behavior of a Cahn-Hilliard-Boussinesq system on a bounded domainKun ZhaoWe study the asymptotic behavior of classical solutions to an initial-boundary value problem (IBVP) for a coupled Cahn-Hilliard-Boussinesq system on bounded domains with large initial data. A sufficient condition is established under which the solutions decay exponentially to constant states as time approaches infinity.http://ejde.math.txstate.edu/Volumes/2011/46/abstr.htmlCahn-Hilliard-Boussinesq equationsclassical solutionasymptotic behavior |
| spellingShingle | Kun Zhao Large time behavior of a Cahn-Hilliard-Boussinesq system on a bounded domain Electronic Journal of Differential Equations Cahn-Hilliard-Boussinesq equations classical solution asymptotic behavior |
| title | Large time behavior of a Cahn-Hilliard-Boussinesq system on a bounded domain |
| title_full | Large time behavior of a Cahn-Hilliard-Boussinesq system on a bounded domain |
| title_fullStr | Large time behavior of a Cahn-Hilliard-Boussinesq system on a bounded domain |
| title_full_unstemmed | Large time behavior of a Cahn-Hilliard-Boussinesq system on a bounded domain |
| title_short | Large time behavior of a Cahn-Hilliard-Boussinesq system on a bounded domain |
| title_sort | large time behavior of a cahn hilliard boussinesq system on a bounded domain |
| topic | Cahn-Hilliard-Boussinesq equations classical solution asymptotic behavior |
| url | http://ejde.math.txstate.edu/Volumes/2011/46/abstr.html |
| work_keys_str_mv | AT kunzhao largetimebehaviorofacahnhilliardboussinesqsystemonaboundeddomain |