Some Properties of Solutions for the Sixth-Order Cahn-Hilliard-Type Equation
We study the initial boundary value problem for a sixth-order Cahn-Hilliard-type equation which describes the separation properties of oil-water mixtures, when a substance enforcing the mixing of the phases is added. We show that the solutions might not be classical globally. In other words, in some...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/414590 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832545631758974976 |
|---|---|
| author | Zhao Wang Changchun Liu |
| author_facet | Zhao Wang Changchun Liu |
| author_sort | Zhao Wang |
| collection | DOAJ |
| description | We study the initial boundary value problem for a sixth-order Cahn-Hilliard-type equation which describes the separation properties of oil-water mixtures, when a substance enforcing the mixing of the phases is added. We show that the solutions might not be classical globally. In other words, in some cases, the classical solutions exist globally, while in some other cases, such solutions blow up at a finite time. We also discuss the existence of global attractor. |
| format | Article |
| id | doaj-art-2b64791afd8f4027bbd7a781a4031d85 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2b64791afd8f4027bbd7a781a4031d852025-02-03T07:25:05ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/414590414590Some Properties of Solutions for the Sixth-Order Cahn-Hilliard-Type EquationZhao Wang0Changchun Liu1Department of Mathematics, Jilin University, Changchun 130012, ChinaDepartment of Mathematics, Jilin University, Changchun 130012, ChinaWe study the initial boundary value problem for a sixth-order Cahn-Hilliard-type equation which describes the separation properties of oil-water mixtures, when a substance enforcing the mixing of the phases is added. We show that the solutions might not be classical globally. In other words, in some cases, the classical solutions exist globally, while in some other cases, such solutions blow up at a finite time. We also discuss the existence of global attractor.http://dx.doi.org/10.1155/2012/414590 |
| spellingShingle | Zhao Wang Changchun Liu Some Properties of Solutions for the Sixth-Order Cahn-Hilliard-Type Equation Abstract and Applied Analysis |
| title | Some Properties of Solutions for the Sixth-Order Cahn-Hilliard-Type Equation |
| title_full | Some Properties of Solutions for the Sixth-Order Cahn-Hilliard-Type Equation |
| title_fullStr | Some Properties of Solutions for the Sixth-Order Cahn-Hilliard-Type Equation |
| title_full_unstemmed | Some Properties of Solutions for the Sixth-Order Cahn-Hilliard-Type Equation |
| title_short | Some Properties of Solutions for the Sixth-Order Cahn-Hilliard-Type Equation |
| title_sort | some properties of solutions for the sixth order cahn hilliard type equation |
| url | http://dx.doi.org/10.1155/2012/414590 |
| work_keys_str_mv | AT zhaowang somepropertiesofsolutionsforthesixthordercahnhilliardtypeequation AT changchunliu somepropertiesofsolutionsforthesixthordercahnhilliardtypeequation |