Blow-Up Criteria of Smooth Solutions for the Cahn-Hilliard-Boussinesq System with Zero Viscosity in a Bounded Domain
We prove that a smooth solution of the 3D Cahn-Hilliard-Boussinesq system with zero viscosity in a bounded domain breaks down if a certain norm of vorticity blows up at the same time. Here, this norm is weaker than bmo-norm.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/802876 |
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| _version_ | 1849411892355792896 |
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| author | Yong Zhou Jishan Fan |
| author_facet | Yong Zhou Jishan Fan |
| author_sort | Yong Zhou |
| collection | DOAJ |
| description | We prove that a smooth solution of the 3D Cahn-Hilliard-Boussinesq system with zero viscosity in a bounded domain breaks down if a certain norm of vorticity blows up at the same time. Here, this norm is weaker than bmo-norm. |
| format | Article |
| id | doaj-art-58bcdee60f3348d4804cbe6c81fde854 |
| 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-58bcdee60f3348d4804cbe6c81fde8542025-08-20T03:34:37ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/802876802876Blow-Up Criteria of Smooth Solutions for the Cahn-Hilliard-Boussinesq System with Zero Viscosity in a Bounded DomainYong Zhou0Jishan Fan1Department of Mathematics, Zhejiang Normal University, Jinhua 321004, ChinaDepartment of Applied Mathematics, Nanjing Forestry University, Nanjing 210037, ChinaWe prove that a smooth solution of the 3D Cahn-Hilliard-Boussinesq system with zero viscosity in a bounded domain breaks down if a certain norm of vorticity blows up at the same time. Here, this norm is weaker than bmo-norm.http://dx.doi.org/10.1155/2012/802876 |
| spellingShingle | Yong Zhou Jishan Fan Blow-Up Criteria of Smooth Solutions for the Cahn-Hilliard-Boussinesq System with Zero Viscosity in a Bounded Domain Abstract and Applied Analysis |
| title | Blow-Up Criteria of Smooth Solutions for the Cahn-Hilliard-Boussinesq System with Zero Viscosity in a Bounded Domain |
| title_full | Blow-Up Criteria of Smooth Solutions for the Cahn-Hilliard-Boussinesq System with Zero Viscosity in a Bounded Domain |
| title_fullStr | Blow-Up Criteria of Smooth Solutions for the Cahn-Hilliard-Boussinesq System with Zero Viscosity in a Bounded Domain |
| title_full_unstemmed | Blow-Up Criteria of Smooth Solutions for the Cahn-Hilliard-Boussinesq System with Zero Viscosity in a Bounded Domain |
| title_short | Blow-Up Criteria of Smooth Solutions for the Cahn-Hilliard-Boussinesq System with Zero Viscosity in a Bounded Domain |
| title_sort | blow up criteria of smooth solutions for the cahn hilliard boussinesq system with zero viscosity in a bounded domain |
| url | http://dx.doi.org/10.1155/2012/802876 |
| work_keys_str_mv | AT yongzhou blowupcriteriaofsmoothsolutionsforthecahnhilliardboussinesqsystemwithzeroviscosityinaboundeddomain AT jishanfan blowupcriteriaofsmoothsolutionsforthecahnhilliardboussinesqsystemwithzeroviscosityinaboundeddomain |