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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Hindawi Limited
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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doaj-58bcdee60f3348d4804cbe6c81fde8542020-11-24T22:28:09ZengHindawi LimitedAbstract 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 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Yong Zhou Jishan Fan |
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 |
author_facet |
Yong Zhou Jishan Fan |
author_sort |
Yong Zhou |
title |
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_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_sort |
blow-up criteria of smooth solutions for the cahn-hilliard-boussinesq system with zero viscosity in a bounded domain |
publisher |
Hindawi Limited |
series |
Abstract and Applied Analysis |
issn |
1085-3375 1687-0409 |
publishDate |
2012-01-01 |
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. |
url |
http://dx.doi.org/10.1155/2012/802876 |
work_keys_str_mv |
AT yongzhou blowupcriteriaofsmoothsolutionsforthecahnhilliardboussinesqsystemwithzeroviscosityinaboundeddomain AT jishanfan blowupcriteriaofsmoothsolutionsforthecahnhilliardboussinesqsystemwithzeroviscosityinaboundeddomain |
_version_ |
1725747605597585408 |