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.

Bibliographic Details
Main Authors: Yong Zhou, Jishan Fan
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/802876
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spelling 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
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AT jishanfan blowupcriteriaofsmoothsolutionsforthecahnhilliardboussinesqsystemwithzeroviscosityinaboundeddomain
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