Blow-Up Criteria of Smooth Solutions for the Cahn-Hilliard-Boussinesq System with Zero Viscosity in a Bounded Domain

Yong Zhou; Jishan Fan

doi:10.1155/2012/802876

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Blow-Up Criteria of Smooth Solutions for the Cahn-Hilliard-Boussinesq System with Zero Viscosity in a Bounded Domain

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Blow-Up Criteria of Smooth Solutions for the Cahn-Hilliard-Boussinesq System with Zero Viscosity in a Bounded Domain

Yong Zhou and Jishan Fan

Abstract and applied analysis, Vol.2012, pp.1-13

01/01/2012

DOI: https://doi.org/10.1155/2012/802876

Abstract

Mathematics

Mathematics, Applied

Physical Sciences

Science & Technology

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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Title: Blow-Up Criteria of Smooth Solutions for the Cahn-Hilliard-Boussinesq System with Zero Viscosity in a Bounded Domain
Creators - without role: Yong Zhou - Zhejiang Normal University
Jishan Fan - Nanjing Forestry University
Publication Details: Abstract and applied analysis, Vol.2012, pp.1-13
Publisher: Hindawi Publishing Corporation
Number of pages: 13
Grant note: 11171154 / NSFC; National Natural Science Foundation of China (NSFC) T200905 / Zhejiang Innovation Project R6090109 / ZJNSF; Natural Science Foundation of Zhejiang Province
Identifiers: 9935883208331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article