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, 2012, vol. 2012, issue 1

Abstract: 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.

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

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:802876

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