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Blow-up criteria of smooth solutions to the 3D Boussinesq system with zero viscosity in a bounded domain

Article ID Journal Published Year Pages File Type
840327 Nonlinear Analysis: Theory, Methods & Applications 2012 7 Pages PDF
Abstract

We prove that a smooth solution of the 3D 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 the bmo-norm.

Keywords
76D0535Q3076D03BMORegularity criterion
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Preview
Blow-up criteria of smooth solutions to the 3D Boussinesq system with zero viscosity in a bounded domain
Authors
Jishan Fan, Gen Nakamura, Haibing Wang,
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Journal
Nonlinear Analysis: Theory, Methods & Applications
Journal: Nonlinear Analysis: Theory, Methods & Applications
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