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A blow-up criterion for 3D Boussinesq equations in Besov spaces

Article ID Journal Published Year Pages File Type
842407 Nonlinear Analysis: Theory, Methods & Applications 2010 10 Pages PDF
Abstract

In this paper, we consider the 3D Boussinesq equations with the incompressibility condition. We obtain a regularity condition for the three-dimensional Boussinesq equations by means of the Littlewood–Paley theory and Bony’s paradifferential calculus.

Keywords
76B0376D03Littlewood?Paley decompositionBesov spaceRegularity criterion
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Preview
A blow-up criterion for 3D Boussinesq equations in Besov spaces
Authors
Hua Qiu, Yi Du, Zheng’an Yao,
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Journal
Nonlinear Analysis: Theory, Methods & Applications
Journal: Nonlinear Analysis: Theory, Methods & Applications
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76B03
76D03
Littlewood?Paley decomposition
Besov space
Regularity criterion
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