On the Well-Posedness of the Boussinesq Equation in the Triebel-Lizorkin-Lorentz Spaces

We establish the local well-posedness and obtain a blow-up criterion of smooth solutions for the Boussinesq equations in the framework of Triebel-Lizorkin-Lorentz spaces. The main ingredients of our proofs are Littlewood-Paley decomposition and the paradifferential calculus.

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Bibliographic Details
Main Authors: Zhaoyin Xiang, Wei Yan
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/573087
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