Osgood type blow-up criterion for the 3D Boussinesq equations with partial viscosity

This paper is dedicated to studying the blow-up criterion of smooth solutions to the three-dimensional Boussinesq equations with partial viscosity. By means of the Littlewood-Paley decomposition, we give an improved logarithmic Sobolev inequality and through this, we obtain the corresponding blow-u...

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Bibliographic Details
Main Author: Zhaoyang Shang
Format: Article
Language:English
Published: AIMS Press 2017-12-01
Series:AIMS Mathematics
Subjects:
Online Access:http://www.aimspress.com/article/10.3934/Math.2018.1.1/fulltext.html