Blow-up criterion for two-dimensional heat convection equations with zero heat conductivity

In this article we obtain a blow-up criterion of smooth solutions to Cauchy problem for the incompressible heat convection equations with zero heat conductivity in $mathbb{R}^2$. Our proof is based on careful H"oder estimates of heat and transport equations and the standard Littlewood-Paley...

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Bibliographic Details
Main Authors: Yu-Zhu Wang, Zhiqiang Wei
Format: Article
Language:English
Published: Texas State University 2012-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/72/abstr.html