Yu-Zhu Wang, Zhiqiang Wei
Abstract:
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
.
Our proof is based on careful H\"oder estimates of heat and transport
equations and the standard Littlewood-Paley theory.
Submitted February 28, 2012. Published May 10, 2012.
Math Subject Classifications: 76D03, 35Q35.
Key Words: Heat convection equations; smooth solutions;
blow-up criterion.
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Yu-Zhu Wang School of Mathematics and Information Sciences North China University of Water Resources and Electric Power Zhengzhou 450011, China email: yuzhu108@163.com |
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Zhiqiang Wei School of Mathematics and Information Sciences North China University of Water Resources and Electric Power Zhengzhou 450011, China email: weizhiqiang@ncwu.edu.cn |
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