This article concerns the blow up for the smooth solutions of the three-dimensional Boussinesq equations with zero diffusivity. It is shown that if any two components of the velocity field u satisfy
then the local smooth solution can be continuously extended to for some .
Submitted September 29, 2014. Published March 11, 2015.
Math Subject Classifications: 35Q35, 76D05.
Key Words: Zero-diffusive Boussinesq equations; blow up criterion; Lorentz spaces.
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| Weihua Wang |
School of Mathematics and Statistics
Hubei University, Wuhan 430062, China
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