Geodesic
Regularity criteria for 3D Boussinesq equations with zero thermal diffusion
Electronic journal of differential equations, Tome 2015 (2015)
In this article, we consider the three-dimensional (3D) incompressible Boussinesq equations with zero thermal diffusion. We establish a regularity criterion for the local smooth solution in the framework of Besov spaces in terms of the velocity only.
Classification : 35Q35, 35B65, 76W05
Keywords: 3D Boussinesq equations, Besov spaces, regularity criterion 
@article{EJDE_2015__2015__a85,
     author = {Ye,  Zhuan},
     title = {Regularity criteria for {3D} {Boussinesq} equations with zero thermal diffusion},
     journal = {Electronic journal of differential equations},
     year = {2015},
     volume = {2015},
     zbl = {1314.35115},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a85/}
}
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%A Ye,  Zhuan
%T Regularity criteria for 3D Boussinesq equations with zero thermal diffusion
%J Electronic journal of differential equations
%D 2015
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%U http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a85/
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%F EJDE_2015__2015__a85
Ye,  Zhuan. Regularity criteria for 3D Boussinesq equations with zero thermal diffusion. Electronic journal of differential equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a85/