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Regularity criteria via horizontal component of velocity for the Boussinesq equations in anisotropic Lorentz spaces

Agarwal Ravi P., Alghamdi Ahmad M., Gala Sadek, Ragusa Maria Alessandra

Demonstratio Mathematica

2023

Vol. 56, nr 1

art. no. 20220221

In this article, we study the regularity criteria of the weak solutions to the Boussinesq equations involving the horizontal component of velocity or the horizontal derivatives of the two components of velocity in anisotropic Lorentz spaces. This result reveals that the velocity field plays a dominant role in regularity theory of the Boussinesq equations.