In this paper, we study the regularity criteria of the weak solutions to the Boussinesq equations involving the horizontal component of velocity or the hori- zontal 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.
Regularity criteria via horizontal component of velocity for the Boussinesq equations in anisotropic Lorentz spaces
Maria Alessandra Ragusa
2023-01-01
Abstract
In this paper, we study the regularity criteria of the weak solutions to the Boussinesq equations involving the horizontal component of velocity or the hori- zontal 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.File in questo prodotto:
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