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
In corso di stampa
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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