A Regularity Criterion in Weak Spaces to Boussinesq Equations

In this paper, we study the regularity of weak solutions to the incompressible Boussinesq equations in R 3 × ( 0 , T ) . The main goal is to establish the regularity criterion in terms of one velocity component and the gradient of temperature in Lorentz spaces.

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Bibliographic Details
Published in:	Mathematics (Basel) Vol. 8; no. 6; p. 920
Main Authors:	Agarwal, Ravi P., Gala, Sadek, Ragusa, Maria Alessandra
Format:	Journal Article
Language:	English
Published:	MDPI AG 01-06-2020
Subjects:	Boussinesq equations Cauchy problem Lorentz spaces MHD equations Navier-Stokes equations Regularity results
Online Access:	Get full text
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Description
Summary:	In this paper, we study the regularity of weak solutions to the incompressible Boussinesq equations in R 3 × ( 0 , T ) . The main goal is to establish the regularity criterion in terms of one velocity component and the gradient of temperature in Lorentz spaces.
ISSN:	2227-7390 2227-7390
DOI:	10.3390/math8060920