A Regularity Criterion in Weak Spaces to Boussinesq Equations
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A Regularity Criterion in Weak Spaces to Boussinesq Equations

Ravi P. Agarwal;Sadek Gala;Maria Alessandra Ragusa;Agarwal, Ravi P.;Gala, Sadek;Ragusa, Maria Alessandra;
Mathematics 2020 Vol. 8 pp. 920-
104
agarwal2020mathematicsa

Abstract

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.

Keywords

regularity results cauchy problem boussinesq equations lorentz spaces navier-stokes equations mhd equations weak solutions

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DOI:
10.3390/math8060920
URL:
https://doi.org/10.3390/math8060920

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ID: 268179
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