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 R3 x (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. © 2020 by the authors.

Authors
Agarwal R.P.1 , Gala S.2, 3 , Ragusa M.A. 3, 4
Journal
Publisher
MDPI AG
Number of issue
6
Language
English
Status
Published
Number
920
Volume
8
Year
2020
Organizations
  • 1 Department of Mathematics, Texas A and M University-Kingsville, Kingsville, TX 78363-8202, United States
  • 2 Ecole Normale Supérieure de Mostaganem, University of Mostaganem, P. O. Box 270, Mostaganem, 27000, Algeria
  • 3 Dipartimento di Matematica e Informatica, Università di Catania, Viale Andrea Doria 6, Catania, 95125, Italy
  • 4 RUDN University, 6 Miklukho, Maklay St, Moscow, 117198, Russian Federation
Keywords
Boussinesq equations; Cauchy problem; Lorentz spaces; MHD equations; Navier-Stokes equations; Regularity results; Weak solutions
Date of creation
02.11.2020
Date of change
02.11.2020
Short link
https://repository.rudn.ru/en/records/article/record/64697/
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