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.

Авторы
Agarwal R.P. 1 , Gala S. 2, 3 , Ragusa M.A. 3, 4
Journal
Mathematics
Издательство
MDPI AG
Номер выпуска
6
Язык
English
Статус
Published
Ссылка
Внешняя ссылка
DOI
10.3390/MATH8060920
Номер
920
Том
8
Год
2020
Организации
  • 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
Ключевые слова
Boussinesq equations; Cauchy problem; Lorentz spaces; MHD equations; Navier-Stokes equations; Regularity results; Weak solutions
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