Regularity criterion via two components of velocity on weak solutions to the shear thinning fluids in R3

We consider the regularity of weak solutions to the shear thinning fluids in R3. Let u be a weak solution in R3× (0 , T) and u~ = (u1, u2, 0). It is proved that u becomes a strong solution if u~∈L5p-65p-8(0,T;BMO(R3)) , for 85<p≤2. This is an improvement of the result given by Yang (Comput Math Appl 77:2854–2858). © 2020, SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional.

Авторы
Alghamdi A.M.1 , Gala S.2, 3 , Ragusa M.A. 3, 4 , Yang J.Q.5
Журнал
Computational and Applied Mathematics
Издательство
Springer Science and Business Media, LLC
Номер выпуска
3
Язык
Английский
Статус
Опубликовано
Ссылка
Внешняя ссылка
DOI
10.1007/s40314-020-01281-w
Номер
234
Том
39
Год
2020
Организации
  • 1 Department of Mathematical Science, Faculty of Applied Science, Umm Alqura University, P. O. Box 14035, Mecca, 21955, Saudi Arabia
  • 2 Department of Sciences Exactes, ENS of Mostaganem, University of Mostaganem, Box 227, Mostaganem, 27000, Algeria
  • 3 Dipartimento di Matematica e Informatica, Università di Catania, Viale Andrea Doria, Catania, 6 95125, Italy
  • 4 RUDN University, 6 Miklukho-Maklay St, Moscow, 117198, Russian Federation
  • 5 School of Mathematics and Statistics, Northwestern Polytechnical University, Xi’an, 710129, China
Ключевые слова
BMO space; Regularity criteria; Shear thinning fluids; Two velocity components
Дата создания
02.11.2020
Дата изменения
02.11.2020
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/64447/
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