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.

Authors
Alghamdi A.M.1 , Gala S.2, 3 , Ragusa M.A. 3, 4 , Yang J.Q.5
Journal
Computational and Applied Mathematics
Publisher
Springer Science and Business Media, LLC
Number of issue
3
Language
English
Status
Published
Link
External link
DOI
10.1007/s40314-020-01281-w
Number
234
Volume
39
Year
2020
Organizations
  • 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
Keywords
BMO space; Regularity criteria; Shear thinning fluids; Two velocity components
Date of creation
02.11.2020
Date of change
02.11.2020
Short link
https://repository.rudn.ru/en/records/article/record/64447/
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