Abstract
We establish some regularity criteria in terms of the velocity field with weight for the Navier—Stokes equations in ℝ3. It is proved that if the weak solution satisfies or then the weak solution actually is regular up to time T.
- Title
- Weighted regularity criteria for the three-dimensional Navier—Stokes equations
- Creators - without role
- Yong Zhou - Zhejiang Normal University
- Publication Details
- Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, Vol.139(3), pp.661-671
- Publisher
- Royal Society of Edinburgh Scotland Foundation
- Number of pages
- 11
- Identifiers
- 9939578608331
- Academic Unit
- King Abdulaziz University
- Language
- English
- Resource Type
- Journal article