The Regularity Criteria and the A Priori Estimate on the 3D Incompressible Navier-Stokes Equations in Orthogonal Curvilinear Coordinate Systems
Joint Authors
Wang, Yongxin
Wang, Shu
Geng, Fan
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-13
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The paper considers the regularity problem on three-dimensional incompressible Navier-Stokes equations in general orthogonal curvilinear coordinate systems.
We establish one regularity criteria of the weak solutions involving only in a vorticity component ω3 and one a priori estimate on the solution that H3u3L∞0,T;Lpℝ3 is bounded for 1≤p≤∞ to three-dimensional incompressible Navier-Stokes equations in orthogonal curvilinear coordinate systems.
These extent greatly the corresponding results on axisymmetric cylindrical flow.
American Psychological Association (APA)
Geng, Fan& Wang, Shu& Wang, Yongxin. 2020. The Regularity Criteria and the A Priori Estimate on the 3D Incompressible Navier-Stokes Equations in Orthogonal Curvilinear Coordinate Systems. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1185274
Modern Language Association (MLA)
Geng, Fan…[et al.]. The Regularity Criteria and the A Priori Estimate on the 3D Incompressible Navier-Stokes Equations in Orthogonal Curvilinear Coordinate Systems. Journal of Function Spaces No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1185274
American Medical Association (AMA)
Geng, Fan& Wang, Shu& Wang, Yongxin. The Regularity Criteria and the A Priori Estimate on the 3D Incompressible Navier-Stokes Equations in Orthogonal Curvilinear Coordinate Systems. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1185274
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185274