A Note on the Regularity Criterion of Weak Solutions of Navier-Stokes Equations in Lorentz Space
Author
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-26
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper is concerned with the regularity of Leray weak solutions to the 3D Navier-Stokes equations in Lorentz space.
It is proved that the weak solution is regular if the horizontal velocity denoted by ũ=(u1,u2,0) satisfies ũ(x,t)∈Lq(0,T;Lp,∞(R3)) for 2/q + 3/p=1, 3 The result is obvious and improved that of Dong and Chen (2008) on the Lebesgue space.
American Psychological Association (APA)
Yin, Xunwu. 2012. A Note on the Regularity Criterion of Weak Solutions of Navier-Stokes Equations in Lorentz Space. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-452704
Modern Language Association (MLA)
Yin, Xunwu. A Note on the Regularity Criterion of Weak Solutions of Navier-Stokes Equations in Lorentz Space. Abstract and Applied Analysis No. 2012 (2012), pp.1-9.
https://search.emarefa.net/detail/BIM-452704
American Medical Association (AMA)
Yin, Xunwu. A Note on the Regularity Criterion of Weak Solutions of Navier-Stokes Equations in Lorentz Space. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-452704
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-452704
