Global Well-Posedness and Long Time Decay of Fractional Navier-Stokes Equations in Fourier-Besov Spaces
Joint Authors
Xiao, Weiliang
Zhou, Xuhuan
Fan, Dashan
Chen, Jiecheng
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-22
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We study the Cauchy problem of the fractional Navier-Stokes equations in critical Fourier-Besov spaces FB˙p,q1-2β+3/p′.
Some properties of Fourier-Besov spaces have been discussed, and we prove a general global well-posedness result which covers some recent works in classical Navier-Stokes equations.
Particularly, our result is suitable for the critical case β=1/2.
Moreover, we prove the long time decay of the global solutions in Fourier-Besov spaces.
American Psychological Association (APA)
Xiao, Weiliang& Chen, Jiecheng& Fan, Dashan& Zhou, Xuhuan. 2014. Global Well-Posedness and Long Time Decay of Fractional Navier-Stokes Equations in Fourier-Besov Spaces. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1033774
Modern Language Association (MLA)
Xiao, Weiliang…[et al.]. Global Well-Posedness and Long Time Decay of Fractional Navier-Stokes Equations in Fourier-Besov Spaces. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1033774
American Medical Association (AMA)
Xiao, Weiliang& Chen, Jiecheng& Fan, Dashan& Zhou, Xuhuan. Global Well-Posedness and Long Time Decay of Fractional Navier-Stokes Equations in Fourier-Besov Spaces. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1033774
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033774