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Asymptotic behavior of weak solutions to the damped Navier-Stokes equations.
- Source :
-
Journal of Mathematical Analysis & Applications . Sep2019, Vol. 477 Issue 2, p1009-1018. 10p. - Publication Year :
- 2019
-
Abstract
- Whether or not weak solutions of classical Navier-Stokes equations decay to zero in L 2 as time tends to infinity was posed by Leray in his pioneering paper [12,13] and has been well solved (see [15] for instance). This paper examines the three dimensional Navier-Stokes equations with damping term | u | β − 1 u and proves that the weak solutions decay to zero in L 2 as time tends to infinity for any β ≥ 1 , by developing local-in-space estimate for weak solutions. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 477
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 136647545
- Full Text :
- https://doi.org/10.1016/j.jmaa.2019.04.068