Title
Decay of solutions to the three-dimensional generalized Navier-Stokes equations.
Abstract
In this paper, temporal decay estimates for weak solutions to the three dimensional generalized Navier-Stokes equations are established firstly. With these estimates at disposal, algebraic time decay for higher order Sobolev norms of small initial data solutions are obtained. The decay rates are optimal in the sense that they coincide with ones of the corresponding generalized heat equation.
Year
DOI
Venue
2015
10.3233/ASY-151307
ASYMPTOTIC ANALYSIS
Keywords
Field
DocType
generalized Navier-Stokes equations,decay,Fourier-splitting method
Mathematical optimization,Algebraic number,Mathematical analysis,Sobolev space,Time decay,Heat equation,Mathematics,Navier–Stokes equations
Journal
Volume
Issue
ISSN
94
1-2
0921-7134
Citations 
PageRank 
References 
1
0.63
0
Authors
2
Name
Order
Citations
PageRank
Quansen Jiu1105.21
Huan Yu24613.63