Title
Asymptotic Behavior to Dissipative Quasi-Geostrophic Flows
Abstract
We consider the long time behavior of solutions of dissipative quasi-geostrophic (DQG) flows with subcritical powers. The flow under consideration is described by the nonlinear scalar equation partial derivativetheta/partial derivativet + u .deltheta + kappa(-Delta)(alpha)theta = f, theta\(t=0) = theta(0). Rates of decay are obtained for both the solutions and higher derivatives in different Sobolev spaces.
Year
DOI
Venue
2003
10.1137/S0036141002409362
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Keywords
Field
DocType
quasi-geostrophic,decay,Fourier splitting
Nabla symbol,Nonlinear system,Mathematical analysis,Scalar (physics),Geostrophic wind,Dissipative system,Sobolev space,Asymptotic analysis,Mathematics
Journal
Volume
Issue
ISSN
35
2
0036-1410
Citations 
PageRank 
References 
4
2.13
0
Authors
2
Name
Order
Citations
PageRank
Maria E. Schonbek174.31
Tomas P. Schonbek252.75