Dissipative quasi-geostrophic motion under temporally almost periodic forcing

Citation
Jq. Duan et Pe. Kloeden, Dissipative quasi-geostrophic motion under temporally almost periodic forcing, J MATH ANAL, 236(1), 1999, pp. 74-85
Citations number
19
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
236
Issue
1
Year of publication
1999
Pages
74 - 85
Database
ISI
SICI code
0022-247X(19990801)236:1<74:DQMUTA>2.0.ZU;2-P
Abstract
The full nonlinear dissipative quasi-geostrophic model is shown to have a u nique temporally almost periodic solution when the wind forcing is temporal ly almost periodic under suitable constraints on the spatial square-integra l of the wind forcing and the beta parameter, Ekman number, viscosity, and the domain size. The proof involves the pullback attractor for the associat ed nonautonomous dynamical system. (C) 1999 Academic Press.