Behavior of solutions of 2D quasi-geostrophic equations

Authors
Constantin, P Wu, JH
Citation
P. Constantin et Jh. Wu, Behavior of solutions of 2D quasi-geostrophic equations, SIAM J MATH, 30(5), 1999, pp. 937-948
Citations number
13
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN journal
00361410 → ACNP
Volume
30
Issue
5
Year of publication
1999
Pages
937 - 948
Database
ISI
SICI code
0036-1410(19991007)30:5<937:BOSO2Q>2.0.ZU;2-G
Abstract
We study solutions to the 2D quasi-geostrophic (QGS) equation partial derivative theta/partial derivative t + u . del theta + kappa(-Delt a)(alpha)theta = f and prove global existence and uniqueness of smooth solutions if alpha is a n element of (1/2; 1]; weak solutions also exist globally but are proven to be unique only in the class of strong solutions. Detailed aspects of large time approximation by the linear QGS equation are obtained.