Asymptotic Behavior to Dissipative Quasi-Geostrophic Flows
- 1 January 2003
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 35 (2), 357-375
- https://doi.org/10.1137/s0036141002409362
Abstract
We consider the long time behavior of solutions of dissipative Quasi-Geostrophic flow (QG) with sub-critical powers. The flow under con- sideration is described by the nonlinear scalar equation @ @t + u · r + (4 ) = f, (0.1) |t=0 = 0 Rates of decay are obtained, for both the solutions and higher derivatives in dierent Sobolev spaces.Keywords
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