MR2730620
May Thi TUN and Tetsuro MIYAKAWA
May Thi TUN and Tetsuro MIYAKAWA
On Existence and Space-Time Behavior of Dissipative 2D Quasi-Geostrophic Flows
Funkcialaj Ekvacioj. Serio Internacia
53
2010
169--212
http://fe.math.kobe-u.ac.jp/FE/FullPapers/53-2/53_169.pdf
http://www.ams.org/mathscinet-getitem?mr=MR2730620
Existence is proved for dissipative subcritical 2D quasi-geostrophic flows with a specific pointwise behavior in space-time. First we treat flows with small initial data, employing only elementary estimates for convolution integrals. Our results extend those proved in [7] and [12] for 2D Navier--Stokes flows. We then prove the specific space-time behavior mentioned above is also interpreted in a framework of $L^p$-like function spaces with $2/3\leq p\leq\infty$.
Quasi-Geostrophic flows, Space-time behavior, Pointwise asymptotic decay estimates.
35B40, 35Q35.
53-169
2010
On Existence and Space-Time Behavior of Dissipative 2D Quasi-Geostrophic Flows
May Thi TUN and Tetsuro MIYAKAWA
May Thi TUN and Tetsuro MIYAKAWA
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