Funkcialaj Ekvacioj
Print ISSN : 0532-8721
On Existence and Space-Time Behavior of Dissipative 2D Quasi-Geostrophic Flows
May Thi TunTetsuro Miyakawa
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2010 年 53 巻 2 号 p. 169-212

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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 Lp-like function spaces with 2/3 ≤ p ≤ ∞.
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© 2010 by the Division of Functional Equations, The Mathematical Society of Japan
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