Propagation of Sobolev regularity for the critical dissipative quasi-geostrophic equation
نویسنده
چکیده
This equation comes from more general quasi-geostrophic models of atmospheric and ocean fluid flow ; the scalar θ represents the temperature and u the divergence free velocity field. The mathematical study of the non-dissipative case has first been proposed by Constantin, Majda and Tabak in [5] where it is shown to be an analogue to the 3D Euler equations. The dissipative case has then been studied by Constantin and Wu in [6] when α > 1/2 and global existence in Sobolev spaces is studied by Constantin, Cordoba and Wu in [4] when α = 1/2. ∗[email protected]
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عنوان ژورنال:
- Asymptotic Analysis
دوره 49 شماره
صفحات -
تاریخ انتشار 2006