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Existence and Regularity of Weak Solutions to the Quasi-Geostrophic Equations in the SpacesLpor(dot{H}^{-1/2})

โœ Scribed by Fabien Marchand


Publisher
Springer
Year
2007
Tongue
English
Weight
276 KB
Volume
277
Category
Article
ISSN
0010-3616

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๐Ÿ“œ SIMILAR VOLUMES


Existence and Regularity of a Class of W
โœ Cheng He ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 241 KB

We construct a class of weak solutions to the NavierแސStokes equations, which have second order spatial derivatives and one order time derivatives, of p power s ลฝ 2, r ลฝ .. summability for 1p F 5r4. Meanwhile, we show that u g L 0, T ; W โ€ with 1rs q 3r2 r s 2 for 1r F 5r4. r can be relaxed not to ex