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Ladder estimates for micropolar fluid equations and regularity of global attractor

✍ Scribed by Piotr Szopa

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
173 KB
Volume
33
Category
Article
ISSN
0170-4214

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✦ Synopsis

This paper is devoted to obtain ladder inequalities for 2D micropolar fluid equations on a periodic domain Q = (0,L) 2 . The ladder inequalities are differential inequalities that connect the evolution of L 2 norms of derivatives of order N with the evolution of the L 2 norms of derivatives of other (usually lower) order. Moreover, we find (with slight assumption on external fields) long-time upper bounds on the L 2 norms of derivatives of every order, which implies that a global attractor is made up from C ∞ functions.

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