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arXiv:math/0612024 [math.AP]AbstractReferencesReviewsResources

2D Navier-Stokes equation in Besov spaces of negative order

Z. Brzezniak, B. Ferrario

Published 2006-12-01Version 1

The Navier--Stokes equation in the bidimensional torus is considered, with initial velocity and forcing term in suitable Besov spaces. Results of local existence and uniqueness are proven; under further restriction on the indexes defining the Besov speces involved, we prove global existence.

Comments: 26 pages
Journal: Nonlinear Analysis TMA 70 no. 11 (2009), 3902-3916
Categories: math.AP
Subjects: 35Q30, 76D05, 76D03, 35D05, 35D10
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