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Hydrodynamics in Besov spaces. (English) Zbl 0926.35123
The Euler equation of an ideal incompressible fluid in borderline Besov spaces is studied. The novelty of this study is the logarithmic inequality which implies global existence in time for a solution with vorticity in a certain functional space.
Reviewer: V.A.Sava (Iaşi)

MSC:
35Q35 PDEs in connection with fluid mechanics
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
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