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arxiv: math/0612024 · v1 · submitted 2006-12-01 · 🧮 math.AP

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

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keywords besovequationexistencespacesbidimensionalconsidereddefiningforcing
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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.

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