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arxiv: 0910.4995 · v1 · submitted 2009-10-26 · 🧮 math.AP

Well Posedness for Positive Dyadic Model

classification 🧮 math.AP
keywords dyadicexistenceglobalmodelpositivesolutionsuniquenesscauchy
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We consider the solutions of the Cauchy problem for a dyadic model of Euler equations. We prove global existence and uniqueness of Leray-Hopf solutions in a rather large class K that implies in particular global existence and uniqueness in l^2 for all initial positive conditions in l^2.

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