Well Posedness for Positive Dyadic Model

Details Well Posedness for Positive Dyadic Model Well Posedness for Positive Dyadic Model

2009-10-26

arxiv.org/abs/0910.4995v1

Mathematics

Analysis of PDEs

6 pages, no figures. Submitted to Les Comptes Rendus de l'Academie des sciences

Scientific paper

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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