Self-similar solutions for dyadic models of the Euler equations
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dyadicequationseulermodelsself-similarsolutionsanalysisbarbato
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We show existence of self-similar solutions satisfying Kolmogorov's scaling for generalized dyadic models of the Euler equations, extending a result of Barbato, Flandoli, and Morandin. The proof is based on the analysis of certain dynamical systems on the plane.
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