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REGULARIZING EFFECT OF THE FORWARD ENERGY CASCADE IN THE INVISCID DYADIC MODEL
"... Abstract. We study the inviscid dyadic model of the Euler equations and prove some regularizing properties of the nonlinear term that occur due to forward energy cascade. We show every solution must have 3 5 L2based (or ..."
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Abstract. We study the inviscid dyadic model of the Euler equations and prove some regularizing properties of the nonlinear term that occur due to forward energy cascade. We show every solution must have 3 5 L2based (or
Stochastic inviscid shell models: wellposedness and anomalous dissipation
 Nonlinearity
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, 2013
"... Positive and nonpositive solutions for an inviscid dyadic model. Wellposedness and regularity. ..."
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Positive and nonpositive solutions for an inviscid dyadic model. Wellposedness and regularity.