Global regularity for a logarithmically supercritical hyperdissipative dyadic equation

2014/03/12 by Barbato, David, Morandin, Francesco, Romito, Marco
#35Q30 #35Q31 #76D05 #Analysis of PDEs (math.AP) #FOS: Mathematics #Primary 76D03 #Secondary 35Q35

paper · doi:10.48550/arxiv.1403.2852

Abstract

We prove global existence of smooth solutions for a slightly supercritical dyadic model. We consider a generalized version of the dyadic model introduced by Katz-Pavlovic [2005] and add a viscosity term with critical exponent and a supercritical correction. This model catches for the dyadic a conjecture that for Navier-Stokes equations was formulated by Tao [2009].

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