Dynamics of Partial Differential Equations
Volume 11 (2014)
Global regularity for a logarithmically supercritical hyperdissipative dyadic equation
Pages: 39 – 52
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 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.
dyadic model, global existence, slightly supercritical dyadic model
2010 Mathematics Subject Classification
Primary 35-xx. Secondary 76-xx.