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arXiv · 1403.2852

Global regularity for a logarithmically supercritical hyperdissipative dyadic equation

David Barbato·Francesco Morandin·Marco Romito
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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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David Barbato, Francesco Morandin, Marco Romito. 2014-03-12. Global regularity for a logarithmically supercritical hyperdissipative dyadic equation. https://arxiv.org/abs/1403.2852

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