Global regularity for a slightly supercritical hyperdissipative Navier-Stokes system

Abstract

We prove global existence of smooth solutions for a slightly supercritical hyperdissipative Navier--Stokes under the optimal condition on the correction to the dissipation. This proves a conjecture formulated by Tao [Tao2009].

References in corpus (2)

• Finite time blowup for an averaged three-dimensional Navier-Stokes equation
• A note on the slightly supercritical Navier Stokes equations in the plane

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