×

zbMATH — the first resource for mathematics

Global regularity for a slightly supercritical hyperdissipative Navier-Stokes system. (English) Zbl 1309.76053
Summary: 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 T. Tao [Anal. PDE 2, No. 3, 361–366 (2009; Zbl 1190.35177)].

MSC:
76D03 Existence, uniqueness, and regularity theory for incompressible viscous fluids
76D05 Navier-Stokes equations for incompressible viscous fluids
35Q30 Navier-Stokes equations
35Q35 PDEs in connection with fluid mechanics
PDF BibTeX XML Cite
Full Text: DOI arXiv