The generalized Caffarelli-Kohn-Nirenberg Theorem for the hyperdissipative Navier-Stokes system

Abstract

We introduce a notion of suitable weak solution of the hyperdissipative Navier-Stokes equations and we achieve a corresponding extension of the regularity theory of Caffarelli-Kohn-Nirenberg.

References in corpus (1)

• On higher order extensions for the fractional Laplacian

Cited by in corpus (1)

• Global existence of uniformly locally energy solutions for the incompressible fractional Navier-Stokes equations