On the Analyticity of Solutions to the Navier-Stokes Equations with Fractional Dissipation

Abstract

By using a new bilinear estimate, a pointwise estimate of the generalized Oseen kernel and an idea of fractional bootstrap, we show in this note that solutions to the Navier-Stokes equations with fractional dissipation are analytic in space variables.

Cited by in corpus (1)

• On blow-up "twistors" for the Navier--Stokes equations in $R^3$: a view from reaction-diffusion theory