Remarks on the Global Existence for Incompressible Navier-Stokes Equations

Abstract

In this article, the authors use the special structure of helicity for the three-dimensional incompressible Navier-Stokes equations to construct a family of finite energy smooth solutions to the Navier-Stokes equations which critical norms can be arbitrarily large.

Keywords

Navier-Stokes euqations / Helicity / Global existence / Critical norm