On the supnorm form of Leray's problem for the incompressible Navier-Stokes equations

Lineia Schutz, Janaína P. Zingano, Paulo R. Zingano

We show that t^{3/4}|| u(.,t) ||_{sup} --> 0 as t --> infty for all (global) Leray solutions of the incompressible Navier-Stokes equations in R3. It is also shown that t || u(.,t)…