2 papers
math.AP2018
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)…
math.AP2015
On the Blow-up Criterion of Magnetohydrodynamics Equations in Homogeneous Sobolev Spaces
Diego Marcon, Wilberclay G. Melo, Lineia Schutz +1
In this paper, we obtain new lower bounds on the Homogeneous Sobolev--norms of the maximal solution of the Magnetohydrodynamics Equations. This gives us some insight on the blow-up…