4 papers · 1 filter
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)…
An inequality for solutions of the Navier-Stokes equations in Rn
Thomas Hagstrom, Jens Lorenz, Janaína P. Zingano +1
We obtain a new inequality that holds for general Leray solutions of the incompressible Navier-Stokes equations in Rn (n <= 4). This recovers important results previously obtained…
Some remarks on the regularity time of Leray solutions to the Navier-Stokes equations
Pablo Braz e Silva, Janaína P. Zingano, Paulo R. Zingano
In this small note we strengthen the classic result about the regularity time t* of arbitrary Leray solutions to the (incompressible) Navier-Stokes equations in Rn (n = 3, 4), whic…
Some basic properties of bounded solutions of parabolic equations with p-Laplacian diffusion
Jocemar Q. Chagas, Patrícia L. Guidolin, Janaína P. Zingano
We provide a detailed (and fully rigorous) derivation of several fundamental properties of bounded weak solutions to initial-value problems for general conservative 2nd-order parab…