6 citations · 8 across the 4 of their papers we have counts for
5 papers
Two problems in Partial Differential Equations (in Portuguese)
Paulo R. Zingano
In this work, we examine two important problems in the theory of nonlinear PDEs. In Part I, we propose and solve a more general and complete version of the celebrated Leray's probl…
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…
The Navier-Stokes equations for Incompressible Flows: solution properties at potential blow-up times
Jens Lorenz, Paulo R. Zingano
In this paper we consider the Cauchy problem for the 3D Navier-Stokes equations for incompressible flows. The initial data are assumed to be smooth and rapidly decaying at infinity…
Some asymptotic limits for solutions of Burgers equation
P. R. Zingano
We compute some asymptotic limits for solutions of Burgers equation with Cauchy data in .