6 citations · 8 across the 6 of their papers we have counts for
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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.AP2018
On the global solvability of porous media equations with general (spatially dependent) advection terms
N. M. L. Diehl, L. Fabris, P. R. Zingano
We show that advection-diffusion equations with porous media type diffusion and integrable initial data are globally solvable under very mild conditions. Some generalizations and r…
math.AP2018★ 2 cited
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…