9 citations · 29 across the 14 of their papers we have counts for
14 papers
On the topological size of the class of Leray solutions with algebraic decay
Lorenzo Brandolese, Cilon F Perusato, Paulo R Zingano
In 1987, Michael Wiegner in his seminal paper [17] provided an important result regarding the energy decay of Leray solutions to the incompressible Navier-…
Upper and lower estimates for solutions to parabolic equations
Robert H. Guterres, César J. Niche, Cilon F. Perusato +1
In this article we prove results concerning upper and lower decay estimates for homogeneous Sobolev norms of solutions to a rather general family of parabolic equations. Following…
Herd immunity for Covid-19 in homogeneous populations
Janaina P. Zingano, Paulo R. Zingano, Alessandra M. Silva +1
In this note we estimate herd immunity levels for the Covid-19 epidemic using a standard SEIR system that models the disease dynamics in homogeneous populations. The results obtain…
A matlab code to compute reproduction numbers with applications to the Covid-19 outbreak
Paulo R. Zingano, Janaina P. Zingano, Alessandra M. Silva +1
We discuss the generation of various reproduction ratios or numbers that are very useful to monitor an ongoing epidemic like Covid-19 and examine the effects of intervention measur…
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)…
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…