7 papers
Global hypoellipticity and global solvability of Vekua-type operators associated with diagonal operators on compact Lie groups
Ricardo Paleari da Silva
In this paper, we study Vekua-type operators associated with diagonal operators on compact Lie groups. Characterizations of global hypoellipticity and global solvability properties…
Non-dissipative system as limit of a dissipative one: comparison of the asymptotic regimes
Ricardo P. Silva
Let be a bounded smooth domain (open and connected) in . Given , and , our purpose is to de…
Upper semicontinuity of global attractors for parabolic equations governed by the p-laplacian on unbounded thin domains
Ricardo P. Silva
We consider the asymptotic behavior of quasilinear parabolic equations posed in a family of unbounded domains that degenerates onto a lower dimensional set. Considering an auxiliar…
Correctors for the Neumann problem in thin domains with locally periodic oscillatory structure
Marcone C. Pereira, Ricardo P. Silva
In this paper we are concerned with convergence of solutions of the Poisson equation with Neumann boundary conditions in a two-dimensional thin domain exhibiting highly oscillatory…
Perturbation of a nonautonomous problem in
Erika Capelato, Karina Schiabel-Silva, Ricardo Parreira da Silva
In this paper we prove a stability result about the asymptotic dynamics of a perturbed nonautonomous evolution equation in governed by a maximal monotone operator.
What can we expect of the heat in a thin plate ?
Vanderlei Marcos do Nascimento, Ricardo Parreira da Silva
We illustrate, with a simple example of domain perturbation problem, how Linear Algebra can be applied to determine the behavior of a family of partial differential equations posed…