3 papers
math.DS2021
Structure of the attractor for a non-local Chafee-Infante problem
Estefani M. Moreira, José Valero
In this article, we study the structure of the global attractor for a non-local one-dimensional quasilinear problem. The strong relation of our problem with a non-local version of…
math.DS2020
Stability and hyperbolicity of equilibria for a scalar nonlocal one-dimensional quasilinear parabolic problem
Alexandre N. Carvalho, Estefani M. Moreira
In this work, we present results on stability and hyperbolicity of equilibria for a scalar nonlocal one-dimensional quasilinear parabolic problem. We show that this nonlocal versio…
math.AP2019
A non-autonomous bifurcation problem for a non-local scalar one-dimensional parabolic equation
Alexandre N. Carvalho, Yanan Li, Tito L. M. Luna +1
In this paper we study the asymptotic behavior of solutions for a non-local non-autonomous scalar quasilinear parabolic problem in one space dimension. Our aim is to give a fairly…