5 citations · 15 across the 19 of their papers we have counts for
19 papers
Inertial manifolds for the nonlocal parabolic problem
Xiaoqing Yang, Alexandre N. Carvalho, Chunyou Sun
This paper provides an abstract framework for studying inertial manifolds associated with a class of nonlocal parabolic problems. In particular, by suitably modifying the nonlocal…
About the structure of attractors for a nonlocal Chafee-Infante problem
Rubén Caballero, Alexandre Nolasco Carvalho, Pedro Marín-Rubio +1
In this paper, we study the structure of the global attractor for the multivalued semiflow generated by a nonlocal reaction-diffusion equation in which we cannot guarantee uniquene…
Robustness of dynamically gradient multivalued dynamical systems
Rubén Caballero, Alexandre N. Carvalho, Pedro Marín-Rubio +1
In this paper we study the robustness of dynamically gradient multivalued semiflows. As an application, we describe the dynamical properties of a family of Chafee-Infante problems…
Existence, regularity and asymptotic behavior of solutions for a nonlocal Chafee-Infante Problem via semigroup theory
Tomás Caraballo, A. N. Carvalho, Yessica Julio
This article deals with the study of a non-local one-dimensional quasilinear problem with continuous forcing. We use a time-reparameterization to obtain a semilinear problem and st…
Lower semicontinuity of pullback attractors for a non-autonomous coupled system of strongly damped wave equations
Everaldo M. Bonotto, Alexandre N. Carvalho, Marcelo J. D. Nascimento +1
The aim of this paper is to study the robustness of the family of pullback attractors associated to a non-autonomous coupled system of strongly damped wave equations, given by the…
Bifurcation and hyperbolicity for a nonlocal quasilinear parabolic problem
José M. Arrieta, Alexandre N. Carvalho, Estefani M. Moreira +1
In this article, we study a one-dimensional nonlocal quasilinear problem of the form , with Dirichlet boundary conditions on the interval $[0,π…