4 papers
Weak global attractor for the -Navier-Stokes equations via the globally modified Navier-Stokes equations
Matheus Cheque Bortolan, Alexandre Nolasco de Carvalho, Pedro Marín-Rubio +1
In this paper we obtain the existence of a weak global attractor for the three-dimensional Navier-Stokes equations, that is, a weakly compact set with an invariance property, that…
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…
A bifurcation problem for a one-dimensional p-Laplace elliptic problem with non-odd absorption
Alexandre Nolasco de Carvalho, Tito Luciano Mamani Luna
In this paper we study the existence of solutions of a one-dimensional eigenvalue problem such that , wh…
Finite-dimensional global attractors in Banach spaces
Alexandre N Carvalho, José A Langa, James C Robinson
We provide bounds on the upper box-counting dimension of negatively invariant subsets of Banach spaces, a problem that is easily reduced to covering the image of the unit ball unde…