2 papers
math.DS2024
Finite Fractal Dimension of uniform attractors for non-autonomous dynamical systems with infinite dimensional symbol space
Rafael de Oliveira Moura, Alexandre Nolasco de Carvalho, José A. Langa
The aim of this paper is to find an upper bound for the box-counting dimension of uniform attractors for non-autonomous dynamical systems. Contrary to the results in literature, we…
math.AP2024
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…