5 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…
Convergence of solutions for a reaction-diffusion problem with fractional Laplacian
Jiaouhui Xu, Tomás Caraballo, José Valero
A kind of nonlocal reaction-diffusion equations on an unbounded domain containing fractional Laplacian operator is analyzed. To be precise, we prove the convergence of solutions of…
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…
The existence of isolating blocks for multivalued semiflows
Estefani M. Moreira, José Valero
In this article, we show the existence of an isolating block, a special neighborhood of an isolated invariant set, for multivalued semiflows acting on metric spaces (not locally co…
A weak comparison principle for reaction-diffusion systems
José Valero
In this paper we prove a weak comparison principle for a reaction-diffusion system without uniqueness of solutions. We apply the abstract results to the Lotka-Volterra system with…