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Mostrando ítems 31-40 de 53
Artículo
Pullback Attractors for a Semilinear Heat Equation In a Non-Cylindrical Domain
(Elsevier, 2008)
The existence and uniqueness of a variational solution satisfying energy equality is proved for a semilinear heat equation in a non-cylindrical domain with homogeneous Dirichlet boundary condition, under the assumption ...
Artículo
Discretization of Asymptotically Stable Stationary Solutions of Delay Differential Equations with a Random Stationary Delay
(2006)
We prove the existence of a stationary random solution to a delay random ordinary differential system which attracts all other solutions in both pullback and forwards senses. The equation contains a one-sided dissipative ...
Artículo
Pullback Attractors for Globally Modified Navier-Stokes Equations with Infinite Delays
(American Institute of Mathematical Sciences (AIMS), 2011)
Existence and uniqueness of solution for a globally modified version of Navier-Stokes equations containing infinite delay terms are established. Moreover, we also analyze the stationary problem and, under suitable additional ...
Artículo
On the asymptotic behaviour of a stochastic 3D Lans-Alpha model
(2011)
The long-time behaviour of a stochastic 3D LANS-® model on a bounded domain is analysed. First, we reformulate the model as an abstract problem. Next, we establish sufficient conditions ensuring the existence of stationary ...
Artículo
Artículo
Equivalence of Invariant Measures and Stationary Statistical Solutions for The Autonomous Globally Modified Navier-Stokes Equations
(American Institute of Mathematical Sciences (AIMS), 2009)
A new proof of existence of solutions for the three dimensional system of globally modified Navier-Stokes equations introduced in [3] by Caraballo, Kloeden and Real is obtained using a smoother Galerkin scheme. This is ...
Artículo
Invariant Measures and Statistical Solutions of the Globally Modified Navier-Stokes Equations
(2008)
We obtain regularity results for solutions of the three dimensional system of globally modified Navier-Stokes equations, and we investigate the relationship between global attractors, invariant measures, time-average ...
Artículo
Artículo
Partial Differential Equations with Delayed Random Perturbations: Existence, Uniqueness and Stability of Solutions
(1993)
We consider a stochastic non–linear Partial Differential Equation with delay which may be regarded as a perturbed equation. First, we prove the existence and the uniqueness of solutions. Next, we obtain some stability ...
Artículo
H^2-boundedness of the pullback attractors for non-autonomous 2D Navier-Stokes equations in bounded domains
(Elsevier, 2011)
We prove some regularity results for the pullback attractors of a non-autonomous 2D Navier–Stokes model in a bounded domain Ω of R2. We establish a general result about (H2(Ω))2∩V-boundedness of invariant sets for the ...