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Mostrando ítems 1-10 de 18
Artículo
Global and Pullback Attractors of Set-Valued Skew Product Flows
(2006)
We investigate the asymptotic behaviour of a general set-valued skew product flow (SVSPF), that is, a set-valued cocycle mapping (coming from a nonautonomous differential equation or inclusion) driven by another, ...
Artículo
Attractors for The Stochastic 3D Navier-Stokes Equations
(World Scientific Publishing, 2003)
In a 1997 paper, Ball defined a generalised semiflow as a means to consider the solutions of equations without (or not known to possess) the property of uniqueness. In particular he used this to show that the 3D Navier–Stokes ...
Artículo
Autonomous and non-autonomous attractors for differential equations with delays
(2005)
The asymptotic behaviour of some types of retarded differential equations, with both variable and distributed delays, is analyzed. In fact, the existence of global attractors is established for different situations: with ...
Artículo
Attractors for 2D-Navier-Stokes Equations with Delays on Some Unbounded Domains
(Elsevier, 2007)
We prove the existence of tempered and nontempered pullback attractors for two dimensional Navier–Stokes equations on unbounded domains satisfying Poincaré inequality, for the case in which a forcing term involving memory ...
Artículo
Numerical and finite delay approximations of attractors for logistic differential-integral equations with infinite delay
(2007)
The upper semi-continuous convergence of approximate attractors for an infinite delay differential equation of logistic type is proved, first for the associated truncated delay equation with finite delay and then for a ...
Artículo
On The Relation Between Two Different Concepts of Pullback Attractors for Non-Autonomous Dynamical Systems
(Elsevier, 2009)
For an abstract dynamical system, we establish, under minimal assumptions, the existence of D-attractor, i.e. a pullback attractor for a given class D of families of time varying subsets of the phase space. We relate this ...
Artículo
Artículo
Some Results on Stochastic Differential Equations with Reflecting Boundary Conditions
(Springer Verlag (Germany), 2004)
Some results related to stochastic differential equations with reflecting boundary conditions (SDER) are obtained. Existence and uniqueness of strong solution is ensured under the relaxation on the drift coefficient (instead ...
Artículo
Existence and Asymptotic Behaviour for Stochastic Heat Equations with Multiplicative Noise in Materials With Memory
(2007)
The existence and uniqueness of solutions for a stochastic reaction-diffusion equation with infinite delay is proved. Sufficient conditions ensuring stability of the zero solution are provided and a possibility of stabilization ...
Artículo
A Comparison Between Two Theories for Multi-Valued Semiflows and Their Asymptotic Behaviour
(2003)
This paper presents a comparison between two abstract frameworks in which one can treat multi-valued semiflows and their asymptotic behaviour. We compare the theory developed by Ball [5] to treat equations whose solutions ...