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Mostrando ítems 1-7 de 7
Artículo
The Exponential Behaviour and Stabilizability of Stochastic 2D-Navier-Stokes Equations
(2002)
Some results on the pathwise exponential stability of the weak solutions to a stochastic 2D-Navier-Stokes equation are established. The first ones are proved as a consequence of the exponential mean square stability of ...
Artículo
Long time dynamics for functional three-dimensional Navier-Stokes-Voigt equations
(AIMS PressAIMS Press, 2020-06-24)
In this paper we consider a non-autonomous Navier-Stokes-Voigt model including a variety of delay terms in a unified formulation. Firstly, we prove the existence and uniqueness of solutions by using a Galerkin scheme. Next, ...
Artículo
Stability of delay evolution equations with stochastic perturbations
(2014)
The investigation of stability for hereditary systems is often related to the construction of Lyapunov functionals. The general method of Lyapunov functionals construction, which was proposed by V.Kolmanovskii and L.Shaikhet, ...
Artículo
Exponentially Stable Stationary Solutions for Stochastic Evolution Equations and Their Perturbation
(2004)
We consider the exponential stability of stochastic evolution equations with Lipschitz continuous non-linearities when zero is not a solution for these equations. We prove the existence of a non-trivial stationary solution ...
Artículo
Stabilization of Stationary Solutions of Evolution Equations by Noise
(2006)
We investigate the existence, uniqueness and exponential stability of non-constant stationary solutions of stochastic semilinear evolution equations. Our main result shows, in particular, that noise can have a stabilization ...
Artículo
The Exponential Stability of Neutral Stochastic Delay Partial Differential Equations
(2007)
In this paper we analyse the almost sure exponential stability and ultimate boundedness of the solutions to a class of neutral stochastic semilinear partial delay differential equations. This kind of equations arises in ...
Artículo
Nonlinear Partial Functional Differential Equations: Existence and Stability
(2001)
Existence and uniqueness of solutions for a class of nonlinear functional differential equations in Hilbert spaces are established. Sufficient conditions which guarantee the transference of exponential stability from partial ...