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Artículo
Stability results for 2D Navier-Stokes equations with unbounded delay
(Elsevier, 2018-12-05)
Some results related to 2D Navier-Stokes equations when the external force contains hereditary characteristics involving unbounded delays are analyzed. First, the existence and uniqueness of solutions is proved by Galerkin ...
Artículo
Exponential stability of stochastic evolution equations driven by small fractional Brownian motion with Hurst parameter in (1/2,1)
(Elsevier, 2018-01-15)
This paper addresses the exponential stability of the trivial solution of some types of evolution equations driven by Hölder continuous functions with H¨older index greater than 1/2. The results can be applied to the case ...
Artículo
Stability of Gradient Semigroups Under Perturbations
(2011)
In this paper we prove that gradient-like semigroups (in the sense of Carvalho and Langa (2009 J. Diff. Eqns 246 2646–68)) are gradient semigroups (possess a Lyapunov function). This is primarily done to provide conditions ...
Artículo
Asymptotic Behaviour of 2D-Navier-Stokes Equations with Delays
(2003)
Some results on the asymptotic behaviour of solutions to Navier-Stokes equations when the external force contains some hereditary characteristics are proved. We show two different approaches to prove the convergence of ...
Artículo
About the Structure of Attractors for a Nonlocal Chafee-Infante Problem
(MDPI, 2021)
In this paper, we study the structure of the global attractor for the multivalued semiflow generated by a nonlocal reaction-diffusion equation in which we cannot guarantee the uniqueness of the Cauchy problem. First, we ...
Artículo
On the Pathwise Exponential Stability of Nonlinear Stochastic Partial-Differential Equations
(1994)
Sufficient conditions to get exponential stability for the sample paths (with probability one) of a non-linear monotone stochastic Partial Differential Equation are proved. In fact, we improve a stability criterion established ...
Artículo
On the asymptotic behavior of highly nonlinear hybrid stochastic delay differential equations
(American Institute of Mathematical Sciences, 2019-10)
In this paper, under a local Lipschitz condition and a monotonicity condition, the problems on the existence and uniqueness theorem as well as the almost surely asymptotic behavior for the global solution of highly nonlinear ...
Artículo
On the stability of impulsive functional differential equations with infinite delays
(2015)
In this paper, the stability problem of impulsive functional differential equations with infinite delays is considered. By using Lyapunov functions and the Razumikhin technique, some new theorems on the uniform stability ...
Artículo
Stability and convergence of two discrete schemes for a degenerate solutal non-isothermal phase-field model
(EDP Sciences, 2009)
We analyze two numerical schemes of Euler type in time and C0 finite-element type with P1-approximation in space for solving a phase-field model of a binary alloy with thermal properties. This model is written as a highly ...
Artículo
Stability of regular attractors for non-autonomous random dynamical systems and applications to stochastic Newton-Boussinesq equations with delays
(Elsevier, 2023-10-03)
In this paper, we establish theoretical results on the stability of random regular attractors. First, we introduce a backward regular attractor, which is a new type of attractor defined by a minimal backward pullback ...