Browsing Artículos (Ecuaciones Diferenciales y Análisis Numérico) by Title
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Random attractors for stochastic 2DNavierStokes equations in some unbounded domains [Article]
(2013)We show that the stochastic flow generated by the 2dimensional Stochastic NavierStokes equations with rough noise on a Poincar´elike domain has a unique random attractor. One of the technical problems associated with ... 
Random attractors for stochastic evolution equations driven by fractional brownian motion [Article]
(Society for Industrial and Applied Mathematics, 2014)The main goal of this article is to prove the existence of a random attractor for a stochastic evolution equation driven by a fractional Brownian motion with Hurst parameter H ∈ (1/2, 1). We would like to emphasize that ... 
Random attractors for stochastic lattice dynamical systems with infinite multiplicative white noise [Article]
(2016)In this paper we investigate the long term behavior of a stochastic lattice dynamical system with a diffusive nearest neighbor interaction, a dissipative nonlinear reaction term, and a different multiplicative white noise ... 
Random attractors for stochastic lattice systems with nonLipschitz nonlinearity [Article]
(2012)In this paper we study the asymptotic behaviour of solutions of a firstorder stochastic lattice dynamical system with an additive noise. We do not assume any Lipschitz condition on the nonlinear term, just a continuity ... 
Random dynamical systems for stochastic evolution equations driven by multiplicative fractional Brownian noise with Hurst parameters H∈(1/3,1/2] [Article]
(Society for Industrial and Applied Mathematics, 2016)We consider the stochastic evolution equation du = Audt + G(u)dω, u(0) = u0 in a separable Hilbert space V . Here G is supposed to be three times Fr´echetdifferentiable and ω is a trace class fractional Brownian motion ... 
Random pullback exponential attractors: general existence results for random dynamical systems in Banach spaces [Article]
(American Institute of Mathematical Sciences, 201712)We derive general existence theorems for random pullback exponential attractors and deduce explicit bounds for their fractal dimension. The results are formulated for asymptotically compact random dynamical systems in ... 
ReactionDiffusion Equations with NonAutonomous Force In H1 and Delays Under Measurability Conditions on The Driving Delay Term [Article]
(Elsevier, 2014)In this paper we analyze the existence of solutions for a reaction–diffusion problem with hereditary effects and a timedependent force term with values in H−1. The main novelty is that the delay term may be driven by a ... 
Recent developments in dynamical systems: three perspectives [Article]
(2010)This paper aims to an present account of some problems considered in the past years in Dynamical Systems, new research directions and also provide some open problems. 
Recent results on stabilization of PDEs by noise [Article]
(Sociedad Española de Matemática Aplicada, 200612)This paper is intended to be a brief review on some recent results on the stabilization effect produced by noise in phenomena modelled by partial differential equations. We emphasyse the different effects that distinct ... 
Recent results on the controllability of linear coupled parabolic problems: A survey [Article]
(American Institute of Mathematical Sciences, 201109)This paper tries to summarize recent results on the controllability of systems of (several) parabolic equations. The emphasis is placed on the extension of the Kalman rank condition (for finite dimensional systems of ... 
Recursive POD expansion for reactiondiffusion equation [Article]
(Springer Open, 201612)This paper focuses on the lowdimensional representation of multivariate functions. We study a recursive POD representation, based upon the use of the power iterate algorithm to recursively expand the modes retained in the ... 
Recursive POD expansion for the advectiondiffusionreaction equation [Article]
(Global Science Press, 201811)This paper deals with the approximation of advectiondiffusionreaction equation solution by reduced order methods. We use the Recursive POD approximation for multivariate functions introduced in [M. AZAÏEZ, F. BEN BELGACEM, ... 
Refuge versus dispersion in the logistic equation [Article]
(Elsevier, 20170605)In this paper we consider a logistic equation with nonlinear diffusion arising in population dynamics. In this model, there exists a refuge where the species grows following a Malthusian law and, in addition, there exists ... 
Regularity and structure of pullback attractors for reactiondiffusion type systems without uniqueness [Article]
(Elsevier, 201607)In this paper, we study the pullback attractor for a general reactiondiffusion system for which the uniqueness of solutions is not assumed. We first establish some general results for a multivalued dynamical system to ... 
Regularity and timeperiodicity for a nematic liquid crystal model [Article]
(Elsevier, 200907)In this paper two main results are obtained for a nematic liquid crystal model with timedependent boundary Dirichlet data for the orientation of the crystal molecules. First, the initialboundary problem is considered, ... 
Regularity of pullback attractors and attraction in H1 in arbitrarily large finite intervals for 2D NavierStokes equations with infinite delay [Article]
(American Institute of Mathematical Sciences, 2014)In this paper we strengthen some results on the existence and properties of pullback attractors for a nonautonomous 2D NavierStokes model with infinite delay. Actually we prove that under suitable assumptions, and thanks ... 
Regularity Results and Exponential Growth for Pullback Attractors of a NonAutonomous ReactionDiffusion Model with Dynamical Boundary Conditions [Article]
(Elsevier, 2014)In this paper, we prove some regularity results for pullback attractors of a nonautonomous reaction–diffusion model with dynamical boundary conditions considered in Anguiano (2011). Under certain assumptions of the nonlinear ... 
Relating disease and predation: equilibria of an epidemic model [Article]
(Wiley, 2005)In this paper, we would like compare the spread of an infectious disease in a population without the influence of a predator and under its influence. We show that it is possible to control an epidemic in a population with ... 
Relaxation of a control problem in the coefficients with a functional of quadratic growth in the gradient [Article]
(Society for Industrial and Applied Mathematics, 2008)We study an optimal design problem consisting in mixing two anisotropic (electric or thermal) materials in order to minimize a functional depending on the gradient of the state. It is known that this type of problem has ...