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Browsing by Author "Anguiano Moreno, María"
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An exponential growth condition in H^2 for the pullback attractor of a nonautonomous reactiondiffusion equation [Article]
Anguiano Moreno, María; Caraballo Garrido, Tomás; Real Anguas, José (2001)Some exponential growth results for the pullback attractor of a reactiondiffusion when time goes to ¡1 are proved in this paper. First, a general result about Lp\H1 0 exponential growth is established. Then, under ...

Asymptotic Behaviour of a NonAutonomous Lorenz84 System [Article]
Anguiano Moreno, María; Caraballo Garrido, Tomás (2014)The so called Lorenz84 model has been used in climatological studies, for example by coupling it with a lowdimensional model for ocean dynamics. The behaviour of this model has been studied extensively since its introduction ...

Atractores para EDP parabólicas no lineales y no autónomas en dominios no acotados [PhD Thesis]
Anguiano Moreno, María (20110901)Este trabajo está dividido en cinco capítulos. En los Capítulos 1 y 3, se trata la parte teórica de los sistemas dinámicos no autónomos dentro del marco de los procesos y de los sistemas dinámicos no autónomos multivaluados. ...

Existence of pullback attractor for a reactiondiffusion equation in some unbounded domains with nonautonomous forcing term in H1 [Article]
Anguiano Moreno, María; Caraballo Garrido, Tomás; Real Anguas, José (2010) 
Existence, uniqueness and global behavior of the solutions to some nonlinear vector equations in a finite dimensional Hilbert space [Article]
Abdelli, Mama; Anguiano Moreno, María; Haraux, Alain (Elsevier, 201709)The initial value problem and global properties of solutions are studied for the vectorequation:(∥u′∥lu′)′ + ∥A1/2u∥β Au + g(u′) = 0 in a finite dimensional Hilbert space under suitable assumptions on g.

H2boundedness of the pullback attractor for a nonnutonomous reactiondiffusion equation [Article]
Anguiano Moreno, María; Caraballo Garrido, Tomás; Real Anguas, José (2010)We prove some regularity results for the pullback attractor of a reactiondiffusion model. First we establish a general result about H2boundedness of invariant sets for an evolution process. Then, as a consequence, we ...

Newtonian fluid flow in a thin porous medium with nonhomogeneous slip boundary conditions [Article]
Anguiano Moreno, María; Suárez Grau, Francisco Javier (American Institute of Mathematical Sciences, 201906)We consider the Stokes system in a thin porous medium Ωε of thickness ε which is perforated by periodically distributed solid cylinders of size ε. On the boundary of the cylinders we prescribe nonhomogeneous slip boundary ...

Nonlinear Reynolds equations for nonNewtonian thinfilm fluid flows over a rough boundary [Article]
Anguiano Moreno, María; Suárez Grau, Francisco Javier (Oxford University Press, 2019)We consider a nonNewtonian fluid flow in a thin domain with thickness ηε and an oscillating top boundary of period ε. The flow is described by the 3D incompressible NavierStokes system with a nonlinear viscosity, being ...

Pullback attractor for a nonautonomous reactiondiffusion equation in some unbounded domains [Article]
Anguiano Moreno, María (Sociedad Española de Matemática Aplicada, 2010)The existence of a pullback attractor in L2(Ω) for the following nonautonomous reactiondi usion equation ∂u ∂t − △u = f(u) + h(t), in Ω × (τ, +∞), u = 0, on ∂Ω × (τ, +∞), u(x, τ ) = uτ (x), x ∈ Ω, is proved in this ...

Pullback attractors for a nonautonomous integrodifferential equation with memory in some unbounded domains [Article]
Anguiano Moreno, María; Caraballo Garrido, Tomás; Real Anguas, José (2013)The main aim of this paper is to analyse the asymptotic behaviour of a nonautonomous integrodifferential parabolic equation of diffusion type with a memory term, expressed by convolution integrals involving infinite ...

Pullback Attractors for NonAutonomous ReactionDiffusion Equations with Dynamical Boundary Conditions [Article]
Anguiano Moreno, María; Marín Rubio, Pedro; Real Anguas, José (Elsevier, 2011)In this paper we prove the existence and uniqueness of a weak solution for a nonautonomous reaction–diffusion model with dynamical boundary conditions. After that, a continuous dependence result is established via an ...

Pullback attractors for reactiondiffusion equations in some unbounded domains with an H1 valued nonautonomous forcing term and without uniqueness of solutions [Article]
Anguiano Moreno, María; Caraballo Garrido, Tomás; Real Anguas, José; Valero Cuadra, José (2010)The existence of a pullback attractor for a reactiondiffusion equations in an unbounded domain containing a nonautonomous forcing term taking values in the space H−1, and with a continuous nonlinearity which does not ...

Regularity Results and Exponential Growth for Pullback Attractors of a NonAutonomous ReactionDiffusion Model with Dynamical Boundary Conditions [Article]
Anguiano Moreno, María; Marín Rubio, Pedro; Real Anguas, José (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 ...

The εentropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors [Article]
Anguiano Moreno, María; Haraux, Alain (American Institute of Mathematical Sciences, 201709)We prove an estimation of the Kolmogorov εentropy in H of the unitary ball in the space V, where H is a Hilbert space and V is a Sobolevlike subspace of H. Then, by means of Zelik’s result, an estimate of the fractal ...

Uniform boundedness of the attractor in H2 of a nonautonomous epidemiological system [Article]
Anguiano Moreno, María (Springer, 201812)In this paper, we prove the uniform boundedness of the pullback attractor of a nonautonomous SIR (susceptible, infected, recovered) model from epidemiology considered in Anguiano and Kloeden [M. Anguiano, P.E. Kloeden, ...