Data

NameMarín Rubio, Pedro
DepartmentEcuaciones Diferenciales y Análisis Num.
Knowledge areaAnálisis Matemático
Professional categoryCatedrático de Universidad
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  • Items

    62

  • Visits

    6388

  • Downloads

    8863

  Publications

 

Article
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Robustness of dynamically gradient multivalued dynamical systems

Caballero Toro, Rubén; Carvalho, Alexandre Nolasco; Marín Rubio, Pedro; Valero Cuadra, José (American Institute of Mathematical Sciences, 2019-03-01)
In this paper we study the robustness of dynamically gradient multivalued semiflows. As an application, we describe the ...
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Stability results for 2D Navier-Stokes equations with unbounded delay

Liu, Linfang; Caraballo Garrido, Tomás; Marín Rubio, Pedro (Elsevier, 2018-12-05)
Some results related to 2D Navier-Stokes equations when the external force contains hereditary characteristics involving ...
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Time-dependent attractors for non-autonomous nonlocal reaction-diffusion equations

Caraballo Garrido, Tomás; Herrera Cobos, Marta; Marín Rubio, Pedro (Cambridge University Press, 2018-10-01)
In this paper, the existence and uniqueness of weak and strong solutions for a non-autonomous nonlocal reaction-diffusion ...
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Robustness of time-dependent attractors in H1-norm for nonlocal problems

Caraballo Garrido, Tomás; Herrera Cobos, Marta; Marín Rubio, Pedro (American Institute of Mathematical Sciences, 2018-05-01)
In this paper, the existence of regular pullback attractors as well as their upper semicontinuous behaviour in H1-norm are ...
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Asymptotic behaviour of nonlocal p-Laplacian reaction-diffusion problems

Caraballo Garrido, Tomás; Herrera Cobos, Marta; Marín Rubio, Pedro (Elsevier, 2018-03-01)
In this paper, we focus on studying the existence of attractors in the phase spaces L2(Ω) and Lp(Ω) (among others) for ...
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Pullback exponential attractors for parabolic equations with dynamical boundary conditions

Czaja, Radoslaw; Marín Rubio, Pedro (Mathematical Society of the Republic of China, 2017-08-01)
The existence of pullback exponential attractors for a nonautonomous semilinear parabolic equation with dynamical boundary ...
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Global attractor for a nonlocal p-Laplacian equation without uniqueness of solution

Caraballo Garrido, Tomás; Herrera Cobos, Marta; Marín Rubio, Pedro (American Institute of Mathematical Sciences, 2017-07-01)
In this paper, the existence of solution for a p-Laplacian parabolic equation with nonlocal diffusion is established. To ...
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Dynamics of wave equations with moving boundary

Ma, To Fu; Marín Rubio, Pedro; Surco Chuño, Christian Manuel (Elsevier, 2017-03-05)
This paper is concerned with long-time dynamics of weakly damped semilinear wave equations defined on domains with moving ...
PhD Thesis
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Comportamiento asintótico en tiempo de ecuaciones en derivadas parciales no locales

Marín Rubio, Pedro; Caraballo Garrido, Tomás; Herrera Cobos, Marta (2016-06-23)
En las últimas décadas muchos investigadores han estado interesados en estudiar problemas no locales por su utilidad en ...
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Asymptotic behaviour of a system of micropolar equations

Marín Rubio, Pedro; Poblete Cantellano, Mariano; Rojas Medar, Marko Antonio; Torres Cerda, Francisco Javier (Bolyai Institute (University of Szeged), 2016-01-01)
This work is concerned with three-dimensional micropolar fluids flows in a bounded domain with boundary of class C∞. Based ...
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Robustness of nonautonomous attractors for a family of nonlocal reaction–diffusion equations without uniqueness

Caraballo Garrido, Tomás; Herrera Cobos, Marta; Marín Rubio, Pedro (Springer, 2015-06-17)
In this paper, we consider a non-autonomous nonlocal reactiondiffusion equation with a small perturbation in the nonlocal ...
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Semilinear fractional differential equations: global solutions, critical nonlinearities and comparison results

Andrade, Bruno de; Carvalho, Alexandre Nolasco; Mendes de Carvalho Neto, Paulo; Marín Rubio, Pedro (Nicolaus Copernicus University in Torun, Juliusz Schauder Centre for Nonlinear Studies, 2015-06-01)
In this work we study several questions concerning to abstract fractional Cauchy problems of order α ∈ (0, 1). Concretely, ...
Presentation
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Long-time behavior of a non-autonomous parabolic equation with nonlocal diffusion and sublinear terms

Caraballo Garrido, Tomás; Herrera Cobos, Marta; Marín Rubio, Pedro (Pergamon Press, 2015-01-01)
This paper is devoted to study the asymptotic behavior of a time-dependent parabolic equation with nonlocal diffusion and ...
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Pullback attractors for the non-autonomous 2D Navier-Stokes equations for minimally regular forcing

García Luengo, Julia María; Marín Rubio, Pedro; Real Anguas, José; Robinson, James C. (American Institute of Mathematical Sciences, 2014-01-01)
This paper treats the existence of pullback attractors for the non-autonomous 2D Navier--Stokes equations in two different ...
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Attractors for a Double Time-Delayed 2D-Navier-Stokes Model

García Luengo, Julia María; Marín Rubio, Pedro; Planas, Gabriela (American Institute of Mathematical Sciences, 2014-01-01)
In this paper, a double time-delayed 2D-Navier-Stokes model is considered. It includes delays in the convective and the ...
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Reaction-Diffusion Equations with Non-Autonomous Force In H-1 and Delays Under Measurability Conditions on The Driving Delay Term

García Luengo, Julia María; Marín Rubio, Pedro (Elsevier, 2014-01-01)
In this paper we analyze the existence of solutions for a reaction–diffusion problem with hereditary effects and a ...
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Regularity Results and Exponential Growth for Pullback Attractors of a Non-Autonomous Reaction-Diffusion Model with Dynamical Boundary Conditions

Anguiano Moreno, María; Marín Rubio, Pedro; Real Anguas, José (Elsevier, 2014-01-01)
In this paper, we prove some regularity results for pullback attractors of a non-autonomous reaction–diffusion model with ...
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Regularity of pullback attractors and attraction in H1 in arbitrarily large finite intervals for 2D Navier-Stokes equations with infinite delay

García Luengo, Julia María; Marín Rubio, Pedro; Real Anguas, José (American Institute of Mathematical Sciences, 2014-01-01)
In this paper we strengthen some results on the existence and properties of pullback attractors for a non-autonomous 2D ...
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Gradient-like nonlinear semigroups with infinitely many equilibria and applications to cascade systems

Aragão Costa, Eder Ritis; Carvalho, Alexandre Nolasco; Marín Rubio, Pedro; Planas, Gabriela (Nicolaus Copernicus University in Torun, Juliusz Schauder Centre for Nonlinear Studies, 2013-12-01)
We consider an autonomous dynamical system coming from a coupled system in cascade where the uncoupled part of the system ...
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The Envelope Attractor of Non-Strict Multivalued Dynamical Systems with Application To The 3D Navier-Stokes and Reaction-Diffusion Equations

Kloeden, Peter E.; Marín Rubio, Pedro; Valero Cuadra, José (Springer Verlag (Germany), 2013-01-01)
Multivalued semiflows generated by evolution equations without uniqueness sometimes satisfy a semigroup set inclusion ...
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Solutions of The 3D Navier-Stokes Equations for Initial Data In H¿1/2: Robustness of Regularity and Numerical Verification of Regularity for Bounded Sets of Initial Data In H¿1

Marín Rubio, Pedro; Robinson, James C.; Sadowski, Witold (Elsevier, 2013-01-01)
We consider the three-dimensional Navier–Stokes equations on a periodic domain. We give a simple proof of the local existence ...
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Asymptotic Behaviour of Solutions for a Three Dimensional System of Globally Modified Navier-Stokes Equations with a Locally Lipschitz Delay Term

Marín Rubio, Pedro; Márquez Durán, Antonio Miguel; Real Anguas, José (Elsevier, 2013-01-01)
Existence, uniqueness, and continuity properties of solutions for a globally modified version of Navier–Stokes equations ...
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Pullback Attractors for 2D Navier-Stokes Equations with Delays and Their Regularity

García Luengo, Julia María; Marín Rubio, Pedro; Real Anguas, José (, 2013-01-01)
PhD Thesis
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Estudio del comportamiento asintótico de las ecuaciones de Navier-Stokes no autónomas y algunas de sus variantes Study of the asynmptotic behavioru of the non-autonomous Navier-Stokes equations and some of their variations

Marín Rubio, Pedro; García Luengo, Julia María (2013-01-01)
Una de las ramas de la Física más interesantes y complicadas de investigar es la Mecánica de Fluidos, que estudia el ...
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Pullback Attractors for Three-Dimensional Non-Autonomous Navier-Stokes-Voigt Equations

García Luengo, Julia María; Marín Rubio, Pedro; Real Anguas, José (IOP Publishing, 2012-01-01)
In this paper, we consider a non-autonomous Navier–Stokes–Voigt model, with which a continuous process can be associated. ...
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Global Attractor and Omega-Limit Sets Structure for a Phase-Field Model of Thermal Alloys

Planas, Gabriela; Marín Rubio, Pedro (Elsevier, 2012-01-01)
In this paper, the existence of weak solutions is established for a phase-field model of thermal alloys supplemented with ...
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Pullback attractors in V for non-autonomous 2D-Navier-Stokes equations and their tempered behaviour

García Luengo, Julia María; Marín Rubio, Pedro; Real Anguas, José (Elsevier, 2012-01-01)
In this paper the asymptotic behaviour of the solutions to a non-autonomous 2D-Navier–Stokes model is analyzed when the ...
Presentation
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Convergencia de las ecuaciones de Navier-Stokes Globalmente Modificadas con retardo a las ecuaciones de Navier-Stokes

Marín Rubio, Pedro; Márquez Durán, Antonio Miguel (2011-09-01)
En esta comunicación demostramos que, bajo ciertas hipótesis, de una sucesión de soluciones del modelo Navier-Stokes ...
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On The Convergence of Solutions of Globally Modified Navier-Stokes Equations with Delays To Solutions of Navier-Stokes Equations with Delays

Marín Rubio, Pedro; Real Anguas, José; Márquez Durán, Antonio Miguel (, 2011-01-01)
We prove that under suitable assumptions, from a sequence of solutions of globally modified Navier-Stokes equations with ...
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H^2-boundedness of the pullback attractors for non-autonomous 2D Navier-Stokes equations in bounded domains

García Luengo, Julia María; Marín Rubio, Pedro; Real Anguas, José (Elsevier, 2011-01-01)
We prove some regularity results for the pullback attractors of a non-autonomous 2D Navier–Stokes model in a bounded domain ...
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Negatively Invariant Sets and Entire Solutions

Kloeden, Peter E.; Marín Rubio, Pedro (Springer Verlag (Germany), 2011-01-01)
Negatively invariant compact sets of autonomous and nonautonomous dynamical systems on a metric space, the latter formulated ...
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Negatively Invariant Sets and Entire Trajectories of Set-Valued Dynamical Systems

Kloeden, Peter E.; Marín Rubio, Pedro (Springer Verlag (Germany), 2011-01-01)
Strongly negatively invariant compact sets of set-valued autonomous and nonautonomous dynamical systems on a complete ...
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Pullback Attractors for Non-Autonomous Reaction-Diffusion Equations with Dynamical Boundary Conditions

Anguiano Moreno, María; Marín Rubio, Pedro; Real Anguas, José (Elsevier, 2011-01-01)
In this paper we prove the existence and uniqueness of a weak solution for a non-autonomous reaction–diffusion model with ...
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Pullback Attractors for Globally Modified Navier-Stokes Equations with Infinite Delays

Marín Rubio, Pedro; Márquez Durán, Antonio Miguel; Real Anguas, José (American Institute of Mathematical Sciences (AIMS), 2011-01-01)
Existence and uniqueness of solution for a globally modified version of Navier-Stokes equations containing infinite delay ...
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Pullback Attractors for a 2D-Navier-Stokes Model In an Infinite Delay Case

Marín Rubio, Pedro; Real Anguas, José; Valero Cuadra, José (Elsevier, 2011-01-01)
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Acción tutorial en el EEES en la Facultad de Farmacia de la US: 4 años de experiencia de un programa de alumnos tutores

Fernández Arévalo, María Mercedes; Álvarez Fuentes, Josefa; Ferrero Rodríguez, Carmen; Marín Rubio, Pedro; Mate Barrero, Alfonso; Millán Jiménez, Mónica; Morales González, Julia; Peral Rubio, María José; Pichardo Sánchez, Silvia; Gutiérrez-Praena, Daniel; Vega Pérez, José Manuel (2010-01-01)
La Facultad de Farmacia de la Universidad de Sevilla (US) tiene en marcha un Programa de Alumnos Tutores desde 2006/07 con ...
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Pullback Attractors for 2D-Navier-Stokes Equations with Delays In Continuous and Sub-Linear Operators

Marín Rubio, Pedro; Real Anguas, José (American Institute of Mathematical Sciences, 2010-01-01)
We obtain a result of existence of solutions to the 2D-Navier-Stokes model with delays, when the forcing term containing ...
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Probabilistic Representation of Solutions for Quasi-Linear Parabolic Pde Via Fbsde with Reflecting Boundary Conditions

Marín Rubio, Pedro; Real Anguas, José (, 2010-01-01)
A probabilistic representation of the solution (in the viscosity sense) of a quasi-linear parabolic PDE system with ...
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Attractors for Parametric Delay Differential Equations and Their Continuous Behavior

Marín Rubio, Pedro (World Scientific, 2010-01-01)
The problem of the continuity of global attractors under minimal assumptions for a general class of parameterized delay ...
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Three Dimensional System of Globally Modified Navier-Stokes Equations with Infinite Delays

Marín Rubio, Pedro; Márquez Durán, Antonio Miguel; Valero Cuadra, José (American Institute of Mathematical Sciences, 2010-01-01)
Existence and uniqueness of solution for a globally modified version of Navier-Stokes equations containing infinite delay ...
Presentation
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Estudio de una ecuación del calor semilineal en dominios no-cilíndricos

Marín Rubio, Pedro; Kloeden, Peter E.; Real Jurado, Pedro (2009-09-01)
En esta comunicación presentaremos resultados de existencia y unicidad de soluciones que verifican una igualdad de energía ...
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On The Relation Between Two Different Concepts of Pullback Attractors for Non-Autonomous Dynamical Systems

Marín Rubio, Pedro; Real Anguas, José (Elsevier, 2009-01-01)
For an abstract dynamical system, we establish, under minimal assumptions, the existence of D-attractor, i.e. a pullback ...
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Asymptotic Behaviour of a Phase-Field Model with Three Coupled Equations Without Uniqueness

Marín Rubio, Pedro; Planas, Gabriela; Real Anguas, José (Elsevier, 2009-01-01)
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Equivalence of Invariant Measures and Stationary Statistical Solutions for The Autonomous Globally Modified Navier-Stokes Equations

Kloeden, Peter E.; Marín Rubio, Pedro; Real Anguas, José (American Institute of Mathematical Sciences (AIMS), 2009-01-01)
A new proof of existence of solutions for the three dimensional system of globally modified Navier-Stokes equations ...
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Equi-Attraction and The Continuous Dependence of Attractors on Time Delays

Kloeden, Peter E.; Marín Rubio, Pedro (American Institute of Mathematical Sciences, 2008-01-01)
Under appropriate regularity conditions it is shown that the continuous dependence of the global attractors \mathcal{A}_\tau ...
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Pullback Attractors for a Semilinear Heat Equation In a Non-Cylindrical Domain

Kloeden, Peter E.; Marín Rubio, Pedro; Real Anguas, José (Elsevier, 2008-01-01)
The existence and uniqueness of a variational solution satisfying energy equality is proved for a semilinear heat equation ...
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Attractors for Parametric Delay Differential Equations Without Uniqueness and Their Upper Semicontinuous Behaviour

Marín Rubio, Pedro (Elsevier, 2008-01-01)
We prove existence of a global attractor A(λ) under minimal assumptions for a general class of parameterized delay ...
Presentation
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Equi-atracción y dependencia continua de atractores para ecuaciones con retardo

Marín Rubio, Pedro; Kloeden, Peter E. (2007-09-01)
En esta comunicación se presentan brevemente los resultados del trabajo [P. E. Kloeden & P. Marín-Rubio. Equi-Attraction ...
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Numerical and finite delay approximations of attractors for logistic differential-integral equations with infinite delay

Caraballo Garrido, Tomás; Kloeden, Peter E.; Marín Rubio, Pedro (2007-01-01)
The upper semi-continuous convergence of approximate attractors for an infinite delay differential equation of logistic ...
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Attractors for differential equations with unbounded delays

Caraballo Garrido, Tomás; Marín Rubio, Pedro; Valero Cuadra, José (Elsevier, 2007-01-01)
We prove the existence of attractors for some types of differential problems containing infinite delays. Applications and ...
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Attractors for 2D-Navier-Stokes Equations with Delays on Some Unbounded Domains

Marín Rubio, Pedro; Real Anguas, José (Elsevier, 2007-01-01)
We prove the existence of tempered and nontempered pullback attractors for two dimensional Navier–Stokes equations on ...
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Existence and Asymptotic Behaviour for Stochastic Heat Equations with Multiplicative Noise in Materials With Memory

Caraballo Garrido, Tomás; Chueshov, Igor D.; Marín Rubio, Pedro; Real Anguas, José (2007-01-01)
The existence and uniqueness of solutions for a stochastic reaction-diffusion equation with infinite delay is proved. ...
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Navier-Stokes equations with delays on unbounded domains

Garrido Atienza, María José; Marín Rubio, Pedro (Elsevier, 2006-01-01)
Some results on the existence and uniqueness of solutions to Navier–Stokes equations when the domain is unbounded and the ...
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Global and Pullback Attractors of Set-Valued Skew Product Flows

Caraballo Garrido, Tomás; Kloeden, Peter E.; Marín Rubio, Pedro (2006-01-01)
We investigate the asymptotic behaviour of a general set-valued skew product flow (SVSPF), that is, a set-valued cocycle ...
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Autonomous and non-autonomous attractors for differential equations with delays

Caraballo Garrido, Tomás; Marín Rubio, Pedro; Valero Cuadra, José (2005-01-01)
The asymptotic behaviour of some types of retarded differential equations, with both variable and distributed delays, is ...
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Some Results on Stochastic Differential Equations with Reflecting Boundary Conditions

Marín Rubio, Pedro; Real Anguas, José (Springer Verlag (Germany), 2004-01-01)
Some results related to stochastic differential equations with reflecting boundary conditions (SDER) are obtained. Existence ...
PhD Thesis
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Existencia, unicidad y comportamiento asintótico en algunos sistemas dinámicos deterministas y estocásticos

Real Anguas, José; Caraballo Garrido, Tomás; Marín Rubio, Pedro (2003-05-23)
La memoria está compuesta de dos partes: la primera se enmarca dentro del Análisis Estocástico y la segunda parte en la ...
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Weak Pullback Attractors of Non-Autonomous Difference Inclusions

Kloeden, Peter E.; Marín Rubio, Pedro (Taylor & Francis, 2003-01-01)
Weak pullback attractors are defined for non-autonomous difference inclusions and their existence and upper semi continuous ...
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A Comparison Between Two Theories for Multi-Valued Semiflows and Their Asymptotic Behaviour

Caraballo Garrido, Tomás; Marín Rubio, Pedro; Robinson, James C. (2003-01-01)
This paper presents a comparison between two abstract frameworks in which one can treat multi-valued semiflows and their ...
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Attractors for The Stochastic 3D Navier-Stokes Equations

Marín Rubio, Pedro; Robinson, James C. (World Scientific Publishing, 2003-01-01)
In a 1997 paper, Ball defined a generalised semiflow as a means to consider the solutions of equations without (or not ...
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Weak pullback attractors of setvalued processes

Caraballo Garrido, Tomás; Kloeden, Peter E.; Marín Rubio, Pedro (2003-01-01)
Weak pullback attractors are de ned for nonautonomous setvalued processes and their existence and upper semi continuous ...