Perfil del autor: Marín Rubio, Pedro
Datos institucionales
Nombre | Marín Rubio, Pedro |
Departamento | Ecuaciones Diferenciales y Análisis Numérico |
Área de conocimiento | Análisis Matemático |
Categoría profesional | Catedrático de Universidad |
Correo electrónico | Solicitar |
Estadísticas
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Nº publicaciones
67
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Nº visitas
9453
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Nº descargas
14339
Publicaciones |
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Trabajo Fin de Grado
Introducción a las ecuaciones estocásticas con ruido fraccionario
(2022)
En este trabajo intentamos dar un primer paso hacia la resolución de ecuaciones diferenciales estocásticas mediante la ... |
Trabajo Fin de Máster
Ecuaciones de Navier-Stokes y Atractores
(2021)
Este trabajo aborda uno de los problemas de mayor renombre en áreas como la física, las matemáticas o la ingeniería: las ... |
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 ... |
Trabajo Fin de Máster
Ecuaciones de Navier-Stokes y atractores
(2021)
Este trabajo aborda uno de los problemas de mayor renombre en áreas como la física, las matemáticas o la ingeniería: las ... |
Artículo
Dynamics of Riemann waves with sharp measure-controlled damping
(Cornell University, 2019)
This paper is concerned with locally damped semilinear wave equations defined on compact Riemannian manifolds with boundary. ... |
Artículo
Robustness of dynamically gradient multivalued dynamical systems
(American Institute of Mathematical Sciences, 2019)
In this paper we study the robustness of dynamically gradient multivalued semiflows. As an application, we describe the ... |
Artículo
Stability results for 2D Navier-Stokes equations with unbounded delay
(Elsevier, 2018)
Some results related to 2D Navier-Stokes equations when the external force contains hereditary characteristics involving ... |
Artículo
Time-dependent attractors for non-autonomous nonlocal reaction-diffusion equations
(Cambridge University Press, 2018)
In this paper, the existence and uniqueness of weak and strong solutions for a non-autonomous nonlocal reaction-diffusion ... |
Artículo
Robustness of time-dependent attractors in H1-norm for nonlocal problems
(American Institute of Mathematical Sciences, 2018)
In this paper, the existence of regular pullback attractors as well as their upper semicontinuous behaviour in H1-norm are ... |
Artículo
Asymptotic behaviour of nonlocal p-Laplacian reaction-diffusion problems
(Elsevier, 2018)
In this paper, we focus on studying the existence of attractors in the phase spaces L2(Ω) and Lp(Ω) (among others) for ... |
Artículo
Pullback exponential attractors for parabolic equations with dynamical boundary conditions
(Mathematical Society of the Republic of China, 2017)
The existence of pullback exponential attractors for a nonautonomous semilinear parabolic equation with dynamical boundary ... |
Artículo
Global attractor for a nonlocal p-Laplacian equation without uniqueness of solution
(American Institute of Mathematical Sciences, 2017)
In this paper, the existence of solution for a p-Laplacian parabolic equation with nonlocal diffusion is established. To ... |
Artículo
Dynamics of wave equations with moving boundary
(Elsevier, 2017)
This paper is concerned with long-time dynamics of weakly damped semilinear wave equations defined on domains with moving ... |
Tesis Doctoral
Comportamiento asintótico en tiempo de ecuaciones en derivadas parciales no locales
(2016)
En las últimas décadas muchos investigadores han estado interesados en estudiar problemas no locales por su utilidad en ... |
Artículo
Asymptotic behaviour of a system of micropolar equations
(Bolyai Institute (University of Szeged), 2016)
This work is concerned with three-dimensional micropolar fluids flows in a bounded domain with boundary of class C∞. Based ... |
Artículo
Robustness of nonautonomous attractors for a family of nonlocal reaction–diffusion equations without uniqueness
(Springer, 2015)
In this paper, we consider a non-autonomous nonlocal reactiondiffusion equation with a small perturbation in the nonlocal ... |
Artículo
Semilinear fractional differential equations: global solutions, critical nonlinearities and comparison results
(Nicolaus Copernicus University in Torun, Juliusz Schauder Centre for Nonlinear Studies, 2015)
In this work we study several questions concerning to abstract fractional Cauchy problems of order α ∈ (0, 1). Concretely, ... |
Artículo
Long-time behavior of a non-autonomous parabolic equation with nonlocal diffusion and sublinear terms
(Pergamon Press, 2015)
This paper is devoted to study the asymptotic behavior of a time-dependent parabolic equation with nonlocal diffusion and ... |
Ponencia |
Artículo
Regularity of pullback attractors and attraction in H1 in arbitrarily large finite intervals for 2D Navier-Stokes equations with infinite delay
(American Institute of Mathematical Sciences, 2014)
In this paper we strengthen some results on the existence and properties of pullback attractors for a non-autonomous 2D ... |
Artículo
Pullback attractors for the non-autonomous 2D Navier-Stokes equations for minimally regular forcing
(American Institute of Mathematical Sciences, 2014)
This paper treats the existence of pullback attractors for the non-autonomous 2D Navier--Stokes equations in two different ... |
Artículo
Attractors for a Double Time-Delayed 2D-Navier-Stokes Model
(American Institute of Mathematical Sciences, 2014)
In this paper, a double time-delayed 2D-Navier-Stokes model is considered. It includes delays in the convective and the ... |
Artículo
Regularity Results and Exponential Growth for Pullback Attractors of a Non-Autonomous Reaction-Diffusion Model with Dynamical Boundary Conditions
(Elsevier, 2014)
In this paper, we prove some regularity results for pullback attractors of a non-autonomous reaction–diffusion model with ... |
Artículo
Reaction-Diffusion Equations with Non-Autonomous Force In H-1 and Delays Under Measurability Conditions on The Driving Delay Term
(Elsevier, 2014)
In this paper we analyze the existence of solutions for a reaction–diffusion problem with hereditary effects and a ... |
Artículo
Gradient-like nonlinear semigroups with infinitely many equilibria and applications to cascade systems
(Nicolaus Copernicus University in Torun, Juliusz Schauder Centre for Nonlinear Studies, 2013)
We consider an autonomous dynamical system coming from a coupled system in cascade where the uncoupled part of the system ... |
Artículo
Asymptotic Behaviour of Solutions for a Three Dimensional System of Globally Modified Navier-Stokes Equations with a Locally Lipschitz Delay Term
(Elsevier, 2013)
Existence, uniqueness, and continuity properties of solutions for a globally modified version of Navier–Stokes equations ... |
Artículo
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
(Elsevier, 2013)
We consider the three-dimensional Navier–Stokes equations on a periodic domain. We give a simple proof of the local existence ... |
Artículo
The Envelope Attractor of Non-Strict Multivalued Dynamical Systems with Application To The 3D Navier-Stokes and Reaction-Diffusion Equations
(Springer Verlag (Germany), 2013)
Multivalued semiflows generated by evolution equations without uniqueness sometimes satisfy a semigroup set inclusion ... |
Artículo |
Tesis Doctoral
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
(2013)
Una de las ramas de la Física más interesantes y complicadas de investigar es la Mecánica de Fluidos, que estudia el ... |
Artículo
Global Attractor and Omega-Limit Sets Structure for a Phase-Field Model of Thermal Alloys
(Elsevier, 2012)
In this paper, the existence of weak solutions is established for a phase-field model of thermal alloys supplemented with ... |
Artículo
Pullback attractors in V for non-autonomous 2D-Navier-Stokes equations and their tempered behaviour
(Elsevier, 2012)
In this paper the asymptotic behaviour of the solutions to a non-autonomous 2D-Navier–Stokes model is analyzed when the ... |
Artículo
Pullback Attractors for Three-Dimensional Non-Autonomous Navier-Stokes-Voigt Equations
(IOP Publishing, 2012)
In this paper, we consider a non-autonomous Navier–Stokes–Voigt model, with which a continuous process can be associated. ... |
Ponencia
Convergencia de las ecuaciones de Navier-Stokes Globalmente Modificadas con retardo a las ecuaciones de Navier-Stokes
(2011)
En esta comunicación demostramos que, bajo ciertas hipótesis, de una sucesión de soluciones del modelo Navier-Stokes ... |
Artículo
Negatively Invariant Sets and Entire Trajectories of Set-Valued Dynamical Systems
(Springer Verlag (Germany), 2011)
Strongly negatively invariant compact sets of set-valued autonomous and nonautonomous dynamical systems on a complete ... |
Artículo
Pullback Attractors for Non-Autonomous Reaction-Diffusion Equations with Dynamical Boundary Conditions
(Elsevier, 2011)
In this paper we prove the existence and uniqueness of a weak solution for a non-autonomous reaction–diffusion model with ... |
Artículo |
Artículo
Negatively Invariant Sets and Entire Solutions
(Springer Verlag (Germany), 2011)
Negatively invariant compact sets of autonomous and nonautonomous dynamical systems on a metric space, the latter formulated ... |
Artículo
Pullback Attractors for Globally Modified Navier-Stokes Equations with Infinite Delays
(American Institute of Mathematical Sciences (AIMS), 2011)
Existence and uniqueness of solution for a globally modified version of Navier-Stokes equations containing infinite delay ... |
Artículo
H^2-boundedness of the pullback attractors for non-autonomous 2D Navier-Stokes equations in bounded domains
(Elsevier, 2011)
We prove some regularity results for the pullback attractors of a non-autonomous 2D Navier–Stokes model in a bounded domain ... |
Artículo
On The Convergence of Solutions of Globally Modified Navier-Stokes Equations with Delays To Solutions of Navier-Stokes Equations with Delays
(, 2011)
We prove that under suitable assumptions, from a sequence of solutions of globally modified Navier-Stokes equations with ... |
Artículo
Acción tutorial en el EEES en la Facultad de Farmacia de la US: 4 años de experiencia de un programa de alumnos tutores
(2010)
La Facultad de Farmacia de la Universidad de Sevilla (US) tiene en marcha un Programa de Alumnos Tutores desde 2006/07 con ... |
Artículo
Pullback Attractors for 2D-Navier-Stokes Equations with Delays In Continuous and Sub-Linear Operators
(American Institute of Mathematical Sciences, 2010)
We obtain a result of existence of solutions to the 2D-Navier-Stokes model with delays, when the forcing term containing ... |
Artículo
Probabilistic Representation of Solutions for Quasi-Linear Parabolic Pde Via Fbsde with Reflecting Boundary Conditions
(, 2010)
A probabilistic representation of the solution (in the viscosity sense) of a quasi-linear parabolic PDE system with ... |
Artículo
Three Dimensional System of Globally Modified Navier-Stokes Equations with Infinite Delays
(American Institute of Mathematical Sciences, 2010)
Existence and uniqueness of solution for a globally modified version of Navier-Stokes equations containing infinite delay ... |
Artículo
Attractors for Parametric Delay Differential Equations and Their Continuous Behavior
(World Scientific, 2010)
The problem of the continuity of global attractors under minimal assumptions for a general class of parameterized delay ... |
Ponencia
Estudio de una ecuación del calor semilineal en dominios no-cilíndricos
(2009)
En esta comunicación presentaremos resultados de existencia y unicidad de soluciones que verifican una igualdad de energía ... |
Artículo
On The Relation Between Two Different Concepts of Pullback Attractors for Non-Autonomous Dynamical Systems
(Elsevier, 2009)
For an abstract dynamical system, we establish, under minimal assumptions, the existence of D-attractor, i.e. a pullback ... |
Artículo |
Artículo
Equivalence of Invariant Measures and Stationary Statistical Solutions for The Autonomous Globally Modified Navier-Stokes Equations
(American Institute of Mathematical Sciences (AIMS), 2009)
A new proof of existence of solutions for the three dimensional system of globally modified Navier-Stokes equations ... |
Artículo
Pullback Attractors for a Semilinear Heat Equation In a Non-Cylindrical Domain
(Elsevier, 2008)
The existence and uniqueness of a variational solution satisfying energy equality is proved for a semilinear heat equation ... |
Artículo
Equi-Attraction and The Continuous Dependence of Attractors on Time Delays
(American Institute of Mathematical Sciences, 2008)
Under appropriate regularity conditions it is shown that the continuous dependence of the global attractors \mathcal{A}_\tau ... |
Artículo
Attractors for Parametric Delay Differential Equations Without Uniqueness and Their Upper Semicontinuous Behaviour
(Elsevier, 2008)
We prove existence of a global attractor A(λ) under minimal assumptions for a general class of parameterized delay ... |
Ponencia
Equi-atracción y dependencia continua de atractores para ecuaciones con retardo
(2007)
En esta comunicación se presentan brevemente los resultados del trabajo [P. E. Kloeden & P. Marín-Rubio. Equi-Attraction ... |
Artículo
Attractors for 2D-Navier-Stokes Equations with Delays on Some Unbounded Domains
(Elsevier, 2007)
We prove the existence of tempered and nontempered pullback attractors for two dimensional Navier–Stokes equations on ... |
Artículo
Numerical and finite delay approximations of attractors for logistic differential-integral equations with infinite delay
(2007)
The upper semi-continuous convergence of approximate attractors for an infinite delay differential equation of logistic ... |
Artículo
Existence and Asymptotic Behaviour for Stochastic Heat Equations with Multiplicative Noise in Materials With Memory
(2007)
The existence and uniqueness of solutions for a stochastic reaction-diffusion equation with infinite delay is proved. ... |
Artículo
Attractors for differential equations with unbounded delays
(Elsevier, 2007)
We prove the existence of attractors for some types of differential problems containing infinite delays. Applications and ... |
Artículo
Global and Pullback Attractors of Set-Valued Skew Product Flows
(2006)
We investigate the asymptotic behaviour of a general set-valued skew product flow (SVSPF), that is, a set-valued cocycle ... |
Artículo
Navier-Stokes equations with delays on unbounded domains
(Elsevier, 2006)
Some results on the existence and uniqueness of solutions to Navier–Stokes equations when the domain is unbounded and the ... |
Artículo
Autonomous and non-autonomous attractors for differential equations with delays
(2005)
The asymptotic behaviour of some types of retarded differential equations, with both variable and distributed delays, is ... |
Artículo
Some Results on Stochastic Differential Equations with Reflecting Boundary Conditions
(Springer Verlag (Germany), 2004)
Some results related to stochastic differential equations with reflecting boundary conditions (SDER) are obtained. Existence ... |
Tesis Doctoral
Existencia, unicidad y comportamiento asintótico en algunos sistemas dinámicos deterministas y estocásticos
(2003)
La memoria está compuesta de dos partes: la primera se enmarca dentro del Análisis Estocástico y la segunda parte en la ... |
Artículo
Attractors for The Stochastic 3D Navier-Stokes Equations
(World Scientific Publishing, 2003)
In a 1997 paper, Ball defined a generalised semiflow as a means to consider the solutions of equations without (or not ... |
Artículo
A Comparison Between Two Theories for Multi-Valued Semiflows and Their Asymptotic Behaviour
(2003)
This paper presents a comparison between two abstract frameworks in which one can treat multi-valued semiflows and their ... |
Artículo
Weak pullback attractors of setvalued processes
(2003)
Weak pullback attractors are de ned for nonautonomous setvalued processes and their existence and upper semi continuous ... |
Artículo
Weak Pullback Attractors of Non-Autonomous Difference Inclusions
(Taylor & Francis, 2003)
Weak pullback attractors are defined for non-autonomous difference inclusions and their existence and upper semi continuous ... |