instituto de matemáticas universidad de sevilla
Antonio de Castro Brzezicki
Pedro Marín Rubio
 Situación profesional: Catedrático Despacho: Facultad de Matemáticas Departamento: Ecuaciones Diferenciales y Análisis Numérico

#### Proyectos de la JJAA

 P12-FQM-1492 Análisis y Aplicaciones de Sistemas Dinámicos no Autónomos y Estocásticos Miembro del Proyecto P07-FQM-02468 Sistemas Dinámicos Estocásticos y no Autónomos, y Aplicaciones Miembro del Proyecto

#### Proyectos del Plan Nacional I+D+i

 MTM2015-63723-P Sistemas dinámicos no autónomos y estocásticos de las ciencias aplicadas Miembro del Proyecto MTM2011-22411 Estudio de los Sistemas Dinámicos no Autónomos y Estocásticos, y Aplicaciones Miembro del Proyecto MTM2008-00088 Estudio de los sistemas dinámicos no autónomos y estocásticos, y aplicaciones Miembro del Proyecto MTM2005-01412 Estudio de los sistemas dinámicos no autónomos y estocásticos y aplicaciones Miembro del Proyecto

#### Grupo PAIDI - Plan Andaluz de Investigación, Desarrollo e Innovación

 FQM314 Análisis Estocástico de Sistemas Diferenciales Miembro del Proyecto

• Caraballo, Tomás; Herrera-Cobos, Marta; Marín-Rubio, Pedro. Global attractor for a nonlocal p-Laplacian equation without uniqueness of solution. Discrete and Continuous Dynamical Systems. Series B (2017)
• Czaja, R., Marín-Rubio, P.. Pullback exponential attractors for parabolic equations with dynamical boundary conditions. Taiwanese Journal of Mathematics (2017)
• Caraballo, T., Herrera-Cobos, M., Marín-Rubio, P.. Asymptotic behaviour of nonlocal p-Laplacian reaction-diffusion problems. Journal of Mathematical Analysis and Applications (2017)
• Ma, To Fu; Marín-Rubio, Pedro; Surco Chuño, Christian Manuel. Dynamics of wave equations with moving boundary. Journal of Differential Equations (2017)
• Caraballo, T.; Herrera-Cobos, M.; Marín-Rubio, P. Robustness of nonautonomous attractors for a family of nonlocal reaction–diffusion equations without uniqueness. Nonlinear Dynamics (2016)
• Marín-Rubio, P., Poblete-Cantellano, M., Rojas-Medar, M., Torres-Cerda, F.. Asymptotic behaviour of a system of micropolar equations. Electronic Journal of Qualitative Theory of Differential Equations (2016)
• García-Luengo, Julia; Marín-Rubio, Pedro; Real, José. Some new regularity results of pullback attractors for 2D Navier-Stokes equations with delays. Communications on Pure and Applied Analysis (2015)
• Caraballo, Tomás; Herrera-Cobos, Marta; Marín-Rubio, Pedro. Long-time behavior of a non-autonomous parabolic equation with nonlocal diffusion and sublinear terms. Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal. Series A: Theory and Methods (2015)
• de Andrade, Bruno; Carvalho, Alexandre N.; Carvalho-Neto, Paulo M.; Marín-Rubio, Pedro. Semilinear fractional differential equations: global solutions, critical nonlinearities and comparison results. Topological Methods in Nonlinear Analysis (2015)
• García-Luengo, Julia; Marín-Rubio, Pedro; Planas, Gabriela. Attractors for a double time-delayed 2D-Navier-Stokes model. Discrete and Continuous Dynamical Systems (2014)
• Anguiano, María; Marín-Rubio, Pedro; Real, José. Regularity results and exponential growth for pullback attractors of a non-autonomous reaction-diffusion model with dynamical boundary conditions. Nonlinear Analysis. Real World Applications (2014)
• García Luengo, Julia; Marín Rubio, Pedro; Real Anguas, José; Robinson, James C. Pullback attractors for the non-autonomous 2D Navier-Stokes equations for minimally regular forcing. Discrete and Continuous Dynamical Systems (2014)
• García-Luengo, Julia; Marín-Rubio, Pedro; Real, José. Regularity of pullback attractors and attraction in $H^1$ in arbitrarily large finite intervals for 2D Navier-Stokes equations with infinite delay. Discrete and Continuous Dynamical Systems (2014)
• García-Luengo, J.; Marín-Rubio, P. Reaction-diffusion equations with non-autonomous force in $H^{-1}$ and delays under measurability conditions on the driving delay term. Journal of Mathematical Analysis and Applications (2014)
• Marín Rubio, Pedro; Robinson, James C.; Sadowski, Witold. 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 $H^1$. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2013)
• Marín Rubio, Pedro; Márquez-Durán, Antonio M.; Real Anguas, José. Asymptotic behavior of solutions for a three dimensional system of globally modified Navier-Stokes equations with a locally Lipschitz delay term. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS (2013)
• García Luengo, Julia; Marín Rubio, Pedro; Real Anguas, José. Pullback attractors for 2D Navier-Stokes equations with delays and their regularity. ADVANCED NONLINEAR STUDIES (2013)
• Aragao-Costa, E.R., Carvalho, A.N., Marín-Rubio, P., Planas, G.. Gradient-like nonlinear semigroups with infinitely many equilibria and applications to cascade systems. Topological Methods in Nonlinear Analysis (2013)
• Kloeden, Peter E.; Marín Rubio, Pedro; Valero, José. The envelope attractor of non-strict multivalued dynamical systems with application to the 3D Navier-Stokes and reaction-diffusion equations. Set-Valued and Variational Analysis (2013)
• Marín-Rubio, Pedro; Planas, Gabriela. Global attractor and omega-limit sets structure for a phase-field model of thermal alloys. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS (2012)
• J. García-Luengo, P. Marín-Rubio , J. Real. Pullback attractors for three-dimensional non-autonomous Navier-Stokes-Voigt equations. NONLINEARITY (2012)
• J. García-Luengo; P. Marín-Rubio; J. Real. Pullback attractors in V for non-autonomous 2D-Navier-Stokes equations and their tempered behaviour. JOURNAL OF DIFFERENTIAL EQUATIONS (2012)
• Maria Anguiano Moreno, Pedro Marín Rubio, José Real Anguas. Pullback Attractors for Non-Autonomous Reaction-Diffusion Equations With Dynamical Boundary Conditions. Journal of Mathematical Analysis and Applications (2011)
• Pedro Marín Rubio, Antonio Miguel Márquez Durán, José Real Anguas. Pullback Attractors for Globally modified Navier-Stokes Equations With Infinite Delays. Discrete and Continuous Dynamical Systems (2011)
• Pedro Marín-Rubio, Antonio M. Márquez-Durán, José Real. On the convergence of solutions of Globally Modified Navier-Stokes equations with delays to solutions of Navier-Stokes equations with delays.. Advanced Nonlinear Studies (2011)
• Pedro Marín Rubio, José Real Anguas, José Valero Cuadra. Pullback Attractors for a 2d-Navier-Stokes model in an Infinite Delay Case. Nonlinear Analysis-Theory Methods & Applications (2011)
• P. E. Kloeden; P. Marín-Rubio. Negatively invariant sets and entire trajectories of set-valued dynamical systems. Set-Valued and Variational Analysis (2011)
• Julia María Garcia Luengo, Pedro Marín Rubio, José Real Anguas. $H^2$-Boundedness of the Pullback Attractors For non-Autonomous 2d Navier-Stokes Equations in Bounded Domains. Nonlinear Analysis-Theory Methods & Applications (2011)
• P. E. Kloeden; P. Marín-Rubio. Negatively invariant sets and entire solutions. Journal of Dynamics and Differential Equations (2011)
• Pedro Marín Rubio, José Real Anguas. Probabilistic Representation of Solutions for Quasi-Linear Parabolic Pde Via Fbsde With Reflecting Boundary Conditions. SeMA Journal (2010)
• Pedro Marín Rubio, José Real Anguas. Pullback Attractors for 2d-Navier-Stokes Equations With Delays in Continuous and Sub-Linear Operators. Discrete and Continuous Dynamical Systems (2010)
• Pedro Marín Rubio, Antonio Miguel Márquez Durán, José Real Anguas. Three Dimensional System of Globally Modified Navier-Stokes Equations With Infinite Delays. Discrete and Continuous Dynamical Systems-Series B (2010)
• P. Marín-Rubio. Attractors for parametric delay differential equations and their continuous behavior. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2010)
• Pedro Marín Rubio, Gabriela Planas, José Real Anguas. Asymptotic Behaviour of a Phase-Field Model With Three Coupled Equations Without Uniqueness. Journal of Differential Equations (2009)
• Pedro Marín Rubio, José Real Anguas. On the Relation Between Two Different Concepts of Pullback Attractors for Non-Autonomous Dynamical Systems. Nonlinear Analysis-Theory Methods & Applications (2009)
• Peter Eris Kloeden, Pedro Marín Rubio, José Real Anguas. Equivalence of Invariant Measures and Stationary Statistical Solutions for the Autonomous Globally Modified Navier-Stokes Equations. Communications on Pure and Applied Analysis (2009)
• Peter Eris Kloeden, Pedro Marín Rubio, José Real Anguas. Pullback Attractors for a Semilinear Heat Equation in a Non-Cylindrical Domain. Journal of Differential Equations (2008)
• Kloeden, P. E.; Marín-Rubio, P.. Equi-attraction and the continuous dependence of attractors on time delays. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B (2008)
• P. Marín-Rubio. Attractors for parametric delay differential equations without uniqueness and their upper semicontinuous behaviour. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS (2008)
• Pedro Marín Rubio, José Real Anguas. Attractors for 2d-Navier-Stokes Equations With Delays on Some Unbounded Domains. Nonlinear Analysis-Theory Methods & Applications (2007)
• Tomás Caraballo Garrido, Igor Chueshov, Pedro Marín Rubio, José Real Anguas. Existence and Asymptotic Behaviour for Stochastic Heat Equations With Multiplicative Noise in Materials With Memory. Discrete and Continuous Dynamical Systems (2007)
• Tomás Caraballo Garrido, Peter Eris Kloeden, Pedro Marín Rubio. Numerical and Finite Delay Approximations of Attractors for Logistic Differential-Integral Equations With Infinite Delay. Discrete and Continuous Dynamical Systems (2007)
• Tomás Caraballo Garrido, Pedro Marín Rubio, José Valero Cuadra. Attractors for Differential Equations With Unbounded Delays. Journal of Differential Equations (2007)

#### Libros y capítulos (5)

• Tomás Caraballo, Marta Herrera Cobos y Pedro Marín-Rubio. On a heat equation with non-local diffusion. (2014)
• Tomás Caraballo, Marta Herrera Cobos y Pedro Marín-Rubio. Long-time behaviour of nonlocal Partial Differential Equations. (2014)
• Tomás Caraballo, Marta Herrera Cobos y Pedro Marín-Rubio. On a parabolic equation with nonlocal diffusion and sublinear terms. (2014)
• P. Marín-Rubio,M.J.Garrido-Atienza, A. Suárez-Fernández, B. Climent-Ezquerra, M. Delgado-Delgado,M.A. Rodríguez Bellido, M. Luna-Laynez, M. Gómez-Mármol, I.Gayte-Delgado, C. Morales-Rodrígo.,. Asignaturas en la red 2009-2010: Matemática Aplicada y Estadística.. Secretariado de Recursos Audiovisuales y Nuevas Tecnologías de la Universidad de Sevilla (2010)
• M. Delgado-Delgado, D. Franco-Coronil, M.J.Garrido-Atienza, I.Gayte-Delgado, M. Luna-Laynez, P. Marín-Rubio, M.A. Rodríguez Bellido.. Asignaturas en la red 2007-2008: Matemática Aplicada. Secretariado de Recursos Audiovisuales y Nuevas Tecnologías de la Universidad de Sevilla. (2008)

#### Aportaciones a congresos (5)

• Tomás Caraballo, Marta Herrera Cobos y Pedro Marín-Rubio. Long-time behaviour of nonlocal Partial Differential Equations. 8th European Conference On Elliptic And Parabolic Problems (2014)
• Tomás Caraballo, Marta Herrera Cobos y Pedro Marín-Rubio. On a parabolic equation with nonlocal diffusion and sublinear terms. 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (2014)
• Tomás Caraballo, Marta Herrera Cobos y Pedro Marín-Rubio. On a heat equation with non-local diffusion. 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (2014)
• García-Luengo, Julia; Marín-Rubio, Pedro; Real, José. Regularity results of pullback attractors for a two-dimensional Navier-Stokes model with finite delay. Summer Meeting 2013 (2013)
• García-Luengo, Julia; Marín-Rubio, Pedro; Real, José. Regularity results of pullback attractors for a two-dimensional Navier-Stokes model with finite delay. Summer Meeting 2013 (2013)

LEYENDA

Arxiv
Doi
MathSciNet
Scopus
Citas
,,, Cuartiles
 Dynamics of wave equations with moving boundary Ma, To Fu, Marín-Rubio, Pedro, Surco Chuño, Christian Manuel, Journal of Differential Equations 2017 - 0 Enlaces Global attractor for a nonlocal p-Laplacian equation without uniqueness of solution Caraballo, Tomás, Herrera-Cobos, Marta, Marín-Rubio, Pedro, Discrete and Continuous Dynamical Systems. Series B 2017 - 0 Enlaces Pullback exponential attractors for parabolic equations with dynamical boundary conditions Czaja, R., Marín-Rubio, P., Taiwanese Journal of Mathematics 2017 - 0 Enlaces Asymptotic behaviour of nonlocal p-Laplacian reaction-diffusion problems Caraballo, T., Herrera-Cobos, M., Marín-Rubio, P., Journal of Mathematical Analysis and Applications 2017 - 0 Enlaces Robustness of nonautonomous attractors for a family of nonlocal reaction–diffusion equations without uniqueness Caraballo, T., Herrera-Cobos, M., Marín-Rubio, P., Nonlinear Dynamics 2016 - 0 Enlaces Asymptotic behaviour of a system of micropolar equations Marín-Rubio, P., Poblete-Cantellano, M., Rojas-Medar, M.,, Torres-Cerda, F., Electronic Journal of Qualitative Theory of Differential Equations 2016 - 1 Enlaces Some new regularity results of pullback attractors for 2D Navier-Stokes equations with delays García-Luengo, Julia, Marín-Rubio, Pedro, Real, José, Communications on Pure and Applied Analysis 2015 - 0 Enlaces Long-time behavior of a non-autonomous parabolic equation with nonlocal diffusion and sublinear terms Caraballo, Tomás, Herrera-Cobos, Marta, Marín-Rubio, Pedro, Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal. Series A: Theory and Methods 2015 - 1 Enlaces Semilinear fractional differential equations: global solutions, critical nonlinearities and comparison results de Andrade, Bruno, Carvalho, Alexandre N., Carvalho-Neto, Paulo M., Marín-Rubio, Pedro, Topological Methods in Nonlinear Analysis 2015 - 0 Enlaces Reaction-diffusion equations with non-autonomous force in $H^{-1}$ and delays under measurability conditions on the driving delay term García-Luengo, J., Marín-Rubio, P., Journal of Mathematical Analysis and Applications 2014 - 2 Enlaces Attractors for a double time-delayed 2D-Navier-Stokes model García-Luengo, Julia, Marín-Rubio, Pedro, Planas, Gabriela, Discrete and Continuous Dynamical Systems 2014 - 3 Enlaces Regularity results and exponential growth for pullback attractors of a non-autonomous reaction-diffusion model with dynamical boundary conditions Anguiano, María, Marín-Rubio, Pedro, Real, José, Nonlinear Analysis. Real World Applications 2014 - 1 Enlaces Regularity of pullback attractors and attraction in $H^1$ in arbitrarily large finite intervals for 2D Navier-Stokes equations with infinite delay García-Luengo, Julia, Marín-Rubio, Pedro, Real, José, Discrete and Continuous Dynamical Systems 2014 - 1 Enlaces Pullback attractors for the non-autonomous 2D Navier-Stokes equations for minimally regular forcing García Luengo, Julia, Marín Rubio, Pedro, Real Anguas, José, Robinson, James C., Discrete and Continuous Dynamical Systems 2014 - 3 Enlaces Pullback attractors for 2D Navier-Stokes equations with delays and their regularity García Luengo, Julia, Marín Rubio, Pedro, Real Anguas, José, ADVANCED NONLINEAR STUDIES 2013 - 6 Enlaces 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, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 2013 - 1 Enlaces Asymptotic behavior 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 M., Real Anguas, José, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 2013 - 0 Enlaces 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, José, Set-Valued and Variational Analysis 2013 - 0 Enlaces Gradient-like nonlinear semigroups with infinitely many equilibria and applications to cascade systems Aragao-Costa, E.R., Carvalho, A.N, Marín-Rubio, P., Planas, G., Topological Methods in Nonlinear Analysis 2013 - 2 Enlaces Pullback attractors in V for non-autonomous 2D-Navier-Stokes equations and their tempered behaviour , J. Real, JOURNAL OF DIFFERENTIAL EQUATIONS 2012 - 15 Enlaces Global attractor and omega-limit sets structure for a phase-field model of thermal alloys Marín-Rubio, Pedro, Planas, Gabriela, NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 2012 - 1 Enlaces Pullback attractors for three-dimensional non-autonomous Navier-Stokes-Voigt equations J. García-Luengo, P. Marín-Rubio , J. Real, NONLINEARITY 2012 - 3 Enlaces Pullback Attractors for a 2d-Navier-Stokes model in an Infinite Delay Case Pedro Marín Rubio, José Real Anguas, José Valero Cuadra, Nonlinear Analysis-Theory Methods & Applications 2011 - 7 Enlaces $H^2$-Boundedness of the Pullback Attractors For non-Autonomous 2d Navier-Stokes Equations in Bounded Domains Julia María Garcia Luengo, Pedro Marín Rubio, José Real Anguas, Nonlinear Analysis-Theory Methods & Applications 2011 - 7 Enlaces Pullback Attractors for Non-Autonomous Reaction-Diffusion Equations With Dynamical Boundary Conditions Maria Anguiano Moreno, Pedro Marín Rubio, José Real Anguas, Journal of Mathematical Analysis and Applications 2011 - 5 Enlaces Pullback Attractors for Globally modified Navier-Stokes Equations With Infinite Delays Pedro Marín Rubio, Antonio Miguel Márquez Durán, José Real Anguas, Discrete and Continuous Dynamical Systems 2011 - 5 Enlaces On the convergence of solutions of Globally Modified Navier-Stokes equations with delays to solutions of Navier-Stokes equations with delays. Pedro Marín-Rubio, Antonio M. Márquez-Durán, José Real, Advanced Nonlinear Studies 2011 - 4 Enlaces Negatively invariant sets and entire trajectories of set-valued dynamical systems P. E. Kloeden, P. Marín-Rubio, Set-Valued and Variational Analysis 2011 - 2 Enlaces Negatively invariant sets and entire solutions P. E. Kloeden, P. Marín-Rubio, Journal of Dynamics and Differential Equations 2011 - 0 Enlaces Pullback Attractors for 2d-Navier-Stokes Equations With Delays in Continuous and Sub-Linear Operators Pedro Marín Rubio, José Real Anguas, Discrete and Continuous Dynamical Systems 2010 - 18 Enlaces Three Dimensional System of Globally Modified Navier-Stokes Equations With Infinite Delays Pedro Marín Rubio, Antonio Miguel Márquez Durán, José Real Anguas, Discrete and Continuous Dynamical Systems-Series B 2010 - 5 Enlaces Attractors for parametric delay differential equations and their continuous behavior P. Marín-Rubio, INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 2010 - 0 Enlaces Probabilistic Representation of Solutions for Quasi-Linear Parabolic Pde Via Fbsde With Reflecting Boundary Conditions Pedro Marín Rubio, José Real Anguas, SeMA Journal 2010 - 0 Enlaces Equivalence of Invariant Measures and Stationary Statistical Solutions for the Autonomous Globally Modified Navier-Stokes Equations Peter Eris Kloeden, Pedro Marín Rubio, José Real Anguas, Communications on Pure and Applied Analysis 2009 - 10 Enlaces Asymptotic Behaviour of a Phase-Field Model With Three Coupled Equations Without Uniqueness Pedro Marín Rubio, Gabriela Planas, José Real Anguas, Journal of Differential Equations 2009 - 3 Enlaces On the Relation Between Two Different Concepts of Pullback Attractors for Non-Autonomous Dynamical Systems Pedro Marín Rubio, José Real Anguas, Nonlinear Analysis-Theory Methods & Applications 2009 - 33 Enlaces Pullback Attractors for a Semilinear Heat Equation in a Non-Cylindrical Domain Peter Eris Kloeden, Pedro Marín Rubio, José Real Anguas, Journal of Differential Equations 2008 - 8 Enlaces Equi-attraction and the continuous dependence of attractors on time delays Kloeden, P. E., Marín-Rubio, P., DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 2008 - 3 Enlaces Attractors for parametric delay differential equations without uniqueness and their upper semicontinuous behaviour P. Marín-Rubio, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 2008 - 2 Enlaces Existence and Asymptotic Behaviour for Stochastic Heat Equations With Multiplicative Noise in Materials With Memory Tomás Caraballo Garrido, Igor Chueshov, Pedro Marín Rubio, José Real Anguas, Discrete and Continuous Dynamical Systems 2007 - 0 Enlaces Numerical and Finite Delay Approximations of Attractors for Logistic Differential-Integral Equations With Infinite Delay Tomás Caraballo Garrido, Peter Eris Kloeden, Pedro Marín Rubio, Discrete and Continuous Dynamical Systems 2007 - 0 Enlaces Attractors for Differential Equations With Unbounded Delays Tomás Caraballo Garrido, Pedro Marín Rubio, José Valero Cuadra, Journal of Differential Equations 2007 - 0 Enlaces Attractors for 2d-Navier-Stokes Equations With Delays on Some Unbounded Domains Pedro Marín Rubio, José Real Anguas, Nonlinear Analysis-Theory Methods & Applications 2007 - 18 Enlaces