instituto de matemáticas universidad de sevilla
Antonio de Castro Brzezicki
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Situación profesional: Profesor Titular
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


Listado de Artículos (41)

  • Ma, To Fu; Marín-Rubio, Pedro; Surco Chuño, Christian Manuel. Dynamics of wave equations with moving boundary. Journal of Differential Equations (2017)
  • 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)
  • 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)
  • 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)
  • 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)
  • 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, 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)
  • 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, 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)
  • 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)
  • 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)
  • 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)
  • 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)
  • 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)
  • 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 in V for non-autonomous 2D-Navier-Stokes equations and their tempered behaviour. JOURNAL OF DIFFERENTIAL EQUATIONS (2012)
  • J. García-Luengo, P. Marín-Rubio , J. Real. Pullback attractors for three-dimensional non-autonomous Navier-Stokes-Voigt equations. NONLINEARITY (2012)
  • 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, Antonio Miguel Márquez Durán, José Real Anguas. Pullback Attractors for Globally modified Navier-Stokes Equations With Infinite Delays. Discrete and Continuous Dynamical Systems (2011)
  • 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 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. 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)
  • 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)
  • 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. 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)
  • 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)
  • Pedro Marín Rubio, José Real Anguas. Attractors for 2d-Navier-Stokes Equations With Delays on Some Unbounded Domains. Nonlinear Analysis-Theory Methods & Applications (2007)

Libros y capítulos (5)

  • 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 heat equation with non-local diffusion. (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 heat equation with non-local diffusion. 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (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)
  • 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)

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Listado de Artículos (41)
Dynamics of wave equations with moving boundary Ma, To Fu, Marín-Rubio, Pedro, Surco Chuño, Christian Manuel, Journal of Differential Equations 2017 - 0
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
Pullback attractors in V for non-autonomous 2D-Navier-Stokes equations and their tempered behaviour , J. Real, JOURNAL OF DIFFERENTIAL EQUATIONS 2012 - 15
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
Pullback attractors for three-dimensional non-autonomous Navier-Stokes-Voigt equations J. García-Luengo, P. Marín-Rubio , J. Real, NONLINEARITY 2012 - 3
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
$H^2$-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
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
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
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
Negatively invariant sets and entire trajectories of set-valued dynamical systems P. E. Kloeden, P. Marín-Rubio, Set-Valued and Variational Analysis 2011 - 2
Negatively invariant sets and entire solutions P. E. Kloeden, P. Marín-Rubio, Journal of Dynamics and Differential Equations 2011 - 0
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
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
Attractors for parametric delay differential equations and their continuous behavior P. Marín-Rubio, INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 2010 - 0
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
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
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
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
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
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
Attractors for parametric delay differential equations without uniqueness and their upper semicontinuous behaviour P. Marín-Rubio, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 2008 - 2
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
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
Attractors for Differential Equations With Unbounded Delays Tomás Caraballo Garrido, Pedro Marín Rubio, José Valero Cuadra, Journal of Differential Equations 2007 - 0
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


Actividades propias

27.10.2014

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Tesis dirigidas en el Programa de Doctorado en Matemáticas (3)

Paulo Mendes de Carvalho Neto Fractional differential Equations: Novel Study of Local and Global Solutions in Banach Spaces
Julia García Luengo Estudio del Comportamiento Asintótico de las Ecuaciones de Navier-Stokes no Autónomas y algunas de sus variantes
Marta Herrera Cobos Comportamiento asintótico en tiempo de ecuaciones en derivadas parciales no locales