instituto de matemáticas universidad de sevilla
Antonio de Castro Brzezicki
imus-logo
Francisco Guillén González
Miembro ordinario
guillen@us.es
http://personal.us.es/guillen/
Situación profesional: Catedrático
Despacho: Facultad de Matemáticas
Departamento: Ecuaciones Diferenciales y Análisis Numérico
Teléfono: 954559907

Fields of Interest

35-XX
PARTIAL DIFFERENTIAL EQUATIONS
35Qxx
Equations of mathematical physics and other areas of application
35Q35
PDEs in connection with fuid mechanics
65-XX
NUMERICAL ANALYSIS
65Mxx
Partial differential equations, initial value and time-dependent initial-boundary value problems Página

Proyectos de la JJAA

P06-FQM-02373 Análisis de modelos de cristales líquidos Responsable

Proyectos del Plan Nacional I+D+i

MTM2015-69875-P Problemas de Difusión, Reacción y Campo de Fases Aplicados a Modelos de Organismos Vivos Responsable
MTM2012-32325 Campos de Fases y Aplicaciones; Multifluidos,Solidificación y Tumores Responsable
MTM2009-12927 Análisis teórico-numérico de cristales líquidos y campo de fases Responsable
MTM2006-07932 Análisis y control de EDPs no lineales con origen en física y otras ciencias Miembro del Proyecto

Grupo PAIDI - Plan Andaluz de Investigación, Desarrollo e Innovación

FQM131 Ecuaciones Diferenciales, Simulación Numérica y Desarrollo de Software Miembro del Proyecto


Listado de Artículos (55)

  • Guillén-González, F., Tierra, G.. Unconditionally energy stable numerical schemes for phase-field vesicle membrane model. Journal of Computational Physics (2018)
  • Guillén-González, F.; Redondo-Neble, M. V.. Convergence and error estimates of viscosity-splitting finite-element schemes for the primitive equations. Applied Numerical Mathematics (2017)
  • Cabrales, R.C., Guillén-González, F., Gutiérrez-Santacreu, J.V.. A projection-based time-splitting algorithm for approximating nematic liquid crystal flows with stretching. ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik. Journal of Applied Mathematics and Mechanics (2017)
  • Guillén-González, F., Redondo-Neble, M.V.. Optimal first-order error estimates of a fully segregated scheme for the Navier–Stokes equations. Journal of Computational and Applied Mathematics (2017)
  • Guillén-González, F.; Rodríguez Galván, J. R.. On the stability of approximations for the Stokes problem using different finite element spaces for each component of the velocity. Applied Numerical Mathematics (2016)
  • Grün, Günther; Guillén-González, Francisco; Metzger, Stefan. On fully decoupled, convergent schemes for diffuse interface models for two-phase flow with general mass densities. Communications in Computational Physics (2016)
  • Francisco Guillén-González, María Ángeles Rodríguez-Bellido, Giordano Tierra. Linear unconditional energy-stable splitting schemes for a phase-field model for nematic-isotropic flows with anchoring effects. International Journal for Numerical Methods in Engineering (2016)
  • Tierra, G., Guillén-González, F.. Numerical methods for solving the Cahn-Hilliard equation and its applicability to related energy-based models. Archives of Computational Methods in Engineering (2015)
  • Cabrales, R.C., Guillén-González, F., Gutiérrez-Santacreu, J.V.. A time-splitting finite-element stable approximation for the ericksen-leslie equations. Siam Journal on Scientific Computing (2015)
  • Guillén-González, Francisco; Rodríguez-Bellido, María Ángeles. Weak solutions for an initial-boundary Q-tensor problem related to liquid crystals. Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal. Series A: Theory and Methods (2015)
  • F.Guillén-González, M.A.Rodríguez-Bellido. A uniqueness and regularity criterion for Q-tensor models with Neumann boundary conditions. Differential and Integral Equations (2015)
  • Guillén González, F.; Rodríguez Galván, J. R. Stabilized schemes for the hydrostatic Stokes equations. Siam Journal on Numerical Analysis (2015)
  • Guillén González, F.; Rodríguez Galván, J.R.. Analysis of the hydrostatic Stokes problem and finite-element approximation in unstructured meshes. NUMERISCHE MATHEMATIK (2015)
  • Guillén-González, F., Koko, J.. A Splitting in Time Scheme and Augmented Lagrangian Method for a Nematic Liquid Crystal Problem. Journal of Scientific Computing (2015)
  • Guillén-González, F.; Tierra, G. Approximation of Smectic-A liquid crystals. Computer Methods in Applied Mechanics and Engineering (2015)
  • Guillén-González, F.; Planas, G.. Corrigendum to our paper "On the asymptotic behaviour of the 2D Navier-Stokes equations with Navier friction conditions towards Euler equations." [ZAMM 89(10), 810-822, 2009]. ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik (2015)
  • Climent-Ezquerra, Blanca; Guillén-González, Francisco. Convergence to equilibrium for smectic-A liquid crystals in 3D domains without constraints for the viscosity. Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal. Series A: Theory and Methods (2014)
  • Climent Ezquerra, Blanca; Guillén González, Francisco. A review of mathematical analysis of nematic and smectic-A liquid crystal models. EUROPEAN JOURNAL OF APPLIED MATHEMATICS (2014)
  • Guillén-González, Francisco; Tierra, Giordano. Splitting schemes for a Navier-Stokes-Cahn-Hilliard model for two fluids with different densities. Journal of Computational Mathematics (2014)
  • Guillén-González, Francisco; Tierra, Giordano. Second order schemes and time-step adaptivity for Allen-Cahn and Cahn-Hilliard models. Computers & Mathematics with Applications (2014)
  • Guillén-González, Francisco; Rodríguez-Bellido, María Ángeles. Weak time regularity and uniqueness for a Q-tensor model. SIAM JOURNAL ON MATHEMATICAL ANALYSIS (2014)
  • Guillén González, F.; Gutiérrez-Santa Creu, J.V.. A linear mixed finite element scheme for a nematic Ericksen-Leslie liquid crystal model. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE (2013)
  • Guillén-González, F.; Tierra, G. On linear schemes for a Cahn-Hilliard diffuse interface model. JOURNAL OF COMPUTATIONAL PHYSICS (2013)
  • Guillén González, Francisco.; Redondo-Neble, María Victoria.. Spatial error estimates for a finite element viscosity-splitting scheme for the Navier-Stokes equations. International Journal of Numerical Analysis & Modeling (2013)
  • F. Guillén-González, F. Marques-Lopes, M. Rojas-Medar. On the approximate controllability of Stackelberg-Nash strategies for Stokes equations. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY (2013)
  • Francisco Guillén-González, Giordano Tierra. Superconvergence in velocity and pressure for the 3D time-dependent Navier-Stokes equations. SeMA Journal (2012)
  • Francisco Guillén-González, Mouhamadou Samsidy Goudiaby. Stability and convergence at infinite time of several fully discrete schemes for a Ginzburg-Landau model for nematic liquid crystal flows. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2012)
  • B. Climent-Ezquerra, F.~Guillén-González. On a double penalized smectic-A model. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2012)
  • Francisco Guillén González, Juan Vicente Gutierrez Santacreu. Error Estimates of a Linear Decoupled Euler-Fem Scheme for a Mass Diffusion Model. Numerische Mathematik (2011)
  • Francisco Guillén González, María Victoria Redondo Neble. New Error Estimates for a Viscosity-Splitting Scheme in Time for the Three-Dimensional Navier-Stokes Equations. IMA JOURNAL OF NUMERICAL ANALYSIS (2011)
  • R. Cabrales, F. Guillén-González, J.V. Gutiérrez-Santacreu.. Stability and convergence for a complete model of mass diffusion. APPLIED NUMERICAL MATHEMATICS (2011)
  • Badia, S. ; Guillén-Gónzalez, F.; Gutiérrez-Santacreu, J. V.. An overview on numerical analyses of nematic liquid crystal flows. ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING (2011)
  • Santiago Badia, Francisco Guillén González, Juan Vicente Gutierrez Santacreu. Finite Element Approximation of Nematic Liquid Crystal Flows Using a Saddle-Point Structure. JOURNAL OF COMPUTATIONAL PHYSICS (2011)
  • Girault, V.; Guillén-González, F.. Mixed formulation, approximation and decoupling algorithm for a penalized nematic liquid crystals model. MATHEMATICS OF COMPUTATION (2011)
  • Francisco Guillén González, M Poblete-Cantellano, Marko Rojas Medar. On the Variational Inequalities Related to Viscous Density-Dependent Incompressible Fluids. Annali Dell Università di Ferrara (2010)
  • Luis Friz, Francisco Guillén González, Marko Rojas Medar. Reproductive Solution of a Second-Grade Fluid System. COMPTES RENDUS MATHEMATIQUE (2010)
  • Blanca Climent Ezquerra, Francisco Guillén González. Global in Time Solution and Time-Periodicity for a Smectic-a Liquid Crystal Model. Communications on Pure and Applied Analysis (2010)
  • Blanca Climent Ezquerra, Francisco Guillén González, Mª Ángeles Rodríguez Bellido. Stability for Nematic Liquid Crystals With Stretching Terms. International Journal of Bifurcation and Chaos (2010)
  • Inmaculada Gayte Delgado, Francisco Guillén González, Marko Rojas Medar. Dubovitskii-Milyutin Formalism Applied to Optimal Control Problems With Constraints Given by the Heat Equation With Final Data. IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION (2010)
  • Francisco Guillén González, Mª Ángeles Rodríguez Bellido, Marko Rojas Medar. Sufficient Conditions for Regularity and Uniqueness of a 3d Nematic Liquid Crystal Model. Mathematische Nachrichten (2009)
  • Francisco Guillén González, Juan Vicente Gutierrez Santacreu. Stability and Convergence of Two Fully Discrete Schemes for A non Isothermal Phase-Field Model. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE (2009)
  • Francisco Guillén González, Marko Rojas Medar, Luis Friz. Reproductive Solution For grade-Two Fluid Model in Two Dimensions. Revista Integración, Temas de Matemáticas (2009)
  • Francisco Guillén González, Juan Vicente Gutierrez Santacreu. Finite Element Method for the Approximation of a Model of Nematic Liquid Crystals. SeMA Journal (2009)
  • Francisco Guillén González, Mª Ángeles Rodríguez Bellido. Convergence and Error Estimates of Two Iterative Methods For the Strong Solution of the Korteweg Model. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES (2009)
  • Francisco Guillén González, Gabriela Planas. On the Asymptotic Behavior of the 2d Navier-Stokes Equations With Navier Friction Conditions Towards Euler Equations. ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik (2009)
  • Blanca Climent Ezquerra, Francisco Guillén González, María Jesús Moreno Iraberte. Regularty and Time-Periodicity for a Nematic Liquid Crystal Model. Nonlinear Analysis-Theory Methods & Applications (2009)
  • Sergio Guerrero Rodríguez, Francisco Guillén González. On the Controllability of the Hydrostatic Stokes Equations. Journal of Mathematical Fluid Mechanics (2008)
  • Francisco Guillén González, Juan Vicente Gutierrez Santacreu. Unconditional Stability and Convergence of Fully Discrete Schemes for 2d Viscous Fluids Models With Mass Diffusion. Mathematics of Computation (2008)
  • Francisco Guillén González, M. Sy. Iterative Method for Mass Diffusion Model With Density Dependent Viscosity. Discrete and Continuous Dynamical Systems-Series B (2008)
  • Francisco Guillén González, Juan Vicente Gutierrez Santacreu. Conditional Stability and Convergence of a Fully Discrete Scheme for Three-Dimensional Navier-Stokes Equations With Mass Diffusion. SIAM JOURNAL ON NUMERICAL ANALYSIS (2008)
  • Francisco Guillén González, María Victoria Redondo Neble. Sharp Error Estimates for a Fractional-Step Method Applied to the 3d Navier-Stokes Equations. Comptes Rendus Mathematique (2007)
  • Blanca Climent Ezquerra, Francisco Guillén González, Marko Rojas Medar. A Review on Reproductivity and Time Periodicity for Incompressible Fluids. SeMA Journal (2007)
  • Pedro D. Damazio, Francisco Guillén González, Juan Vicente Gutierrez Santacreu, Marko Rojas Medar. Local and Global Strong Solution by the Semi-Galerkin Method for the Model of Mass Diffusion. Matemática Contemporánea (2007)
  • Francisco Guillén González, Pedro D. Damazio, M.A. Rojas-Medar. Approximation by an Iterative Method for Regular Solutions for Incompressible Fluids With Mass Diffusion. Journal of Mathematical Analysis and Applications (2007)
  • Blanca Climent Ezquerra, Francisco Guillén González, Marko Rojas Medar. Time-Periodic Solutions for a Generalized Boussinesq Model With Neumann Boundary Conditions for Temperature. Proceedings of the Royal Society of London Series a: Mathematical Physical and Engineering Sciences (2007)

Libros y capítulos (7)

  • Climent-Ezquerra, B., Guillén-González, F.. Long-time behavior of a Cahn-Hilliard-Navier-Stokes vesicle-fluid interaction model. (2016)
  • Guillén-González, F., Rodríguez-Galván, J.R.. Finite element approximation of hydrostatic stokes equations: Review and tests. (2016)
  • Guillén González, Francisco; Rodríguez Bellido, María de los Ángeles.. Some properties on the QTensor system. Prensas Univ. Zaragoza (2014)
  • F. Guillén-González, M.A.Rodríguez-Bellido. Sobre las propiedades de algunos modelos de Cristales Líquidos. (2013)
  • F. Guillén-González, M.A. Rodríguez-Bellido. Existence and uniqueness results for Liquid Crystals Models. Serv. Publ. Univ. Cádiz (2013)
  • B. Climent-Ezquerra, F. Guillén-González , M.A. Rodríguez Bellido. Estabilidad asintótica para modelos de Cristales Líquidos Nemáticos. (2009)
  • D. Bresch, F. Guillén-González, M. A. Rodríguez-Bellido. Regularidad anisótropa de un problema de Ecuaciones Primitivas. (2007)

Aportaciones a congresos (13)

  • Tierra, G., Guillén-González, F., Rodríguez-Bellido, M.Á.. Splitting schemes for mixtures of nematic-isotropic flows with anchoring effects. (2018)
  • Guillén-González, F., Redondo-Neble, M.V., Rodríguez-Galván, J.R.. Stable discontinuous galerkin approximations for the hydrostatic stokes equations. (2017)
  • F. Guillén-González, M.A. Rodríguez-Bellido. Existence and uniqueness results for Liquid Crystals Models. Fluid Mechanics and Singular Integrals (2013)
  • F. Guillén-González, M.A.Rodríguez-Bellido. Sobre las propiedades de algunos modelos de Cristales Líquidos. XII Congreso de Matemática Capricornio COMCA (2013)
  • F. Guillén-González, M.A. Rodríguez-Bellido. Existence and uniqueness results for Liquid Crystals Models. Fluid Mechanics and Singular Integrals (2013)
  • F. Guillén-González, M.A. Rodríguez-Bellido.. Some properties on the Q-Tensor system. Twelfth International Conference Zaragoza-Pau on Mathematics. (2012)
  • Climent Ezquerra, Blanca; Guillén González, Francisco. Some Topics About Nematic and Smectic-a Liquid Crystals. III Workshop Iberoamericano de Matemática Aplicada (WIMA 2010) (2010)
  • B. Climent-Ezquerra, F. Guillén-González , M.A. Rodríguez Bellido. Stability for a nematic liquid cristal model.. International Conference of Non-Autonomous and Stochastic Dynamical Systems and Multidisciplinary Applications (NSDS'09) (2009)
  • Climent Ezquerra, Blanca; Guillén González, Francisco. Global in Time Solution and Time-Periodicity for a Smectic-a Liquid Crystal Model. XXI Congreso de Ecuaciones Diferenciales y Aplicaciones / XI Congreso de Matemática Aplicada (2009)
  • B. Climent-Ezquerra, F. Guillén-González , M.A. Rodríguez Bellido. Estabilidad asintótica para modelos de Cristales Líquidos Nemáticos. XXI CEDYA (Congreso de Ecuaciones Diferenciales y Aplicaciones)/ XI CMA (Congreso de Matemática Aplicada). (2009)
  • Climent Ezquerra, Blanca; Guillén González, Francisco; Rojas Medar, Marko Antonio. Reproductivity and time-periodicity for incompressible fluids. II Workshop Iberoamericano de Matemática Aplicada (WIMA 2008) (2008)
  • D. Bresch, F. Guillén-González, M. A. Rodríguez-Bellido. Regularidad anisótropa de un problema de Ecuaciones Primitivas. XX CEDYA (Congreso de Ecuaciones Diferenciales y Aplicaciones)/ X CMA (Congreso de Matemática Aplicada) (2007)
  • Climent-Ezquerra, B.; Guillén-González, F.; Rojas Medar, M. A. Reproductive and time periodic solutions for incompressible fluids. XX Congreso de Ecuaciones Diferenciales y Aplicaciones / X Congreso de Matemática Aplicada (2007)

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Listado de Artículos (55)
Unconditionally energy stable numerical schemes for phase-field vesicle membrane model Guillén-González, F., Tierra, G., Journal of Computational Physics 2018 - 0
Convergence and error estimates of viscosity-splitting finite-element schemes for the primitive equations Guillén-González, F., Redondo-Neble, M. V., Applied Numerical Mathematics 2017 - 0
A projection-based time-splitting algorithm for approximating nematic liquid crystal flows with stretching Cabrales, R.C., Guillén-González, F., Gutiérrez-Santacreu, J.V., ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik. Journal of Applied Mathematics and Mechanics 2017 - 0
Optimal first-order error estimates of a fully segregated scheme for the Navier–Stokes equations Guillén-González, F., Redondo-Neble, M.V., Journal of Computational and Applied Mathematics 2017 - 0
On the stability of approximations for the Stokes problem using different finite element spaces for each component of the velocity Guillén-González, F., Rodríguez Galván, J. R., Applied Numerical Mathematics 2016 - 0
Linear unconditional energy-stable splitting schemes for a phase-field model for nematic-isotropic flows with anchoring effects Francisco Guillén-González, María Ángeles Rodríguez-Bellido, Giordano Tierra, International Journal for Numerical Methods in Engineering 2016 - 1
On fully decoupled, convergent schemes for diffuse interface models for two-phase flow with general mass densities Grün, Günther, Guillén-González, Francisco, Metzger, Stefan, Communications in Computational Physics 2016 - 0
Analysis of the hydrostatic Stokes problem and finite-element approximation in unstructured meshes Guillén González, F., Rodríguez Galván, J.R., NUMERISCHE MATHEMATIK 2015 - 2
A time-splitting finite-element stable approximation for the ericksen-leslie equations Cabrales, R.C, Guillén-González, F., Gutiérrez-Santacreu, J.V., Siam Journal on Scientific Computing 2015 - 0
A uniqueness and regularity criterion for Q-tensor models with Neumann boundary conditions F.Guillén-González, M.A.Rodríguez-Bellido, Differential and Integral Equations 2015 - 0
Stabilized schemes for the hydrostatic Stokes equations Guillén González, F., Rodríguez Galván, J. R., Siam Journal on Numerical Analysis 2015 - 0
A Splitting in Time Scheme and Augmented Lagrangian Method for a Nematic Liquid Crystal Problem Guillén-González, F., Koko, J., Journal of Scientific Computing 2015 - 0
Approximation of Smectic-A liquid crystals Guillén-González, F., Tierra, G, Computer Methods in Applied Mechanics and Engineering 2015 - 0
Corrigendum to our paper "On the asymptotic behaviour of the 2D Navier-Stokes equations with Navier friction conditions towards Euler equations." [ZAMM 89(10), 810-822, 2009] Guillén-González, F., Planas, G., ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik 2015 - 0
Numerical methods for solving the Cahn-Hilliard equation and its applicability to related energy-based models Tierra, G., Guillén-González, F., Archives of Computational Methods in Engineering 2015 - 5
Weak solutions for an initial-boundary Q-tensor problem related to liquid crystals Guillén-González, Francisco, Rodríguez-Bellido, María Ángeles, Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal. Series A: Theory and Methods 2015 - 1
A review of mathematical analysis of nematic and smectic-A liquid crystal models Climent Ezquerra, Blanca, Guillén González, Francisco, EUROPEAN JOURNAL OF APPLIED MATHEMATICS 2014 - 0
Splitting schemes for a Navier-Stokes-Cahn-Hilliard model for two fluids with different densities Guillén-González, Francisco, Tierra, Giordano, Journal of Computational Mathematics 2014 - 0
Convergence to equilibrium for smectic-A liquid crystals in 3D domains without constraints for the viscosity Climent-Ezquerra, Blanca, Guillén-González, Francisco, Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal. Series A: Theory and Methods 2014 - 1
Second order schemes and time-step adaptivity for Allen-Cahn and Cahn-Hilliard models Guillén-González, Francisco, Tierra, Giordano, Computers & Mathematics with Applications 2014 - 1
Weak time regularity and uniqueness for a Q-tensor model Guillén-González, Francisco, Rodríguez-Bellido, María Ángeles, SIAM JOURNAL ON MATHEMATICAL ANALYSIS 2014 - 1
On linear schemes for a Cahn-Hilliard diffuse interface model Guillén-González, F., Tierra, G, JOURNAL OF COMPUTATIONAL PHYSICS 2013 - 10
On the approximate controllability of Stackelberg-Nash strategies for Stokes equations F. Guillén-González, F. Marques-Lopes, M. Rojas-Medar, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 2013 - 4
A linear mixed finite element scheme for a nematic Ericksen-Leslie liquid crystal model Guillén González, F., Gutiérrez-Santa Creu, J.V., ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 2013 - 0
Spatial error estimates for a finite element viscosity-splitting scheme for the Navier-Stokes equations Guillén González, Francisco., Redondo-Neble, María Victoria., International Journal of Numerical Analysis & Modeling 2013 - 0
On a double penalized smectic-A model B. Climent-Ezquerra, F.~Guillén-González, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 2012 - 2
Superconvergence in velocity and pressure for the 3D time-dependent Navier-Stokes equations Francisco Guillén-González, Giordano Tierra, SeMA Journal 2012 - 0
Stability and convergence at infinite time of several fully discrete schemes for a Ginzburg-Landau model for nematic liquid crystal flows Francisco Guillén-González, Mouhamadou Samsidy Goudiaby, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 2012 - 0
Finite Element Approximation of Nematic Liquid Crystal Flows Using a Saddle-Point Structure Santiago Badia, Francisco Guillén González, Juan Vicente Gutierrez Santacreu, JOURNAL OF COMPUTATIONAL PHYSICS 2011 - 8
Error Estimates of a Linear Decoupled Euler-Fem Scheme for a Mass Diffusion Model Francisco Guillén González, Juan Vicente Gutierrez Santacreu, Numerische Mathematik 2011 - 1
New Error Estimates for a Viscosity-Splitting Scheme in Time for the Three-Dimensional Navier-Stokes Equations Francisco Guillén González, María Victoria Redondo Neble, IMA JOURNAL OF NUMERICAL ANALYSIS 2011 - 3
Stability and convergence for a complete model of mass diffusion R. Cabrales, F. Guillén-González, J.V. Gutiérrez-Santacreu., APPLIED NUMERICAL MATHEMATICS 2011 - 1
An overview on numerical analyses of nematic liquid crystal flows Badia, S., Guillén-Gónzalez, F., Gutiérrez-Santacreu, J. V., ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING 2011 - 3
Mixed formulation, approximation and decoupling algorithm for a penalized nematic liquid crystals model Girault, V., Guillén-González, F., MATHEMATICS OF COMPUTATION 2011 - 3
Dubovitskii-Milyutin Formalism Applied to Optimal Control Problems With Constraints Given by the Heat Equation With Final Data Inmaculada Gayte Delgado, Francisco Guillén González, Marko Rojas Medar, IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION 2010 - 0
On the Variational Inequalities Related to Viscous Density-Dependent Incompressible Fluids Francisco Guillén González, M Poblete-Cantellano, Marko Rojas Medar, Annali Dell Università di Ferrara 2010 - 0
Reproductive Solution of a Second-Grade Fluid System Luis Friz, Francisco Guillén González, Marko Rojas Medar, COMPTES RENDUS MATHEMATIQUE 2010 - 0
Global in Time Solution and Time-Periodicity for a Smectic-a Liquid Crystal Model Blanca Climent Ezquerra, Francisco Guillén González, Communications on Pure and Applied Analysis 2010 - 0
Stability for Nematic Liquid Crystals With Stretching Terms Blanca Climent Ezquerra, Francisco Guillén González, Mª Ángeles Rodríguez Bellido, International Journal of Bifurcation and Chaos 2010 - 0
Regularty and Time-Periodicity for a Nematic Liquid Crystal Model Blanca Climent Ezquerra, Francisco Guillén González, María Jesús Moreno Iraberte, Nonlinear Analysis-Theory Methods & Applications 2009 - 0
Sufficient Conditions for Regularity and Uniqueness of a 3d Nematic Liquid Crystal Model Francisco Guillén González, Mª Ángeles Rodríguez Bellido, Marko Rojas Medar, Mathematische Nachrichten 2009 - 0
Stability and Convergence of Two Fully Discrete Schemes for A non Isothermal Phase-Field Model Francisco Guillén González, Juan Vicente Gutierrez Santacreu, ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 2009 - 0
Finite Element Method for the Approximation of a Model of Nematic Liquid Crystals Francisco Guillén González, Juan Vicente Gutierrez Santacreu, SeMA Journal 2009 - 0
Convergence and Error Estimates of Two Iterative Methods For the Strong Solution of the Korteweg Model Francisco Guillén González, Mª Ángeles Rodríguez Bellido, MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 2009 - 0
On the Asymptotic Behavior of the 2d Navier-Stokes Equations With Navier Friction Conditions Towards Euler Equations Francisco Guillén González, Gabriela Planas, ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik 2009 - 0
Reproductive Solution For grade-Two Fluid Model in Two Dimensions Francisco Guillén González, Marko Rojas Medar, Luis Friz, Revista Integración, Temas de Matemáticas 2009 - 0
Unconditional Stability and Convergence of Fully Discrete Schemes for 2d Viscous Fluids Models With Mass Diffusion Francisco Guillén González, Juan Vicente Gutierrez Santacreu, Mathematics of Computation 2008 - 9
Conditional Stability and Convergence of a Fully Discrete Scheme for Three-Dimensional Navier-Stokes Equations With Mass Diffusion Francisco Guillén González, Juan Vicente Gutierrez Santacreu, SIAM JOURNAL ON NUMERICAL ANALYSIS 2008 - 7
On the Controllability of the Hydrostatic Stokes Equations Sergio Guerrero Rodríguez, Francisco Guillén González, Journal of Mathematical Fluid Mechanics 2008 - 0
Iterative Method for Mass Diffusion Model With Density Dependent Viscosity Francisco Guillén González, M. Sy, Discrete and Continuous Dynamical Systems-Series B 2008 - 0
Approximation by an Iterative Method for Regular Solutions for Incompressible Fluids With Mass Diffusion Francisco Guillén González, Pedro D. Damazio, M.A. Rojas-Medar, Journal of Mathematical Analysis and Applications 2007 - 10
Time-Periodic Solutions for a Generalized Boussinesq Model With Neumann Boundary Conditions for Temperature Blanca Climent Ezquerra, Francisco Guillén González, Marko Rojas Medar, Proceedings of the Royal Society of London Series a: Mathematical Physical and Engineering Sciences 2007 - 0
Sharp Error Estimates for a Fractional-Step Method Applied to the 3d Navier-Stokes Equations Francisco Guillén González, María Victoria Redondo Neble, Comptes Rendus Mathematique 2007 - 0
A Review on Reproductivity and Time Periodicity for Incompressible Fluids Blanca Climent Ezquerra, Francisco Guillén González, Marko Rojas Medar, SeMA Journal 2007 - 0
Local and Global Strong Solution by the Semi-Galerkin Method for the Model of Mass Diffusion Pedro D. Damazio, Francisco Guillén González, Juan Vicente Gutierrez Santacreu, Marko Rojas Medar, Matemática Contemporánea 2007 - 0


Actividades organizadas

27.04.2018
12.12.2017
16.06.2015

Actividades propias

02.04.2018
15.12.2014
05.02.2009

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Tesis dirigidas en el Programa de Doctorado en Matemáticas (4)

Giordano Tierra Chica Análisis y simulaciones numéricas en mecánica de fluidos y campos de fase
Diego Armando Rueda Gómez Análisis Teórico y Numérico de problemas diferenciales con quimiotaxis repulsiva.
Jenny Luzgarda Condori Zamora Continuous diffuse-interface phase-field models for tumor dynamics and their applications to experimental data involving non-small cell lung cancer lines
Antonio Fernández Romero Problemas de difusión, reacción y campo de fases aplicados a modelos de organismos vivos