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Guillén González, Francisco M.

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Author ID: guillen-gonzalez.francisco-m Recent zbMATH articles by "Guillén González, Francisco M."
Published as: Guillén-González, Francisco; Guillén-González, F.; Guillen-Gonzalez, Francisco; Guillén González, F.; Guillén-González, Francisco M.; Guillén González, Francisco; Guillén González, Francisco M.; Guillén-Gonzàlez, Francisco; Guillén-González, F. M.; Guillén-Gonzalez, F.; Guillén-Gónzalez, F.
Documents Indexed: 98 Publications since 1998, including 1 Book
Reviewing Activity: 4 Reviews
all top 5

Serials

4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Numerische Mathematik
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Computers & Mathematics with Applications
3 Journal of Computational Physics
3 Journal of Mathematical Analysis and Applications
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Mathematics of Computation
3 Applied Numerical Mathematics
3 Differential and Integral Equations
2 SIAM Journal on Numerical Analysis
2 SIAM Journal on Mathematical Analysis
2 Discrete and Continuous Dynamical Systems
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Archives of Computational Methods in Engineering
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA
1 Applicable Analysis
1 Computer Methods in Applied Mechanics and Engineering
1 IMA Journal of Numerical Analysis
1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII
1 Czechoslovak Mathematical Journal
1 Journal of Computational and Applied Mathematics
1 Mathematische Nachrichten
1 Proceedings of the American Mathematical Society
1 SIAM Journal on Control and Optimization
1 Acta Applicandae Mathematicae
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Journal of Computational Mathematics
1 IMA Journal of Mathematical Control and Information
1 Applied Mathematics Letters
1 Asymptotic Analysis
1 Journal of Scientific Computing
1 European Journal of Applied Mathematics
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 SIAM Journal on Scientific Computing
1 Electronic Journal of Differential Equations (EJDE)
1 Matemática Contemporânea
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Abstract and Applied Analysis
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Journal of Mathematical Fluid Mechanics
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of Numerical Mathematics
1 Communications on Pure and Applied Analysis
1 International Journal of Numerical Analysis and Modeling
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 Communications in Computational Physics
1 S\(\vec{\text{e}}\)MA Journal
1 SEMA SIMAI Springer Series
1 Results in Applied Mathematics

Publications by Year

Citations contained in zbMATH Open

69 Publications have been cited 604 times in 371 Documents Cited by Year
On linear schemes for a Cahn-Hilliard diffuse interface model. Zbl 1284.35025
Guillén-González, F.; Tierra, G.
69
2013
Anisotropic estimates and strong solutions of the primitive equations. Zbl 1161.76454
Guillén-González, F.; Masmoudi, N.; Rodríguez-Bellido, M. A.
55
2001
Second order schemes and time-step adaptivity for Allen-Cahn and Cahn-Hilliard models. Zbl 1362.65104
Guillén-González, Francisco; Tierra, Giordano
42
2014
Finite element approximation of nematic liquid crystal flows using a saddle-point structure. Zbl 1211.82056
Badia, Santiago; Guillén-González, Francisco; Gutiérrez-Santacreu, Juan Vicente
32
2011
Numerical methods for solving the Cahn-Hilliard equation and its applicability to related energy-based models. Zbl 1348.82080
Tierra, G.; Guillén-González, F.
32
2015
On the approximate controllability of Stackelberg-Nash strategies for Stokes equations. Zbl 1301.93082
Guillén-González, F.; Marques-Lopes, F.; Rojas-Medar, M.
20
2013
On the uniqueness of weak solutions of the two-dimensional primitive equations. Zbl 1042.35042
Bresch, D.; Guillén-González, F.; Masmoudi, N.; Rodríguez-Bellido, M. A.
19
2003
Reproductivity for a nematic liquid crystal model. Zbl 1106.35058
Climent-Ezquerra, Blanca; Guillén-González, Francisco; Rojas-Medar, Marko
17
2006
An intrinsic analysis of existence of solutions for the hydrostatic approximation of Navier-Stokes equations. Zbl 0959.35134
Chacón Rebollo, Tomás; Guillén González, Francisco
16
2000
Weak time regularity and uniqueness for a \(Q\)-tensor model. Zbl 1315.35167
Guillén-González, Francisco; Rodríguez-Bellido, María Ángeles
14
2014
Regularity and time-periodicity for a nematic liquid crystal model. Zbl 1194.35088
Climent-Ezquerra, Blanca; Guillén-González, Francisco; Moreno-Iraberte, M. Jesus
14
2009
An overview on numerical analyses of nematic liquid crystal flows. Zbl 1284.76247
Badia, S.; Guillén-Gónzalez, F.; Gutiérrez-Santacreu, J. V.
13
2011
Unconditionally energy stable numerical schemes for phase-field vesicle membrane model. Zbl 1380.76037
Guillén-González, F.; Tierra, G.
11
2018
Sufficient conditions for regularity and uniqueness of a 3D nematic liquid crystal model. Zbl 1173.35033
Guillén-González, F.; Rodríguez-Bellido, M. A.; Rojas-Medar, M. A.
11
2009
On fully decoupled, convergent schemes for diffuse interface models for two-phase flow with general mass densities. Zbl 1373.76089
Grün, Günther; Guillén-González, Francisco; Metzger, Stefan
11
2016
A linear mixed finite element scheme for a nematic Ericksen-Leslie liquid crystal model. Zbl 1290.82031
Guillén-González, F. M.; Gutiérrez-Santacreu, J. V.
10
2013
Splitting schemes for a Navier-Stokes-Cahn-Hilliard model for two fluids with different densities. Zbl 1324.76032
Guillén-González, Francisco; Tierra, Giordano
10
2014
Unconditional stability and convergence of fully discrete schemes for \(2D\) viscous fluids models with mass diffusion. Zbl 1193.35153
Guillén-González, Francisco; Gutiérrez-Santacreu, Juan Vicente
10
2008
Weak solutions for an initial-boundary \(\mathcal{Q}\)-tensor problem related to liquid crystals. Zbl 1304.35547
Guillén-González, Francisco; Rodríguez-Bellido, María Ángeles
9
2015
A note on a degenerate elliptic equation with applications for lakes and seas. Zbl 1063.35131
Bresch, Didier; Lemoine, Jerome; Guillen-Gonzalez, Francisco
9
2004
Global in time solution and time-periodicity for a smectic-A liquid crystal model. Zbl 1428.76024
Climent-Ezquerra, Blanca; Guillén-González, Francisco
9
2010
Approximation by an iterative method for regular solutions for incompressible fluids with mass diffusion. Zbl 1103.76017
Guillén-González, F.; Damázio, P.; Rojas-Medar, M. A.
9
2007
New error estimates for a viscosity-splitting scheme in time for the three-dimensional Navier-Stokes equations. Zbl 1287.76180
Guillén-González, F.; Redondo-Neble, M. V.
9
2011
Analysis of the hydrostatic Stokes problem and finite-element approximation in unstructured meshes. Zbl 1330.35324
Guillén-González, F.; Rodríguez-Galván, J. R.
8
2015
Stability for nematic liquid crystals with stretching terms. Zbl 1202.76018
Climent-Ezquerra, B.; Guillén-González, F.; Rodríguez-Bellido, M. A.
8
2010
Mixed formulation, approximation and decoupling algorithm for a penalized nematic liquid crystals model. Zbl 1228.35176
Girault, V.; Guillén-González, F.
8
2011
Time-periodic solutions for a generalized Boussinesq model with Neumann boundary conditions for temperature. Zbl 1132.76014
Climent-Ezquerra, Blanca; Guillén-González, Francisco; Rojas-Medar, Marko Antonio
8
2007
Conditional stability and convergence of a fully discrete scheme for three-dimensional Navier-Stokes equations with mass diffusion. Zbl 1180.35426
Guillén-González, F.; Gutiérrez-Santacreu, J. V.
7
2008
On the stability of approximations for the Stokes problem using different finite element spaces for each component of the velocity. Zbl 1329.76172
Guillén-González, F.; Rodríguez Galván, J. R.
6
2016
Bubble finite elements for the primitive equations of the ocean. Zbl 1095.76031
Guillén-González, F.; Rodríguez-Gómez, D.
6
2005
Convergence and error estimates of viscosity-splitting finite-element schemes for the primitive equations. Zbl 1387.86005
Guillén-González, F.; Redondo-Neble, M. V.
6
2017
Stabilized schemes for the hydrostatic Stokes equations. Zbl 1328.35168
Guillén González, F.; Rodríguez Galván, J. R.
5
2015
Global solution of nematic liquid crystals models. Zbl 1022.76005
Guillén-González, Francisco; Rojas-Medar, Marko
5
2002
Local strong solution for the incompressible Korteweg model. Zbl 1089.35047
Sy, Mamadou; Bresch, Didier; Guillén-González, Francisco; Lemoine, Jérôme; Rodríguez-Bellido, Maria Angeles
5
2006
Spatial error estimates for a finite element viscosity-splitting scheme for the Navier-Stokes equations. Zbl 1299.76135
Guillén-González, Francisco; Redondo-Neble, María Victoria
5
2013
Convergence to equilibrium for smectic-A liquid crystals in \(3D\) domains without constraints for the viscosity. Zbl 06279603
Climent-Ezquerra, Blanca; Guillén-González, Francisco
4
2014
A corrector for the Sverdrup solution for a domain with islands. Zbl 1096.35112
Bresch, D.; Guillén-Gonzalez, F.; Rodríguez-Bellido, M. A.
4
2004
On the strong solutions of the primitive equations in 2D domains. Zbl 1013.35066
Guillén-González, F.; Rodríguez-Bellido, M. A.
4
2002
Asymptotic derivation of a Navier condition for the primitive equations. Zbl 1048.76013
Bresch, D.; Guillén-González, F.; Masmoudi, N.; Rodríguez-Bellido, M. A.
4
2003
Density-dependent incompressible fluids with non-Newtonian viscosity. Zbl 1080.35004
Guillén-González, F.
4
2004
Unconditionally energy stable fully discrete schemes for a chemo-repulsion model. Zbl 1417.65170
Guillén-González, F.; Rodríguez-Bellido, M. A.; Rueda-Gómez, D. A.
4
2019
Error estimates of a linear decoupled Euler-FEM scheme for a mass diffusion model. Zbl 1428.35359
Guillén-González, Francisco; Gutiérrez-Santacreu, Juan Vicente
3
2011
On a double penalized smectic-A model. Zbl 1252.76008
Climent-Ezquerra, Blanca; Guillén-González, Francisco
3
2012
Study of a chemo-repulsion model with quadratic production. II: Analysis of an unconditionally energy-stable fully discrete scheme. Zbl 1447.65075
Guillén-González, F.; Rodríguez-Bellido, M. A.; Rueda-Gómez, D. A.
3
2020
Study of a chemo-repulsion model with quadratic production. I: Analysis of the continuous problem and time-discrete numerical schemes. Zbl 1447.65076
Guillén-González, F.; Rodríguez-Bellido, M. A.; Rueda-Gómez, D. A.
3
2020
Optimal bilinear control problem related to a chemo-repulsion system in 2D domains. Zbl 1442.35189
Guillén-González, Francisco; Mallea-Zepeda, Exequiel; Rodríguez-Bellido, María Ángeles
3
2020
A time-splitting finite-element stable approximation for the Ericksen-Leslie equations. Zbl 1321.35153
Cabrales, R. C.; Guillén-González, F.; Gutiérrez-Santacreu, J. V.
2
2015
A review of mathematical analysis of nematic and smectic-A liquid crystal models. Zbl 1391.76042
Climent-Ezquerra, Blanca; Guillén-González, Francisco
2
2014
Dubovitskii-Milyutin formalism applied to optimal control problems with constraints given by the heat equation with final data. Zbl 1193.49021
Gayte, Inmaculada; Guillén-González, Francisco; Rojas-Medar, Marko
2
2010
On the variational inequalities related to viscous density-dependent incompressible fluids. Zbl 1205.35225
Guillén-González, Francisco; Poblete-Cantellano, Mariano; Rojas-Medar, Marko A.
2
2010
Global in time solutions for the Poiseuille flow of Oldroyd type in 3D domains. Zbl 1020.76005
Climent Ezquerra, B.; Guillén González, F.
2
2001
Hydrostatic Stokes equations with non-smooth data for mixed boundary conditions. Zbl 1062.35064
Guillén-González, F.; Rodríguez-Bellido, M. A.; Rojas-Medar, M. A.
2
2004
Local and global strong solution by the semi-Galerkin method for the model of mass diffusion. Zbl 1158.76042
Damázio, P. D.; Guillén-González, F.; Gutiérrez-Santacreu, J. V.; Rojas-Medar, M. A.
2
2007
Iterative method for mass diffusion model with density dependent viscosity. Zbl 1157.35448
Guillén-González, F.; Sy, Mamadou
2
2008
A regularity criterion for a 3D chemo-repulsion system and its application to a bilinear optimal control problem. Zbl 1439.35224
Guillen-Gonzalez, Francisco; Mallea-Zepeda, Exequiel; Rodriguez-Bellido, Maria Angeles
2
2020
From a cell model with active motion to a Hele-Shaw-like system: a numerical approach. Zbl 1419.92004
Guillén-González, Francisco; Gutiérrez-Santacreu, Juan Vicente
2
2019
Convergence to equilibrium of global weak solutions for a Cahn-Hilliard-Navier-Stokes vesicle model. Zbl 1421.35271
Climent-Ezquerra, Blanca; Guillén-González, Francisco
2
2019
On the controllability of the hydrostatic Stokes equations. Zbl 1162.76337
Guerrero, S.; Guillén-González, F.
2
2008
Sharp error estimates for a fractional-step method applied to the 3D Navier-Stokes equations. Zbl 1142.76037
Guillén-González, Francisco; Redondo-Neble, María Victoria
2
2007
Stability and convergence for a complete model of mass diffusion. Zbl 1302.76097
Cabrales, R. C.; Guillén-González, F.; Gutiérrez-Santacreu, J. V.
2
2011
A splitting in time scheme and augmented Lagrangian method for a nematic liquid crystal problem. Zbl 1330.76068
Guillén-González, F.; Koko, J.
1
2015
A uniqueness and regularity criterion for \(Q\)-tensor models with Neumann boundary conditions. Zbl 1340.35261
Guillén-González, Francisco; Rodríguez-Bellido, María Ángeles
1
2015
Stability and convergence of two discrete schemes for a degenerate solutal non-isothermal phase-field model. Zbl 1171.80006
Guillén-González, Francisco; Gutiérrez-Santacreu, Juan Vicente
1
2009
A review on the improved regularity for the primitive equations. Zbl 1101.35359
Guillén-González, Francisco; Rodríguez-Bellido, María Ángeles
1
2005
On the asymptotic behaviour of the 2D Navier-Stokes equations with Navier friction conditions towards Euler equations. Zbl 1176.35129
Guillén-González, Francisco; Planas, Gabriela
1
2009
Long-time behavior of a Cahn-Hilliard-Navier-Stokes vesicle-fluid interaction model. Zbl 1404.35350
Climent-Ezquerra, Blanca; Guillén-González, Francisco
1
2016
Superconvergence in velocity and pressure for the 3D time-dependent Navier-Stokes equations. Zbl 1307.35194
Guillén-González, Francisco; Tierra, Giordano
1
2012
On a bi-dimensional chemo-repulsion model with nonlinear production and a related optimal control problem. Zbl 1464.35225
Guillén-González, Francisco; Mallea-Zepeda, Exequiel; Villamizar-Roa, Élder J.
1
2020
Theoretical analysis for a PDE-ODE system related to a glioblastoma tumor with vasculature. Zbl 1464.35360
Fernández-Romero, A.; Guillén-González, F.; Suárez, A.
1
2021
Theoretical analysis for a PDE-ODE system related to a glioblastoma tumor with vasculature. Zbl 1464.35360
Fernández-Romero, A.; Guillén-González, F.; Suárez, A.
1
2021
Study of a chemo-repulsion model with quadratic production. II: Analysis of an unconditionally energy-stable fully discrete scheme. Zbl 1447.65075
Guillén-González, F.; Rodríguez-Bellido, M. A.; Rueda-Gómez, D. A.
3
2020
Study of a chemo-repulsion model with quadratic production. I: Analysis of the continuous problem and time-discrete numerical schemes. Zbl 1447.65076
Guillén-González, F.; Rodríguez-Bellido, M. A.; Rueda-Gómez, D. A.
3
2020
Optimal bilinear control problem related to a chemo-repulsion system in 2D domains. Zbl 1442.35189
Guillén-González, Francisco; Mallea-Zepeda, Exequiel; Rodríguez-Bellido, María Ángeles
3
2020
A regularity criterion for a 3D chemo-repulsion system and its application to a bilinear optimal control problem. Zbl 1439.35224
Guillen-Gonzalez, Francisco; Mallea-Zepeda, Exequiel; Rodriguez-Bellido, Maria Angeles
2
2020
On a bi-dimensional chemo-repulsion model with nonlinear production and a related optimal control problem. Zbl 1464.35225
Guillén-González, Francisco; Mallea-Zepeda, Exequiel; Villamizar-Roa, Élder J.
1
2020
Unconditionally energy stable fully discrete schemes for a chemo-repulsion model. Zbl 1417.65170
Guillén-González, F.; Rodríguez-Bellido, M. A.; Rueda-Gómez, D. A.
4
2019
From a cell model with active motion to a Hele-Shaw-like system: a numerical approach. Zbl 1419.92004
Guillén-González, Francisco; Gutiérrez-Santacreu, Juan Vicente
2
2019
Convergence to equilibrium of global weak solutions for a Cahn-Hilliard-Navier-Stokes vesicle model. Zbl 1421.35271
Climent-Ezquerra, Blanca; Guillén-González, Francisco
2
2019
Unconditionally energy stable numerical schemes for phase-field vesicle membrane model. Zbl 1380.76037
Guillén-González, F.; Tierra, G.
11
2018
Convergence and error estimates of viscosity-splitting finite-element schemes for the primitive equations. Zbl 1387.86005
Guillén-González, F.; Redondo-Neble, M. V.
6
2017
On fully decoupled, convergent schemes for diffuse interface models for two-phase flow with general mass densities. Zbl 1373.76089
Grün, Günther; Guillén-González, Francisco; Metzger, Stefan
11
2016
On the stability of approximations for the Stokes problem using different finite element spaces for each component of the velocity. Zbl 1329.76172
Guillén-González, F.; Rodríguez Galván, J. R.
6
2016
Long-time behavior of a Cahn-Hilliard-Navier-Stokes vesicle-fluid interaction model. Zbl 1404.35350
Climent-Ezquerra, Blanca; Guillén-González, Francisco
1
2016
Numerical methods for solving the Cahn-Hilliard equation and its applicability to related energy-based models. Zbl 1348.82080
Tierra, G.; Guillén-González, F.
32
2015
Weak solutions for an initial-boundary \(\mathcal{Q}\)-tensor problem related to liquid crystals. Zbl 1304.35547
Guillén-González, Francisco; Rodríguez-Bellido, María Ángeles
9
2015
Analysis of the hydrostatic Stokes problem and finite-element approximation in unstructured meshes. Zbl 1330.35324
Guillén-González, F.; Rodríguez-Galván, J. R.
8
2015
Stabilized schemes for the hydrostatic Stokes equations. Zbl 1328.35168
Guillén González, F.; Rodríguez Galván, J. R.
5
2015
A time-splitting finite-element stable approximation for the Ericksen-Leslie equations. Zbl 1321.35153
Cabrales, R. C.; Guillén-González, F.; Gutiérrez-Santacreu, J. V.
2
2015
A splitting in time scheme and augmented Lagrangian method for a nematic liquid crystal problem. Zbl 1330.76068
Guillén-González, F.; Koko, J.
1
2015
A uniqueness and regularity criterion for \(Q\)-tensor models with Neumann boundary conditions. Zbl 1340.35261
Guillén-González, Francisco; Rodríguez-Bellido, María Ángeles
1
2015
Second order schemes and time-step adaptivity for Allen-Cahn and Cahn-Hilliard models. Zbl 1362.65104
Guillén-González, Francisco; Tierra, Giordano
42
2014
Weak time regularity and uniqueness for a \(Q\)-tensor model. Zbl 1315.35167
Guillén-González, Francisco; Rodríguez-Bellido, María Ángeles
14
2014
Splitting schemes for a Navier-Stokes-Cahn-Hilliard model for two fluids with different densities. Zbl 1324.76032
Guillén-González, Francisco; Tierra, Giordano
10
2014
Convergence to equilibrium for smectic-A liquid crystals in \(3D\) domains without constraints for the viscosity. Zbl 06279603
Climent-Ezquerra, Blanca; Guillén-González, Francisco
4
2014
A review of mathematical analysis of nematic and smectic-A liquid crystal models. Zbl 1391.76042
Climent-Ezquerra, Blanca; Guillén-González, Francisco
2
2014
On linear schemes for a Cahn-Hilliard diffuse interface model. Zbl 1284.35025
Guillén-González, F.; Tierra, G.
69
2013
On the approximate controllability of Stackelberg-Nash strategies for Stokes equations. Zbl 1301.93082
Guillén-González, F.; Marques-Lopes, F.; Rojas-Medar, M.
20
2013
A linear mixed finite element scheme for a nematic Ericksen-Leslie liquid crystal model. Zbl 1290.82031
Guillén-González, F. M.; Gutiérrez-Santacreu, J. V.
10
2013
Spatial error estimates for a finite element viscosity-splitting scheme for the Navier-Stokes equations. Zbl 1299.76135
Guillén-González, Francisco; Redondo-Neble, María Victoria
5
2013
On a double penalized smectic-A model. Zbl 1252.76008
Climent-Ezquerra, Blanca; Guillén-González, Francisco
3
2012
Superconvergence in velocity and pressure for the 3D time-dependent Navier-Stokes equations. Zbl 1307.35194
Guillén-González, Francisco; Tierra, Giordano
1
2012
Finite element approximation of nematic liquid crystal flows using a saddle-point structure. Zbl 1211.82056
Badia, Santiago; Guillén-González, Francisco; Gutiérrez-Santacreu, Juan Vicente
32
2011
An overview on numerical analyses of nematic liquid crystal flows. Zbl 1284.76247
Badia, S.; Guillén-Gónzalez, F.; Gutiérrez-Santacreu, J. V.
13
2011
New error estimates for a viscosity-splitting scheme in time for the three-dimensional Navier-Stokes equations. Zbl 1287.76180
Guillén-González, F.; Redondo-Neble, M. V.
9
2011
Mixed formulation, approximation and decoupling algorithm for a penalized nematic liquid crystals model. Zbl 1228.35176
Girault, V.; Guillén-González, F.
8
2011
Error estimates of a linear decoupled Euler-FEM scheme for a mass diffusion model. Zbl 1428.35359
Guillén-González, Francisco; Gutiérrez-Santacreu, Juan Vicente
3
2011
Stability and convergence for a complete model of mass diffusion. Zbl 1302.76097
Cabrales, R. C.; Guillén-González, F.; Gutiérrez-Santacreu, J. V.
2
2011
Global in time solution and time-periodicity for a smectic-A liquid crystal model. Zbl 1428.76024
Climent-Ezquerra, Blanca; Guillén-González, Francisco
9
2010
Stability for nematic liquid crystals with stretching terms. Zbl 1202.76018
Climent-Ezquerra, B.; Guillén-González, F.; Rodríguez-Bellido, M. A.
8
2010
Dubovitskii-Milyutin formalism applied to optimal control problems with constraints given by the heat equation with final data. Zbl 1193.49021
Gayte, Inmaculada; Guillén-González, Francisco; Rojas-Medar, Marko
2
2010
On the variational inequalities related to viscous density-dependent incompressible fluids. Zbl 1205.35225
Guillén-González, Francisco; Poblete-Cantellano, Mariano; Rojas-Medar, Marko A.
2
2010
Regularity and time-periodicity for a nematic liquid crystal model. Zbl 1194.35088
Climent-Ezquerra, Blanca; Guillén-González, Francisco; Moreno-Iraberte, M. Jesus
14
2009
Sufficient conditions for regularity and uniqueness of a 3D nematic liquid crystal model. Zbl 1173.35033
Guillén-González, F.; Rodríguez-Bellido, M. A.; Rojas-Medar, M. A.
11
2009
Stability and convergence of two discrete schemes for a degenerate solutal non-isothermal phase-field model. Zbl 1171.80006
Guillén-González, Francisco; Gutiérrez-Santacreu, Juan Vicente
1
2009
On the asymptotic behaviour of the 2D Navier-Stokes equations with Navier friction conditions towards Euler equations. Zbl 1176.35129
Guillén-González, Francisco; Planas, Gabriela
1
2009
Unconditional stability and convergence of fully discrete schemes for \(2D\) viscous fluids models with mass diffusion. Zbl 1193.35153
Guillén-González, Francisco; Gutiérrez-Santacreu, Juan Vicente
10
2008
Conditional stability and convergence of a fully discrete scheme for three-dimensional Navier-Stokes equations with mass diffusion. Zbl 1180.35426
Guillén-González, F.; Gutiérrez-Santacreu, J. V.
7
2008
Iterative method for mass diffusion model with density dependent viscosity. Zbl 1157.35448
Guillén-González, F.; Sy, Mamadou
2
2008
On the controllability of the hydrostatic Stokes equations. Zbl 1162.76337
Guerrero, S.; Guillén-González, F.
2
2008
Approximation by an iterative method for regular solutions for incompressible fluids with mass diffusion. Zbl 1103.76017
Guillén-González, F.; Damázio, P.; Rojas-Medar, M. A.
9
2007
Time-periodic solutions for a generalized Boussinesq model with Neumann boundary conditions for temperature. Zbl 1132.76014
Climent-Ezquerra, Blanca; Guillén-González, Francisco; Rojas-Medar, Marko Antonio
8
2007
Local and global strong solution by the semi-Galerkin method for the model of mass diffusion. Zbl 1158.76042
Damázio, P. D.; Guillén-González, F.; Gutiérrez-Santacreu, J. V.; Rojas-Medar, M. A.
2
2007
Sharp error estimates for a fractional-step method applied to the 3D Navier-Stokes equations. Zbl 1142.76037
Guillén-González, Francisco; Redondo-Neble, María Victoria
2
2007
Reproductivity for a nematic liquid crystal model. Zbl 1106.35058
Climent-Ezquerra, Blanca; Guillén-González, Francisco; Rojas-Medar, Marko
17
2006
Local strong solution for the incompressible Korteweg model. Zbl 1089.35047
Sy, Mamadou; Bresch, Didier; Guillén-González, Francisco; Lemoine, Jérôme; Rodríguez-Bellido, Maria Angeles
5
2006
Bubble finite elements for the primitive equations of the ocean. Zbl 1095.76031
Guillén-González, F.; Rodríguez-Gómez, D.
6
2005
A review on the improved regularity for the primitive equations. Zbl 1101.35359
Guillén-González, Francisco; Rodríguez-Bellido, María Ángeles
1
2005
A note on a degenerate elliptic equation with applications for lakes and seas. Zbl 1063.35131
Bresch, Didier; Lemoine, Jerome; Guillen-Gonzalez, Francisco
9
2004
A corrector for the Sverdrup solution for a domain with islands. Zbl 1096.35112
Bresch, D.; Guillén-Gonzalez, F.; Rodríguez-Bellido, M. A.
4
2004
Density-dependent incompressible fluids with non-Newtonian viscosity. Zbl 1080.35004
Guillén-González, F.
4
2004
Hydrostatic Stokes equations with non-smooth data for mixed boundary conditions. Zbl 1062.35064
Guillén-González, F.; Rodríguez-Bellido, M. A.; Rojas-Medar, M. A.
2
2004
On the uniqueness of weak solutions of the two-dimensional primitive equations. Zbl 1042.35042
Bresch, D.; Guillén-González, F.; Masmoudi, N.; Rodríguez-Bellido, M. A.
19
2003
Asymptotic derivation of a Navier condition for the primitive equations. Zbl 1048.76013
Bresch, D.; Guillén-González, F.; Masmoudi, N.; Rodríguez-Bellido, M. A.
4
2003
Global solution of nematic liquid crystals models. Zbl 1022.76005
Guillén-González, Francisco; Rojas-Medar, Marko
5
2002
On the strong solutions of the primitive equations in 2D domains. Zbl 1013.35066
Guillén-González, F.; Rodríguez-Bellido, M. A.
4
2002
Anisotropic estimates and strong solutions of the primitive equations. Zbl 1161.76454
Guillén-González, F.; Masmoudi, N.; Rodríguez-Bellido, M. A.
55
2001
Global in time solutions for the Poiseuille flow of Oldroyd type in 3D domains. Zbl 1020.76005
Climent Ezquerra, B.; Guillén González, F.
2
2001
An intrinsic analysis of existence of solutions for the hydrostatic approximation of Navier-Stokes equations. Zbl 0959.35134
Chacón Rebollo, Tomás; Guillén González, Francisco
16
2000
all top 5

Cited by 458 Authors

42 Guillén González, Francisco M.
17 Yang, Xiaofeng
13 Rodríguez-Bellido, Maria Angeles
11 Zhao, Jia
10 Gutiérrez-Santacreu, Juan Vicente
10 Shen, Jie
9 Rojas-Medar, Marko Antonio
9 Titi, Edriss Saleh
8 Araruna, Fágner Dias
8 Climent-Ezquerra, Blanca
8 De Jesus, Isaías Pereira
8 Gong, Yuezheng
8 Kim, Junseok
8 Wang, Qi
7 Fernández-Cara, Enrique
7 Guo, Boling
7 Rodríguez Galván, José Rafael
6 Cao, Chongsheng
6 Han, Daozhi
6 Huang, Daiwen
6 Tierra, Giordano
6 Wu, Hao
5 Cavalheiro, Albo Carlos
5 Ding, Shijin
5 Li, Jinkai
5 Metzger, Stefan
5 Rocca, Elisabetta
5 Tachim Medjo, Theodore
5 Villamizar-Roa, Elder Jesús
5 Walker, Shawn W.
5 Wang, Xiaoming
4 Calgaro, Caterina
4 Cheng, Qing
4 Gao, Hongjun
4 Huang, Jinrui
4 Huang, Yunqing
4 Jiu, Quansen
4 Kahle, Christian
4 Li, Yibao
4 Nochetto, Ricardo Horacio
4 Redondo-Neble, María Victoria
4 Rodríguez-Gómez, Diego
4 Xu, Jie
4 Xu, Xiang
4 You, Bo
3 An, Rong
3 Badia, Santiago
3 Cabrales, Roberto Carlos
3 Calo, Victor Manuel
3 Cavaterra, Cecilia
3 Chacón Rebollo, Tomás
3 Chen, Wenbin
3 Chen, Yaoyao
3 Gal, Ciprian Gheorghe Sorin
3 Jeong, Darae
3 Kobel’kov, Georgiĭ Mikhaĭlovich
3 Lee, Seunggyu Lee
3 Mallea-Zepeda, Exequiel
3 Qian, Yanxia
3 Shin, Jaemin
3 Wang, Fengchao
3 Wang, Xue
3 Yang, Zhiguo
3 Yi, Nianyu
3 Yu, Haijun
3 Zahrouni, Ezzeddine
3 Zhang, Wujun
2 Bisconti, Luca
2 Bonart, Henning
2 Bouchriti, Anass
2 Braz e Silva, Pablo
2 Brenner, Susanne Cecelia
2 Brzeźniak, Zdzisław
2 Choi, Yongho
2 Creusé, Emmanuel
2 da Silva, Luciano Cipriano
2 Dai, Mimi
2 Dalcín, Lisandro D.
2 de Teresa, Luz
2 Diegel, Amanda E.
2 Dong, Suchuan
2 Dong, Zhao
2 Eddine Alaa, Nour
2 Ezzoug, Meriem
2 Feireisl, Eduard
2 Feng, Xinlong
2 Frank, Florian
2 Frehse, Jens
2 Garcke, Harald
2 Girault, Vivette
2 Gómez Mármol, Macarena
2 Grasselli, Maurizio
2 Grün, Günther
2 He, Yinnian
2 Hernández-Santamaría, Víctor
2 Hieber, Matthias
2 Hinze, Michael
2 Honda, Hirotada
2 Hong, Qi
2 Hussein, Amru
...and 358 more Authors
all top 5

Cited in 109 Serials

26 Journal of Computational Physics
19 Journal of Scientific Computing
17 Computers & Mathematics with Applications
17 Journal of Computational and Applied Mathematics
15 Journal of Differential Equations
14 SIAM Journal on Scientific Computing
13 Applied Numerical Mathematics
11 Computer Methods in Applied Mechanics and Engineering
10 Journal of Mathematical Analysis and Applications
9 ZAMP. Zeitschrift für angewandte Mathematik und Physik
9 Numerische Mathematik
8 Archive for Rational Mechanics and Analysis
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Nonlinear Analysis. Real World Applications
7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
6 Mathematics of Computation
6 SIAM Journal on Numerical Analysis
6 Discrete and Continuous Dynamical Systems
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Journal of Mathematical Fluid Mechanics
5 Communications on Pure and Applied Analysis
4 Mathematical Methods in the Applied Sciences
4 Acta Applicandae Mathematicae
4 Applied Mathematics Letters
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 Discrete and Continuous Dynamical Systems. Series B
4 Science China. Mathematics
3 Communications in Mathematical Physics
3 Journal of Mathematical Physics
3 Applied Mathematics and Computation
3 Chinese Annals of Mathematics. Series B
3 SIAM Journal on Mathematical Analysis
3 Journal of Nonlinear Science
3 Mathematical Problems in Engineering
3 Communications in Nonlinear Science and Numerical Simulation
3 Archives of Computational Methods in Engineering
2 Computer Physics Communications
2 Nonlinearity
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Journal of Optimization Theory and Applications
2 SIAM Journal on Control and Optimization
2 Applied Mathematics and Mechanics. (English Edition)
2 European Journal of Applied Mathematics
2 Applied Mathematical Modelling
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Calculus of Variations and Partial Differential Equations
2 Advances in Computational Mathematics
2 Abstract and Applied Analysis
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of Numerical Mathematics
2 Journal of Computational Dynamics
1 Applicable Analysis
1 Computers and Fluids
1 Communications on Pure and Applied Mathematics
1 International Journal for Numerical Methods in Fluids
1 Journal of Fluid Mechanics
1 Rocky Mountain Journal of Mathematics
1 Applied Mathematics and Optimization
1 Archiv der Mathematik
1 Calcolo
1 Commentationes Mathematicae Universitatis Carolinae
1 Journal of Functional Analysis
1 Le Matematiche
1 Mathematics and Computers in Simulation
1 Mathematische Nachrichten
1 Mathematische Zeitschrift
1 Memoirs of the American Mathematical Society
1 Proceedings of the American Mathematical Society
1 Tokyo Journal of Mathematics
1 Transactions of the American Mathematical Society
1 Transactions of the Moscow Mathematical Society
1 Systems & Control Letters
1 Note di Matematica
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Physica D
1 MCSS. Mathematics of Control, Signals, and Systems
1 Japan Journal of Industrial and Applied Mathematics
1 Numerical Algorithms
1 Communications in Partial Differential Equations
1 SIAM Review
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Potential Analysis
1 Annales Mathématiques Blaise Pascal
1 NoDEA. Nonlinear Differential Equations and Applications
1 Journal of Difference Equations and Applications
1 Doklady Mathematics
1 Mathematics and Mechanics of Solids
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Computational Geosciences
1 Journal of Dynamical and Control Systems
1 Communications in Contemporary Mathematics
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Journal of Evolution Equations
1 Bulletin of the Brazilian Mathematical Society. New Series
1 International Journal of Computational Methods
1 Mediterranean Journal of Mathematics
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 Boundary Value Problems
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 Journal of Applied Analysis and Computation
...and 9 more Serials

Citations by Year