Francisco Javier Suárez Grau
Telefono: 954 55 98 41
Email: Solicitar correo
Página personal: https://suarez-grau.fr
Perfil en ORCID: 0000-0002-6027-5087
Perfil en WOS: K-8653-2014
Perfil en Scopus: 35957382300
Perfil en Dialnet: 2973328

Departamento/Unidad: Ecuaciones Diferenciales y Análisis Numérico
Situación profesional: Profesor Contratado Doctor

Participa en los siguientes proyectos/ayudas en la US:

• Proyecto de investigación:
  • Homogeneización de Edp. Aplicación al Modelado y Diseño Óptimo (MTM2014-53309-P - Equipo de Investigación)
  • Análisis Asintótico y Control de Problemas de la Mecánica de Medios Continuos. Estudio Teórico y Numérico. (MTM2011-24457 - Investigador)
  • Comportamiento asintótico de ecuaciones en derivadas parciales. Problemas de diseño optimo (MTM2008-00306 - Otro Investigador)
  • Análisis asintótico de ecuaciones en derivadas parciales y problemas de control asociados (MTM2005-04914 - Becario)
  
  
• Ayuda a la investigación:
  • Incentivo al Grupo de Investigación FQM-309 (2011/FQM-309 - Investigador)
  • Ayuda a la Consolidación del Grupo de Investigación FQM-309 (2009/FQM-309 - Investigador)
  • Ayuda a la Consolidación del Grupo de Investigación FQM-309 (2008/FQM-309 - Investigador)
  • Ayuda a la Consolidación del Grupo de Investigación FQM-309 (2007/FQM-309 - Investigador)
  
  

Cobertura de la base de datos de proyectos, véase aqui

Publicaciones:

Libros

Suárez Grau, Francisco J.:
Comportamiento Asintótico de Fluidos Viscosos con Condiciones de Deslizamiento Sobre Fronteras Rugosas. Servicio de Publicaciones de la Universidad de Sevilla. 2011. ISBN 978-8-46-947689-5

Capítulos en Libros

Casado Díaz, Juan, Luna Laynez, Manuel, Suárez Grau, Francisco J.:
Effect of roughness on the flow of a fluid against periodic and non-periodic rough boundaries. Vol. 47. Pag. 607-614. En: Differential and Difference Equations with Applications. Springer Proceedings in Mathematics & Statistics. 2013

Casado Díaz, Juan, Luna Laynez, Manuel, Suárez Grau, Francisco J.:
Asymptotic Behavior of a Viscous Fluid Near a Rough Boundary. Vol. 81. Pag. 57-64. En: Bail 2010 - Boundary and Interior Layers, Computational and Asymptotic Methods - Lecture Notes in Computational Science and Engineering 81. Berlin, Alemania. Springer-Verlag. 2011. ISBN 978-3-642-19664-5

Publicaciones en Revistas

Anguiano, María, Suárez Grau, Francisco J.:
Mathematical derivation of a Reynolds equation for magneto-micropolar fluid flows through a thin domain. En: Zeitschrift für Angewandte Mathematik und Physik. 2024. Vol. 75. Núm. 28. https://doi.org/10.1007/s00033-023-02169-5

Pazanin, Igor, Suárez Grau, Francisco J.:
Roughness-induced effects on the thermomicropolar fluid flow through a thin domain. En: Studies in Applied Mathematics. 2023. Vol. 151. Núm. 2. Pag. 716-751. https://doi.org/10.1111/sapm.12611

Anguiano, María, Suárez Grau, Francisco J.:
Sharp pressure estimates for the Navier-Stokes system in thin porous media. En: Bulletin of the Malaysian Mathematical Sciences Society. 2023. Vol. 46. Núm. 117. Pag. 1-31. https://doi.org/10.1007/s40840-023-01514-1

Bonnivard , Matthieu, Pazanin, Igor, Suárez Grau, Francisco J.:
A generalized Reynolds equation for micropolar flows past a ribbed surface with nonzero boundary conditions. En: ESAIM: Mathematical Modelling and Numerical Analysis. 2022. Vol. 56. Pag. 1255-1305. https://doi.org/10.1051/m2an/2022039

Anguiano, María, Bonnivard, Matthieu, Suárez Grau, Francisco J.:
Carreau law for non-Newtonian fluid flow through a thin porous media. En: Quarterly journal of Mechanics and Applied Mathematics. 2022. Vol. 75. Núm. 1. Pag. 1-27. https://doi.org/10.1093/qjmam/hbac004

Suárez Grau, Francisco J.:
Theoretical derivation of Darcy's law for fluid flow in thin porous media. En: Mathematische Nachrichten. 2022. Vol. 295. Núm. 3. Pag. 607-623. http://doi.org/10.1002/mana.202000184

Anguiano, María, Suárez Grau, Francisco J.:
Lower-dimensional nonlinear Brinkman's law for non-Newtonian flows in a thin porous medium. En: Mediterranean Journal of Mathematics. 2021. Vol. 18. Núm. 175. http://doi.org/10.1007/s00009-021-01814-5

Suárez Grau, Francisco J.:
Mathematical modeling of micropolar fluid flows through a thin porous medium. En: Journal of Engineering Mathematics. 2021. Vol. 126. Núm. 7. https://doi.org/10.1007/s10665-020-10075-2

Suárez Grau, Francisco J.:
Homogenization of a micropolar fluid past a porous media with nonzero spin boundary condition. En: Mathematical Methods in the Applied Sciences. 2021. Vol. 44. Núm. 6. Pag. 4835-4857. http://doi.org/10.1002/mma.7072

Suárez Grau, Francisco J.:
Analysis of the roughness regime for micropolar fluids via homogenization. En: Bulletin of the Malaysian Mathematical Sciences Society. 2021. Vol. 44. Núm. 3. Pag. 1613-1652. http://doi.org/10.1007/s40840-020-01027-1

Casado Díaz, Juan, Luna Laynez, Manuel, Suárez Grau, Francisco J.:
A Decomposition Result for the Pressure of a Fluid in a Thin Domain and Extensions to Elasticity Problems. En: SIAM Journal on Mathematical Analysis. 2020. Vol. 52. Núm. 3. Pag. 2201-2236. https://doi.org/10.1137/19M1257871

Anguiano, María, Suárez Grau, Francisco J.:
Newtonian fluid flow in a thin porous medium with non-homogeneous slip boundary conditions. En: Networks and Heterogeneous Media. 2019. Vol. 14. Núm. 2. Pag. 289-316. http://dx.doi.org/10.3934/nhm.2019012

Anguiano, María, Suárez Grau, Francisco J.:
Nonlinear Reynolds equations for non-Newtonian thin-film fluid flows over a rough boundary. En: IMA Journal of Applied Mathematics. 2019. Vol. 84. Núm. 1. Pag. 63-95. https://doi.org/10.1093/imamat/hxy052

Pazanin, Igor, Suárez Grau, Francisco J.:
Homogenization of the Darcy-Lapwood-Brinkman Flow in a Thin Domain with Highly Oscillating Boundaries. En: Bulletin of the Malaysian Mathematical Sciences Society. 2019. Vol. 42. Núm. 6. Pag. 3073-3109. https://doi.org/10.1007/s40840-018-0649-2

Bonnivard, Matthieu, Suárez Grau, Francisco J.:
Homogenization of a Large Eddy Simulation Model for Turbulent Fluid Motion Near a Rough Wall. En: Journal of Mathematical Fluid Mechanics. 2018. Vol. 20. Pag. 1771-1813. https://doi.org/10.1007/s00021-018-0389-y

Bonnivard, Matthieu, Pazanin, Igor, Suárez Grau, Francisco J.:
Effects of rough boundary and nonzero boundary conditions on the lubrication process with micropolar fluid. En: European Journal of Mechanics B: Fluids. 2018. Vol. 72. Pag. 501-518. https://doi.org/10.1016/j.euromechflu.2018.07.013

Anguiano, María, Suárez Grau, Francisco J.:
Analysis of the effects of a fissure for a non-Newtonian fluid flow in a porous medium. En: Communications in Mathematical Sciences. 2018. Vol. 16. Núm. 1. Pag. 273-292. https://dx.doi.org/10.4310/CMS.2018.v16.n1.a13

Anguiano, María, Suárez Grau, Francisco J.:
The transition between the Navier-Stokes equations to the Darcy equation in a thin porous medium. En: Mediterranean Journal of Mathematics. 2018. Vol. 15. Núm. 45. https://doi.org/10.1007/s00009-018-1086-z

Mahabaleshwar, U. S., Pazanin, I., Radulovic, M., Suárez Grau, Francisco J.:
Effects of small boundary perturbation on the MHD duct flow. En: Theoretical and Applied Mechanics. 2017. Vol. 44. Núm. 1. Pag. 83-101. https://doi.org/10.2298/TAM170511004M

Anguiano, María, Suárez Grau, Francisco J.:
Derivation of a coupled Darcy-Reynolds equation for a fluid flow in a thin porous medium including a fissure. En: Zeitschrift für Angewandte Mathematik und Physik. 2017. Vol. 68. Núm. 52. https://doi.org/10.1007/s00033-017-0797-5

Anguiano, María, Suárez Grau, Francisco J.:
Homogenization of an incompressible non-Newtonian flow through a thin porous medium. En: Zeitschrift für Angewandte Mathematik und Physik. 2017. Vol. 68. Núm. 45. https://doi.org/10.1007/s00033-017-0790-z

Pazanin, Igor, Pereira, Marcone, Suárez Grau, Francisco J.:
Asymptotic approach to the generalized Brinkman's equation with pressure dependent viscosity and drag coefficient. En: Journal of Applied Fluid Mechanics. 2016. Vol. 9. Núm. 8. Pag. 3101-3107. https://doi.org/10.29252/jafm.09.06.25756

Bonnivard, Matthieu, Suárez Grau, Francisco J., Tierra Chica, Giordano:
On the influence of wavy riblets on the slip behavior of viscous fluids. En: Zeitschrift für Angewandte Mathematik und Physik. 2016. Vol. 67. Núm. 2. https://doi.org/10.1007/s00033-015-0614-y

Benes, Michal, Pazanin, Igor, Suárez Grau, Francisco J.:
Heat flow through a thin cooled pipe filled with micropolar fluid. En: Journal of Theoretical and Applied Mechanics. 2015. Vol. 53. Núm. 3. Pag. 569-579. https://doi.org/10.15632/jtam-pl.53.3.569

Suárez Grau, Francisco J.:
Asymptotic behavior of a non-Newtonian flow in a thin domain with Navier law on a rough boundary. En: Nonlinear Analysis, Theory, Methods and Applications. 2015. Vol. 117. Pag. 99-123. https://doi.org/10.1016/j.na.2015.01.013

Suárez Grau, Francisco J.:
Effective boundary condition for a quasi-newtonian fluid at a slightly rough boundary starting from a Navier condition. En: Zeitschrift für Angewandte Mathematik und Mechanik. 2015. Vol. 95. Núm. 2. Pag. 527-548. https://doi.org/10.1002/zamm.201300160

Pazanin, Igor, Suárez Grau, Francisco J.:
Analysis of the thin film flow in a rough domain filled with micropolar fluid. En: Computers & Mathematics with Applications. 2014. Vol. 68. Núm. 12. Pag. 1915-1932. https://doi.org/10.1016/j.camwa.2014.10.003

Pazanin, Igor, Suárez Grau, Francisco J.:
Effects of rough boundary on the heat transfer in a thin film flow. En: Comptes Rendus - Mecanique. 2013. Vol. 341. Pag. 646-652. http://dx.doi.org/10.1016/j.crme.2013.05.001

Casado Díaz, Juan, Luna Laynez, Manuel, Suárez Grau, Francisco J.:
Asymptotic behavior of the Navier-Stokes system in a thin domain with Navier condition on a slightly rough boundary. En: SIAM Journal on Mathematical Analysis. 2013. Vol. 45. Núm. 3. Pag. 1641-1674. https://doi.org/10.1137/120873479

Casado Díaz, Juan, Luna Laynez, Manuel, Suárez Grau, Francisco J.:
The homogenization of elliptic partial differential systems on rugous domains with variable boundary conditions. En: Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 2013. Vol. 143A. Pag. 303-335. https://doi.org/10.1017/S0308210510001885

Casado Díaz, Juan, Luna Laynez, Manuel, Suárez Grau, Francisco J.:
On the Navier Boundary Condition for Viscous Fluids in Rough Domains. En: Boletín de la Sociedad Española de Matemática Aplicada. 2012. Núm. 58. Pag. 5-24. https://doi.org/10.1007/BF03322603

Casado Díaz, Juan, Luna Laynez, Manuel, Suárez Grau, Francisco J.:
Estimates for the Asymptotic Expansion of a Viscous Fluid Satisfying Navier's Law on a Rugous Boundary. En: Mathematical Methods in the Applied Sciences. 2011. Pag. 1553-1561. https://doi.org/10.1002/mma.1456

Casado Díaz, Juan, Luna Laynez, Manuel, Suárez Grau, Francisco J.:
Asymptotic Behavior of a Viscous Fluid With Slip Boundary Conditions on a Slightly Rough Wall. En: Mathematical Models and Methods in Applied Sciences. 2010. Vol. 20. Núm. 1. Pag. 121-156. https://doi.org/10.1142/S0218202510004179

Casado Díaz, Juan, Luna Laynez, Manuel, Suárez Grau, Francisco J.:
A Viscous Fluid in a Thin Domain Satisfying the Slip Condition on a Slightly Rough Boundary. En: Comptes Rendus de l'Académie des Sciences. Série I, Mathématique. 2010. Pag. 967-971. https://doi.org/10.1016/j.crma.2010.07.023

Aportaciones a Congresos

Casado Díaz, Juan, Luna Laynez, Manuel, Suárez Grau, Francisco J.:
A decomposition result for the pressure of a fluid in a thin domain and some applications. Comunicación en congreso. XXIV CEDYA / XIV Cma. Cádiz, España. 2015

Suárez Grau, Francisco J.:
Effect of roughness on the flow of a fluid against periodic and non-periodic rough boundaries. Conferencia en Seminario no publicada. Seminar of the Department of Mathematics of the University of Zagreb (Croacia). Universidad de Zagreb. 2013

Suárez Grau, Francisco J.:
Effective flow of quasi-newtonian fluid through a domain with a slightly rough bottom. Comunicación en congreso. Equadiff 13. Charles University, Praga (República Checa). 2013

Suárez Grau, Francisco J.:
On the Navier condition for quasi-newtonian viscous fluids in rough domains. Comunicación en congreso. 8th Conference on Applied Mathematics and Scientific Computing. Sibenik (croacia). 2013

Suárez Grau, Francisco J.:
Asymptotic behavior of elliptic partial differential systems posed in non-periodic rough domains. Ponencia en Congreso. Symposium on Differential Equations and Difference Equations 2012. Abadía de Novacella, Italia. 2012

Suárez Grau, Francisco J.:
Homogenization of elliptic partial differential systems in non-periodic rough domains. Poster en Curso. Fourth Spring School: Analytical and Numerical aspects of Evolution Equations. Bielefeld, Alemania. 2012

Suárez Grau, Francisco J.:
Asymptotic behavior of elliptic partial differential systems posed in non-periodic rough domains. Comunicación en congreso. 7th EUROPEAN CONFERENCE ON ELLIPTIC AND PARABOLIC PROBLEMS. Gaeta, Italia. 2012

Suárez Grau, Francisco J.:
On the Navier boundary condition for viscous fluids in a thin domain covered by very small asperities. Poster en Curso. Third Spring School: Analytical and Numerical aspects of Evolution Equations. Essen, Alemania. 2011

Suárez Grau, Francisco J.:
Reynolds equation for a viscous fluid in a slightly thin rough domain. Comunicación en congreso. Equadiff 2011. Loughborough; Gran Bretaña. 2011

Suárez Grau, Francisco J.:
Influence of weak roughness in the slip behavior of a thin-film fluid flow governed by the Navier-Stokes system. Comunicación en congreso. International Conference on Differential & Difference Equations and Applications. Ponta Delgada, Açores, Portugal. 2011

Casado Díaz, Juan, Luna Laynez, Manuel, Suárez Grau, Francisco J.:
Ecuación de Reynolds para un fluido viscoso en un dominio con una frontera ligeramente rugosa. Comunicación en congreso. XXII Congreso de Ecuaciones Diferenciales y Aplicaciones. XII Congreso de Matemática Aplicad. La Palma de Mallorca. 2011

Suárez Grau, Francisco J.:
Asymptotic behavior of viscous fluid near a roguh boundary. Poster en Curso. Second Spring School: Analytical and Numerical Aspects of Evolution Equations. Berlin, Alemania. 2010

Suárez Grau, Francisco J.:
Asymptotic Behavior of a Viscous Fluid Near Arough Boundary. Poster en Congreso. Analytical and Numerical Aspects of Evolution Equations. Berlin. 2010

Suárez Grau, Francisco J.:
Homogenization of Navier-Stokes System on Rugous Domains With Varying Boundary Conditions. Poster en Congreso. International Conference on Emerging Topics in Dynamical Systems and Partial Differential Equations Dspdes'10. 2010

Suárez Grau, Francisco J.:
Homogenization of the Navier-Stokes System Posed in Periodic Rugose Domains. Comunicación en congreso. Young Researchers in Mathematics 2010. Cambridge. 2010

Suárez Grau, Francisco J.:
Asymptotic Behavior of a Viscous Fluid Near a Rough Boundary. Comunicación en congreso. Bail 2010 Boundary and Interior Layers - Computational & Asymptotic Methods. 2010

Suárez Grau, Francisco J.:
The Rugosity Effect on the Slip Behavior Ofviscous Fluids. Comunicación en congreso. I Encuentro Nacional de Jóvenes Investigadores en Matematicas Enjim. 2010

Casado Díaz, Juan, Luna Laynez, Manuel, Suárez Grau, Francisco J.:
Asymptotic Behavior of the Stokes System in a Thin Film Flow With a Rough Boundary. Poster en Curso. Spanish-Frenc Jacques-Louis Lions School. A Coruña. 2010

Suárez Grau, Francisco J.:
Asymptotic Behavior of a Viscous Fluid With Slip Boundary Conditions on a Slightly Rough Wall. Conferencia en Seminario no publicada. Seminaire Du Laboratoire de Mathematiques. Le Bourget Du Lac, Francia. 2009

Suárez Grau, Francisco J.:
Asymptotic Behavior of a Viscous Fluid With Slip Boundary Conditions on a Slightly Rough Wall. Comunicación en congreso. Simumat Summer School 2009. Castro Urdiales. 2009

Suárez Grau, Francisco J.:
On the Slip Condition for a Viscous Fluid Near a Rough Wall With Verysmall Asperities. Comunicación en congreso. Intensive School on Complex Fluids: Modelling, Theory and Numerics. 2009

Suárez Grau, Francisco J.:
Comportamiento Asintótico de un Fluido Viscoso Concondiciones de Deslizamiento Sobre una Pared Ligeramenterugosa. Comunicación en congreso. XXI CEDYA / XI Cma. Ciudad Real (España). 2009

Casado Díaz, Juan, Luna Laynez, Manuel, Suárez Grau, Francisco J.:
Asymptotic Behavior of a Viscous Fluid Near a Rough Wall With Very Small Asperities. Poster en Congreso. Xivth International Congress on Mathematical Physiscs. Prague. 2009. Xivth International Congress on Mathematical Physics. 461. 461