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Dive into the research topics where Francisco Manuel Guillén González is active.

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Featured researches published by Francisco Manuel Guillén González.


Comptes Rendus De L Academie Des Sciences Serie I-mathematique | 2000

An intrinsic analysis of existence of solutions for the hydrostatic approximation of Navier–Stokes equations

Tomás Chacón Rebollo; Francisco Manuel Guillén González

Abstract We prove an existence result for the hydrostatic approximations of Navier–Stokes equations, also called Primitive Equations of the Ocean. We perform a direct analysis of existence of solutions, which is not based upon a singular limit process. Our analysis is essentially based upon the existence of a reduced inf-sup condition for (3D) horizontal velocities and (2D) surface pressures. It applies to general domains, without the need of a boundary talus. Our existence result is, at the same time, a result of approximation by mixed finite elements.


Abstract and Applied Analysis | 2005

The Cauchy problem and decay rates for strong solutions of a Boussinesq system

Francisco Manuel Guillén González; Márcio Santos da Rocha; Marko Antonio Rojas Medar

The Boussinesq equations describe the motion of an incompressible viscous fluid subject to convective heat transfer. Decay rates of derivatives of solutions of the three-dimension-al Cauchy problem for a Boussinesq system are studied in this work.


Archive | 2004

Optimal control and partial differential equations

María Inmaculada Gayte Delgado; Francisco Manuel Guillén González; Francisco Paulo Marques Lopes; Marko Antonio Rojas Medar


Mathematische Nachrichten | 2009

Sufficient conditions for regularity and uniqueness of a 3D nematic liquid crystal model

Francisco Manuel Guillén González; María Ángeles Rodríguez Bellido; Marko Antonio Rojas-Medar


Archive | 2006

Regular time-reproductive solutions for generalized Boussinesq model with Neumann boundary conditions for temperature

María Blanca Climent Ezquerra; Francisco Manuel Guillén González; Marko Antonio Rojas Medar


SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada | 2007

A REVIEW ON REPRODUCTIVITY AND TIME PERIODICITY FOR INCOMPRESSIBLE FLUIDS

Blanca Climent Ezquerra; Francisco Manuel Guillén González; Marko Antonio Rojas-Medar


International Journal for Numerical Methods in Engineering | 2016

Linear unconditional energy-stable splitting schemes for a phase-field model for Nematic-Isotropic flows with anchoring effects

Francisco Manuel Guillén González; María Ángeles Rodríguez Bellido; Giordano Tierra Chica


Archive | 2006

Local and global strong solution by the semi-Galerkin method for the model of mass diffusion

Pedro D. Damázio; Francisco Manuel Guillén González; Juan Vicente Gutiérrez Santacreu; Marko Antonio Rojas Medar


VII Jornadas Zaragoza-Pau de Matemática Aplicada y estadística : Jaca (Huesca), 17-18 de septiembre de 2001, 2003, ISBN 84-96214-04-4, págs. 135-144 | 2003

Uniqueness of solution for the 2D Primitive Equations with friction condition on the bottom

Didier Bresch; N. Masmoudix; María Ángeles Rodríguez Bellido; Francisco Manuel Guillén González


Archive | 2016

Linear spplitting schemes for a nematic-isotropic model with anchoring effects

Francisco Manuel Guillén González; María Ángeles Rodríguez Bellido; Giordano Tierra Chica

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