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NombreGutiérrez Santacreu, Juan Vicente
DepartamentoMatemática Aplicada I
Área de conocimientoMatemática Aplicada
Categoría profesionalProfesor Titular de Universidad
Correo electrónicoSolicitar
         
  • Nº publicaciones

    25

  • Nº visitas

    2940

  • Nº descargas

    3737


 

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Exploring numerical blow-up phenomena for the Keller-Segel-Navier-Stokes equations

Bonilla de Toro, Jesús; Gutiérrez Santacreu, Juan Vicente (De Gruyter, 2024)
The Keller-Segel-Navier-Stokes system governs chemotaxis in liquid environments. This system is to be solved for the ...
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On the approximation of turbulent fluid flows by the Navier-Stokes-α equations on bounded domains

Gutiérrez Santacreu, Juan Vicente; Rojas Medar, Marko Antonio (Elsevier, 2023)
The Navier-Stokes- equations belong to the family of LES (Large Eddy Simulation) models whose fundamental idea is to ...
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Analysis of a fully discrete approximation for the classical Keller–Segel model: Lower and a priori bounds

Gutiérrez Santacreu, Juan Vicente; Rodríguez Galván, José Rafael (Elsevier, 2021)
This paper is devoted to constructing approximate solutions for the classical Keller–Segel model governing chemotaxis. It ...
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From a cell model with active motion to a Hele–Shaw-like system: a numerical approach

Guillén González, Francisco Manuel; Gutiérrez Santacreu, Juan Vicente (Springer, 2019)
In this paper we deal with the numerical solution of a Hele{Shaw-like system via a cell model with active motion. Convergence ...
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Numerical solution for an aggregation equation with degenerate diffusion

Cabrales, Roberto Carlos; Gutiérrez Santacreu, Juan Vicente; Rodríguez Galván, José Rafael (Cornell University, 2019)
A numerical method for approximating weak solutions of an aggregation equation with degenerate diffusion is introduced. ...
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Finite element discretization of a Stokes-like model arising inplasma physics

Gutiérrez Santacreu, Juan Vicente; Maj, Omar; Restelli, Marco (Elsevier, 2018)
We consider a time-dependent diffusion-reaction model for two vector unknowns, satisfying a divergence-free constraint, ...
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Two scenarios on a potential smoothness breakdown for the three-dimensional Navier-Stokes equations

Gutiérrez Santacreu, Juan Vicente;  (Cornell University, 2018)
In this paper we construct two families of initial data being arbitrarily large under any scaling-invariant norm for which ...
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A projection-based time-splitting algorithm for approximating nematic liquid crystal flows with stretching

Cabrales, Roberto Carlos; Guillén González, Francisco Manuel; Gutiérrez Santacreu, Juan Vicente (Wiley, 2017)
A numerical method is developed for solving a system of partial differential equations modeling the flow of a nematic ...
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Inf-Sup Stable Finite Element Methods for the Landau--Lifshitz--Gilbert and Harmonic Map Heat Flow Equations

Gutiérrez Santacreu, Juan Vicente; Restelli, Marco (SIAM: Society for Industrial and Applied Mathematics, 2017)
In this paper we propose and analyze a finite element method for both the harmonic map heat and Landau–Lifshitz–Gilbert ...
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Convergence to Suitable Weak Solutions for a Finite Element Approximation of the Navier–Stokes Equations with Numerical Subgrid Scale Modeling

Badia, Santiago; Gutiérrez Santacreu, Juan Vicente (Springer, 2017)
In this work we prove that weak solutions constructed by a variational multiscale method are suitable in the sense of ...
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A time-splitting finite-element stable approximation for the Ericksen-Leslie equations

Cabrales, Roberto Carlos; Guillén González, Francisco Manuel; Gutiérrez Santacreu, Juan Vicente (Society for Industrial and Applied Mathematics, 2015)
In this paper we propose an unconditional energy-stable time-splitting finite-element scheme for approximating the ...
Ponencia
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Liquid crystal and phase-field models are related by mathematics

Guillén González, Francisco Manuel; Climent Ezquerra, María Blanca; Gutiérrez Santacreu, Juan Vicente; Rodríguez Bellido, María Ángeles; Tierra Chica, Giordano; Rojas Medar, Marko Antonio; Cabrales, Roberto Carlos; Grün, Günther (2014)
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A linear mixed finite element scheme for a nematic Ericksen-Leslie liquid crystal model

Guillén González, Francisco Manuel; Gutiérrez Santacreu, Juan Vicente (Centre National de la Recherche Scientifique, 2013)
In this work we study a fully discrete mixed scheme, based on continuous finite elements in space and a linear semi-implicit ...
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Uniform-in-time error estimates for spectral Galerkin approximations of a mass diffusion model

Gutiérrez Santacreu, Juan Vicente; Rojas Medar, María Drina (American Mathematical Society, 2012)
The goal of this paper is to present uniform-in-time error estimates by considering spectral Galerkin approximations of ...
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An overview on numerical analyses of nematic liquid crystal flows

Badia Rodríguez, Santiago; Guillén González, Francisco Manuel; Gutiérrez Santacreu, Juan Vicente (Springer, 2011)
The purpose of this work is to provide an overview of the most recent numerical developments in the field of nematic liquid ...
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Finite element approximation of nematic liquid crystal flows using a saddle-point structure

Badia Rodríguez, Santiago; Guillén González, Francisco Manuel; Gutiérrez Santacreu, Juan Vicente (Elsevier, 2011)
In this work, we propose finite element schemes for the numerical approximation of nematic liquid crystal flows, based on ...
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Error estimates of a linear decoupled Euler–FEM scheme for a mass diffusion model

Guillén González, Francisco Manuel; Gutiérrez Santacreu, Juan Vicente (Springer, 2011)
We present error estimates of a linear fully discrete scheme for a threedimensional mass diffusion model for incompressible ...
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Long-Term Stability Estimates and Existence of a Global Attractor in a Finite Element Approximation of the Navier–Stokes Equations with Numerical Subgrid Scale Modeling

Badia, Santiago; Codina, Ramón; Gutiérrez Santacreu, Juan Vicente (SIAM, 2010)
Variational multiscale methods lead to stable finite element approximations of the Navier–Stokes equations, dealing with ...
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Método de elementos finitos para la aproximación de un modelo de cristales líquidos nemáticos

Guillén González, Francisco Manuel; Gutiérrez Santacreu, Juan Vicente (Sociedad Española de Matemática Aplicada, 2009)
En esta charla analizamos la aproximación numérica con elementos finitos en espacio y diferencias finitas en tiempo de un ...
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Stability and convergence of two discrete schemes for a degenerate solutal non-isothermal phase-field model

Guillén González, Francisco Manuel; Gutiérrez Santacreu, Juan Vicente (EDP Sciences, 2009)
We analyze two numerical schemes of Euler type in time and C0 finite-element type with P1-approximation in space for solving ...
Tesis Doctoral
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Análisis numérico de algunos modelos diferenciales acoplados de la mecánica de fluidos

Gutiérrez Santacreu, Juan Vicente; Guillén González, Francisco Manuel (2008)
La finalidad de esta tesis es aportar un mayor grado de entendimiento, desde el aspecto numérico, de diversos sistemas en ...
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Conditional stability and convergence of a fully discrete scheme for three-dimensional Navier–Stokes equations with mass diffusion

Guillén González, Francisco Manuel; Gutiérrez Santacreu, Juan Vicente (Society for Industrial and Applied Mathematics, 2008)
We construct a fully discrete numerical scheme for three-dimensional incompressible fluids with mass diffusion (in ...
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Unconditional stability and convergence of fully discrete schemes for 2D viscous fluids models with mass diffusion

Guillén González, Francisco Manuel; Gutiérrez Santacreu, Juan Vicente (American Mathematical Society, 2008)
In this work we develop fully discrete (in time and space) numerical schemes for two-dimensional incompressible fluids ...
Ponencia
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Aproximación de un modelo de cristales líquidos nemáticos con un esquema completamente discreto y penalizado

Guillén González, Francisco Manuel; Gutiérrez Santacreu, Juan Vicente (2007)
En esta comunicación proponemos y analizamos un esquema numérico totalmente discreto con elementos finitos en espacio y ...
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Local and global strong solution by the semi-Galerkin method for the model of mass diffusion

Damázio, Pedro D.; Guillén González, Francisco Manuel; Gutiérrez Santacreu, Juan Vicente; Rojas Medar, Marko Antonio (Sociedade Brasileira de Matemática, 2006)
In this work, we present some results for local and global in time solutions (defined in the time interval (0, T) with T ...