Recent Submissions

  • Modeling the university drinking culture phenomenon 

    Serracín Morales, Alisson; Herrera Garro, César; Sánchez Peña, Fabio Ariel (2022-11-03)
    We study a susceptible-drinker-recovered (SDR) model for the drinking culture phenomenon in university atmospheres. We find conditions for this model to have extinction and endemic equilibrium points. We analyze different ...
  • Analysis of a vorticity–based fully–mixed formulation for 3D Brinkman–Darcy problem. 

    Álvarez Guadamuz, Mario Andrés; Gatica Pérez, Gabriel Nibaldo; Ruiz Baier, Ricardo (2016)
    We propose and analyze a fully-mixed finite element method to numerically approximate the flow patterns of a viscous fluid within a highly permeable medium (an array of low concentration fixed particles), described by ...
  • A basic model for the propagation of ideologies 

    Mata Boschini, Luis Diego; Salas Jiménez, Eduardo; Sánchez Peña, Fabio Ariel (2022-11)
    Ideas and ideologies move the world and are involved in almost every aspect of human life and society. This paper presents a mathematical model for the propagation of two different ideologies in a group of people that could ...
  • The Impact of Help-Seeking for Depression: A Mathematical Model 

    Aguilar Álvarez, Daniel; Sáenz, Josúe A.; Sánchez Peña, Fabio Ariel (2022)
    For years and with the Covid-19 pandemic, mental illnesses such as depression have emerged. According to the World Health Organization, an average of 5\% of the population in a country suffers from depression. The ...
  • A mixed-primal finite element approximation of a sedimentation–consolidation system 

    Álvarez Guadamuz, Mario Andrés; Gatica Pérez, Gabriel Nibaldo; Ruiz Baier, Ricardo (2016)
    This paper is devoted to the mathematical and numerical analysis of a strongly cou- pled flow and transport system typically encountered in continuum-based models of sedimentation–consolidation processes. The model focuses ...
  • Relativistic quantum kinematics in the Moyal representation 

    Cariñena Marzo, José F.; Gracia Bondía, José M.; Várilly Boyle, Joseph C. (1990-03)
    In this paper, we obtain the phase-space quantization for relativistic spinning particles. The main tool is what we call a "Stratonovich-Weyl quantizer" which relates functions on phase space to operators on a suitable ...
  • An augmented mixed–primal finite element method for a coupled flow–transport problem 

    Álvarez Guadamuz, Mario Andrés; Gatica Pérez, Gabriel Nibaldo; Ruiz Baier, Ricardo (2015)
    In this paper we analyze the coupling of a scalar nonlinear convection-diffusion problem with the Stokes equations where the viscosity depends on the distribution of the solution to the transport problem. An augmented ...
  • A posteriori error analysis of a fully-mixed formulation for the Brinkman–Darcy problem 

    Álvarez Guadamuz, Mario Andrés; Gatica Pérez, Gabriel Nibaldo; Ruiz Baier, Ricardo (2017-09-05)
    We develop the a posteriori error analysis for a mixed finite element method applied to the coupling of Brinkman and Darcy equations in 3D, modelling the interaction of viscous and non-viscous flow effects across a given ...
  • Aposteriori error estimation for an augmented mixed-primal method applied to sedimentation–consolidation systems 

    Álvarez Guadamuz, Mario Andrés; Gatica Pérez, Gabriel Nibaldo; Ruiz Baier, Ricardo (2018-08-15)
    In this paper we develop the aposteriorierror analysis of an augmented mixed-primal finite element method for the 2D and 3D versions of a stationary flow and transport coupled system, typically encountered in sedimentati ...
  • A mixed-primal finite element method for the coupling of Brinkman-Darcy flow and nonlinear transport. 

    Álvarez Guadamuz, Mario Andrés; Gatica Pérez, Gabriel Nibaldo; Ruiz Baier, Ricardo (2021-01)
    This paper is devoted to the mathematical and numerical analysis of a model describing the interfacial flow-transport interaction in a porous-fluidic domain. The medium consists of a highly permeable material, where the ...
  • A posteriori error analysis for a viscous flow-transport problem 

    Álvarez Guadamuz, Mario Andrés; Gatica Pérez, Gabriel Nibaldo; Ruiz Baier, Ricardo (2016)
    In this paper we develop an a posteriori error analysis for an augmented mixed-primal finite element approximation of a stationary viscous flow and transport problem. The governing system corresponds to a scalar, nonlinear ...
  • Analysis of a semi-augmented mixed finite element method for double-diffusive natural convection in porous media 

    Álvarez Guadamuz, Mario Andrés; Colmenares García, Eligio Antonio; Sequeira Chavarría, Filander A. (2022-05-15)
    In this paper we study a stationary double-diffusive natural convection problem in porous media given by a Navier-Stokes/Brinkman type system, for describing the velocity and the pressure, coupled to a vector advection-diffusion ...
  • La representación de pin del grupo ortogonal infinitodimensional 

    Várilly Boyle, Joseph C. (1994-02)
    Desarrollamos en detalle la representación de pin del grupo ortogonal infinitodimensional restringido. Esta es una representación proyectiva que permuta elementos "gaussianos" en el espacio de Fock fermiónico: nuestra ...
  • Elimination of quantifiers of a theory of real closed rings. 

    Guier Acosta, Jorge Ignacio (2022-10-09)
    Let T* be the theory of lattice-ordered subrings, without minimal (non zero) idempontents, convex in von Neumann regular real closed rings that are divisible-proyectable and sc-regular. In this paper, a local divisibility ...
  • Groups definable in partial differential fields with an automorphism 

    Bustamante Medina, Ronald F.; Chatzidakis, Zoé; Montenegro Guzmán, Samaria (2021-09-28)
    In this paper we study groups definable in existentially closed partial differential fields of characteristic 0 with an automorphism which commutes with the derivations. In particular, we study Zariski dense definable ...
  • Connes' noncommutative differential geometry and the Standard Model 

    Várilly Boyle, Joseph C.; Gracia Bondía, José M. (1993-11)
    In this paper, the Connes-Lott approach to the phenomenological Lagrangian of the standard theory of elementary particles is reviewed in detail. The paper is self-contained, in that the necessary foundations in noncommutative ...
  • Productos generalizados de funciones analíticas 

    Castillo Arias, Ileana; Várilly Boyle, Joseph C. (1990-09)
    Los productos generalizados son de interés en el formalismo de la mecánica cuántica en espacios de fases. En este artículo se analizan las propiedades algebraicas y topológicas de diversos productos definidos en espacios ...
  • A Multilayer Network Model implementation for COVID-19 

    Calvo Alpízar, Juan Gabriel; Sánchez Peña, Fabio Ariel; Barboza Chinchilla, Luis Alberto; García Puerta, Yury Elena; Vásquez Brenes, Paola Andrea (2021)
    We present a numerical implementation for a multilayer network to model the transmission of Covid-19 or other diseases with a similar transmission mechanism. The model incorporates different contact types between individuals ...
  • S-matrix from the metaplectic representation 

    Várilly Boyle, Joseph C.; Gracia Bondía, José M. (1992-03)
    We show how the S-matrix for bosons in an external field can be derived directly from the infinite dimensional metaplectic representation, in terms of the classical scattering operator.
  • Distinguished Hamiltonian theorem for homogeneous symplectic manifolds 

    Cariñena Marzo, José F.; Gracia Bondía, José M.; Ibort Latre, Luis Alberto; López, Carlos; Várilly Boyle, Joseph C. (1991-09)
    A diffeomorphism of a finite-dimensional flat symplectic manifold which is canonoid with respect to all linear and quadratic Hamiltonians preserves the symplectic structure up to a factor: so runs the "quadratic Hamiltonian ...

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