Now showing items 1-20 of 573

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      A Bochev-Dohrmann-Gunzburger stabilization method for the primitive equations of the ocean  [Article]

      Chacón Rebollo, Tomás; Gómez Mármol, María Macarena; Sánchez Muñoz, Isabel María (Elsevier, 2013-04)
      We introduce a low-order stabilized discretization of the Primitive Equations of the Ocean, with a highly reduced computational complexity. We prove stability through a specific inf-sup condition, and weak convergence to ...
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      A comparison between random and stochastic modeling for a SIR model  [Article]

      Caraballo Garrido, Tomás; Colucci, Renato (American Institute of Mathematical Sciences, 2017-01)
      In this article, a random and a stochastic version of a SIR nonautonomous model previously introduced in P. E. Kloeden and V. S. Kozyakin, The dynamics of epidemiological systems with nonautonomous and random coefficients, ...
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      A Comparison Between Two Theories for Multi-Valued Semiflows and Their Asymptotic Behaviour  [Article]

      Caraballo Garrido, Tomás; Marín Rubio, Pedro; Robinson, James C. (2003)
      This paper presents a comparison between two abstract frameworks in which one can treat multi-valued semiflows and their asymptotic behaviour. We compare the theory developed by Ball [5] to treat equations whose solutions ...
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      A comparison of three turbulence models with an application to the West Pacific Warm Pool  [Article]

      Bennis, Anne-Claire; Gómez Mármol, María Macarena; Lewandowski, Roger; Chacón Rebollo, Tomás; Brossier, Françoise (2007)
      In this work, we compare three turbulence models used to parameterize the oceanic boundary layer. These three models depend on the bulk Richardson number, which is coherent with the studied region, the West Pacific Warm ...
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      A corrector for a wave problem with periodic coefficients in a 1D bounded domain  [Article]

      Casado Díaz, Juan; Couce Calvo, Julio; Maestre Caballero, Faustino; Martín Gómez, José Domingo (EDP Sciences, 2015)
      We consider a wave problem posed in a bounded open interval of R, where the coefficients, the initial conditions and the right-hand side are highly oscillating, periodic in the space variable and almost periodic in the ...
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      A corrector for the Sverdrup solution for a domain with islands  [Article]

      Bresch, Didier; Guillén González, Francisco Manuel; Rodríguez Bellido, María Ángeles (Taylor & Francis, 2004-03)
      In this paper we look at the influence of the Coriolis force on the quasi-geostrophic equations on a domain with islands. We prove that asymptotically we obtain the solution of the Sverdrup equation with homogeneous Dirichlet ...
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      A FETI method with a mesh independent condition number for the iteration matrix  [Article]

      Bernardi, Christine; Chacón Rebollo, Tomás; Chacón Vera, Eliseo (Elsevier, 2008-02-15)
      We introduce a framework for FETI methods using ideas from the decomposition via Lagrange multipliers of H1 0 (Ω) derived by Raviart-Thomas [22] P.-A. Raviart, J.-M. Thomas, Primal Hybrid Finite Element Metho and complemented ...
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      A free boundary tumor model with time dependent nutritional supply  [Article]

      Sun, Wenlong; Caraballo Garrido, Tomás; Han, Xiaoying; Kloeden, Peter E. (Elsevier, 2020-06)
      A non-autonomous free boundary model for tumor growth is studied. The model consists of a nonlinear reaction diffusion equation describing the distribution of vital nutrients in the tumor and a nonlinear integro-differential ...
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      A generalization of the Kalman rank condition for time-dependent coupled linear parabolic systems  [Article]

      Ammar-Khodja, Farid; Benabdallah, Assia; Dupaix, Cédric; González Burgos, Manuel (Ele-Math, 2009-08)
      In this paper we present a generalization of the Kalman rank condition for linear ordinary differential systems to the case of systems of n coupled parabolic equations (posed in the time interval (0,T) with T > 0) where ...
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      A geometric inverse problem for the Boussinesq system  [Article]

      Doubova Krasotchenko, Anna; Fernández Cara, Enrique; González Burgos, Manuel; Ortega Palma, Jaime Humberto (American Institute of Mathematical Sciences, 2006-11)
      In this work we present some results for the inverse problem of the identification of a single rigid body immersed in a fluid governed by the stationary Boussinesq equations. First, we establish a uniqueness result. Then, ...
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      A gradient-like non autonomous evolution process  [Article]

      Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Rivero Garvía, Luis Felipe; Carvalho, Alexandre Nolasco (2009)
      In this paper we consider a dissipative damped wave equation with non-autonomous damping of the form utt + ¯(t)ut = ¢u + f(u) (1) in a bounded smooth domain ­ ½ Rn with Dirichlet boundary conditions, where f is a ...
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      A heuristic method for simultaneous tower and pattern-free field optimization on solar power systems  [Article]

      Carrizosa Priego, Emilio José; Domínguez Bravo, Carmen Ana; Fernández Cara, Enrique; Quero García, Manuel (Elsevier, 2015-05)
      A heuristic method for optimizing a solar power tower system is proposed, in which both heliostat field (heliostat locations and number) and the tower (tower height and receiver size) are simultaneously considered. Maximizing ...
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      A Kalman rank condition for the localized distributed controllability of a class of linear parabolic systems  [Article]

      Ammar-Khodja, Farid; Benabdallah, Assia; Dupaix, Cédric; González Burgos, Manuel (Springer, 2009-06)
      We present a generalization of the Kalman rank condition to the case of non linear parabolic systems with constant coefficients and diagonalizable diffusion matrix. To reach the result, we are led to prove a global ...
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      A linear mixed finite element scheme for a nematic Ericksen-Leslie liquid crystal model  [Article]

      Guillén González, Francisco Manuel; Gutiérrez Santacreu, Juan Vicente (Centre National de la Recherche Scientifique, 2013-09)
      In this work we study a fully discrete mixed scheme, based on continuous finite elements in space and a linear semi-implicit first-order integration in time, approximating an Ericksen–Leslie nematic liquid crystal model ...
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      A local result on insensitizing controls for a semilinear heat equation with nonlinear boundary Fourier conditions  [Article]

      Bodart, Olivier; González Burgos, Manuel; Pérez García, Rosario (Society for Industrial and Applied Mathematics, 2004)
      In this paper we present a local result on the existence of insensitizing controls for a semilinear heat equation when nonlinear boundary conditions of the form ∂ny + f(y)=0 are considered. The problem leads to an analysis ...
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      A logistic equation with degenerate diffusion and Robin boundary condition  [Article]

      Suárez Fernández, Antonio (American Institute of Mathematical Sciences, 2008-09)
      In this paper we study a model for a species confined in a bounded region. This species diffuses slowly, follows a logistic law in the habitat and there is a flux of population across the boundary of the habitat. Basically, ...
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      A Lotka-Volterra symbiotic model with cross-diffusion  [Article]

      Delgado Delgado, Manuel; Da Silva Montenegro, Marcelo; Suárez Fernández, Antonio (Elsevier, 2009-03-01)
      The main goal of this paper is to study the existence and non-existence of coexistence states for a Lotka-Volterra symbiotic model with cross-diffusion. We use mainly bifurcation methods and a priori bounds to give sufficient ...
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      A mixed finite element method for Darcy’s equations with pressure dependent porosity  [Article]

      Gatica Pérez, Gabriel Nibaldo; Ruiz Baier, Ricardo; Tierra Chica, Giordano (American Mathematical Society, 2016)
      In this work we develop the a priori and a posteriori error analyses of a mixed finite element method for Darcy’s equations with porosity depending exponentially on the pressure. A simple change of variable for this unknown ...
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      A mixed formulation for the direct approximation of L2-weighted controls for the linear heat equation  [Article]

      Münch, Arnaud; Araujo de Souza, Diego (Springer, 2016-02)
      This paper deals with the numerical computation of null controls for the linear heat equation. The goal is to compute approximations of controls that drive the solution from a prescribed initial state to zero at a given ...
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      A model for two coupled turbulent fluids. Part II: numerical analysis of a spectral discretization  [Article]

      Bernardi, Christine; Chacón Rebollo, Tomás; Lewandowski, Roger; Murat, François (Society for Industrial and Applied Mathematics, 2002)
      We consider a system of equations that models the stationary flow of two immiscible turbulentfluids on adjacentsubdomains. The equations are coupled by nonlinear boundary conditions on the interface which is here a fixed ...