Browsing Artículos (Ecuaciones Diferenciales y Análisis Numérico) by Title
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A BochevDohrmannGunzburger stabilization method for the primitive equations of the ocean [Article]
(Elsevier, 201304)We introduce a loworder stabilized discretization of the Primitive Equations of the Ocean, with a highly reduced computational complexity. We prove stability through a specific infsup condition, and weak convergence to ...

A comparison between random and stochastic modeling for a SIR model [Article]
(American Institute of Mathematical Sciences, 201701)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, ...

A Comparison Between Two Theories for MultiValued Semiflows and Their Asymptotic Behaviour [Article]
(2003)This paper presents a comparison between two abstract frameworks in which one can treat multivalued semiflows and their asymptotic behaviour. We compare the theory developed by Ball [5] to treat equations whose solutions ...

A comparison of three turbulence models with an application to the West Pacific Warm Pool [Article]
(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 ...

A corrector for a wave problem with periodic coefficients in a 1D bounded domain [Article]
(EDP Sciences, 2015)We consider a wave problem posed in a bounded open interval of R, where the coefficients, the initial conditions and the righthand side are highly oscillating, periodic in the space variable and almost periodic in the ...

A corrector for the Sverdrup solution for a domain with islands [Article]
(Taylor & Francis, 200403)In this paper we look at the influence of the Coriolis force on the quasigeostrophic equations on a domain with islands. We prove that asymptotically we obtain the solution of the Sverdrup equation with homogeneous Dirichlet ...

A FETI method with a mesh independent condition number for the iteration matrix [Article]
(Elsevier, 20080215)We introduce a framework for FETI methods using ideas from the decomposition via Lagrange multipliers of H1 0 (Ω) derived by RaviartThomas [22] P.A. Raviart, J.M. Thomas, Primal Hybrid Finite Element Metho and complemented ...

A free boundary tumor model with time dependent nutritional supply [Article]
(Elsevier, 202006)A nonautonomous 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 integrodifferential ...

A generalization of the Kalman rank condition for timedependent coupled linear parabolic systems [Article]
(EleMath, 200908)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 ...

A geometric inverse problem for the Boussinesq system [Article]
(American Institute of Mathematical Sciences, 200611)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, ...

A gradientlike non autonomous evolution process [Article]
(2009)In this paper we consider a dissipative damped wave equation with nonautonomous 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 ...

A heuristic method for simultaneous tower and patternfree field optimization on solar power systems [Article]
(Elsevier, 201505)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 ...

A Kalman rank condition for the localized distributed controllability of a class of linear parabolic systems [Article]
(Springer, 200906)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 ...

A linear mixed finite element scheme for a nematic EricksenLeslie liquid crystal model [Article]
(Centre National de la Recherche Scientifique, 201309)In this work we study a fully discrete mixed scheme, based on continuous finite elements in space and a linear semiimplicit firstorder integration in time, approximating an Ericksen–Leslie nematic liquid crystal model ...

A local result on insensitizing controls for a semilinear heat equation with nonlinear boundary Fourier conditions [Article]
(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 ...

A logistic equation with degenerate diffusion and Robin boundary condition [Article]
(American Institute of Mathematical Sciences, 200809)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, ...

A LotkaVolterra symbiotic model with crossdiffusion [Article]
(Elsevier, 20090301)The main goal of this paper is to study the existence and nonexistence of coexistence states for a LotkaVolterra symbiotic model with crossdiffusion. We use mainly bifurcation methods and a priori bounds to give sufficient ...

A mixed finite element method for Darcy’s equations with pressure dependent porosity [Article]
(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 ...

A mixed formulation for the direct approximation of L2weighted controls for the linear heat equation [Article]
(Springer, 201602)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 ...

A model for two coupled turbulent fluids. Part II: numerical analysis of a spectral discretization [Article]
(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 ...