Artículos (Ecuaciones Diferenciales y Análisis Numérico)
Recent Submissions
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On the existence of solutions for a parabolic-ellipticchemotaxis model with flux limitation and logistic source
(Wiley, 2023-01-22)In this article, we study the existence of solutions of a parabolic-elliptic system of partial differential equations ...
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Spectral variational multi-scale method for parabolic problems: application to 1D transient advection-diffusion equations
(2023-01-13)In this work, we introduce a variational multi-scale (VMS) method for the numerical approximation of parabolic problems, ...
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Observability inequalities on measurable sets for the stokes system and applications
(SIAM, 2020-07-29)In this paper, we establish spectral inequalities on measurable sets of positiveLebesgue measure for the Stokes ...
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Long-time behavior of global weak solutions for a beris-edwards type model of nematic liquid crystals
(Springer, 2022-10-06)We consider a Beris-Edwards system modeling incompressible liquid crystal flows of nematic type. This system couples a ...
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Capturing the non-stationarity of whole-brain dynamics underlying human brain states
(Elsevier, 2021-09-08)Brain dynamics depicts an extremely complex energy landscape that changes over time, and its characterisation is a central ...
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An upwind DG scheme preserving the maximum principle for the convective Cahn-Hilliard model
(Springer, 2022-08-12)The design of numerical approximations of the Cahn-Hilliard model preserving the maximum principle is a challenging problem, ...
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Optimal control of a chemotaxis equation arising in angiogenesis
(AIMS Press, 2021-11)In this paper we consider an optimal control for an equation that models a crucial step in the tumor development, the ...
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The maximization of the p-Laplacian energy for a two-phase material
(SIAM Publications Library, 2021)We consider the optimal arrangement of two diffusion materials in a bounded openset \Omega \subset \BbbR Nin order to ...
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On the influence of the nonlinear term in the numerical approximation of Incompressible Flows by means of proper orthogonal decomposition methods
(Elsevier, 2023-02)We consider proper orthogonal decomposition (POD) methods to approximate the incompressible Navier–Stokes equations. We ...
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On the numerical approximation of a geometric control problem
(Universidad de Barcelona, 1982-09-15)The purpose of this paper is to introduce a new method for solving an optimun design problem: determining the aerodynamic ...
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On the controllability of the N-dimensional Navier–Stokes and Boussinesq systems with N − 1 scalar controls
(Elsevier, 2005-01-18)In this Note we present several controllability results for nonlinear systems of the Navier–Stokes and Boussinesq kind. We discuss the existence of particular controls with a small number of degrees of freedom.
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Null controllability of the heat equation with boundary Fourier conditions: the linear case
(Société de Mathématiques Appliquées et Industrielles, 2006-06-20)In this paper, we prove the global null controllability of the linear heat equation completed with linear Fourier boundary ...
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Analysis and optimal control of some solidification processes
(AIMS, 2014-10-04)In this paper we consider a mathematical model that describes the solidi cation of a binary alloy. We prove some existence ...
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Analysis of a chemo-repulsion model with nonlinear production: The continuous problem and unconditionally energy stable fully discrete schemes
(Cornell University, 2018-08-21)We consider the following repulsive-productive chemotaxis model: Let p∈(1,2), find u≥0, the cell density, and v≥0, the ...
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Nonlinear nonlocal reaction-diffusion problem with local reaction
(AIMS, 2022-04-04)In this paper we analyse the asymptotic behaviour of some nonlocal diffusion problems with local reaction term in general ...
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A nonlocal two phase Stefan problem
(Project euclid, 2013-11-24)We study a nonlocal version of the two-phase Stefan problem, which models a phase-transition problem between two distinct ...
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Nonlocal limits in the study of linear elliptic systems arising in periodic homogenization
(Elsevier, 2007-07-01)In the present paper, we obtain the two-scale limit system of a sequence of linear elliptic periodic problems with varying ...
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A viscous fluid in a thin domain satisfying the slip condition on a slightly rough boundary
(Elsevier, 2010-08-11)We consider a viscous fluid of small height ε on a periodic rough bottom Γε of period rε and amplitude δε, δε rε ε, ...
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A density result for the variation of a material with respect to small inclusions
(Elsevier, 2006-03-01)We consider the family of materials obtained, via homogenization, by replacing a small portion, of size ɛ, of a fixed ...
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Lyapunov functionals and practical stability for stochastic differential delay equations with general decay rate
(Bolyai Institute, University of Szeged, 2022-12-01)This paper stands for the almost sure practical stability of nonlinear stochastic differential delay equations (SDDEs) ...