Search Results - "Gómez Rueda, A"

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    A chemorepulsion model with superlinear production: analysis of the continuous problem and two approximately positive and energy-stable schemes by Guillén-González, F., Rodríguez-Bellido, M. A., Rueda-Gómez, D. A.

    Published in Advances in computational mathematics (01-12-2021)
    “…We consider the following repulsive-productive chemotaxis model: find u ≥ 0, the cell density, and v ≥ 0, the chemical concentration, satisfying 1 ∂ t u − Δ u…”
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    Journal Article
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    Comparison of two finite element schemes for a chemo-repulsion system with quadratic production by Guillén-González, F., Rodríguez-Bellido, M.A., Rueda-Gómez, D.A.

    Published in Applied numerical mathematics (01-03-2022)
    “…In this paper we propose two fully discrete Finite Elements (FE) schemes for a repulsive chemotaxis model with a quadratic production term. The first one,…”
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    Convergence and positivity of Finite Element methods for a haptotaxis model of tumoral invasion by Niño-Celis, Viviana, Rueda-Gómez, Diego A., Villamizar-Roa, Élder J.

    “…In this paper, we consider a mathematical model for the invasion of host tissue by tumor cells in a d-dimensional bounded domain, d≤3. This model consists of a…”
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    Numerical Analysis for a Non-isothermal Incompressible Navier–Stokes–Allen–Cahn System by Rueda-Gómez, Diego A., Rueda-Fernández, Elian E., Villamizar-Roa, Élder J.

    Published in Journal of mathematical fluid mechanics (01-11-2024)
    “…In this paper we develop the numerical analysis for a non-isothermal diffuse-interface model, in dimension N = 2 , 3 , that describes the movement of a mixture…”
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    Numerical analysis of a chemotaxis model for tumor invasion by Pérez-López, Jhean E., Rueda-Gómez, Diego A., Villamizar-Roa, Élder J.

    Published in Advances in computational mathematics (01-06-2022)
    “…This paper is devoted to the study of a time-discrete scheme and its corresponding fully discretization approximating a d -dimensional chemotaxis model…”
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    On the fractional heat semigroup and product estimates in Besov spaces and applications in theoretical analysis of the fractional Keller–Segel system by Pérez-López, Jhean E., Rueda-Gómez, Diego A., Villamizar-Roa, Élder J.

    “…This paper is concerned with the fractional Keller–Segel system in temporal and spatial variables. We consider fractional dissipation for the physical…”
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    A 2D Model for Heat Transport in a Hele–Shaw Geometry by López-Ríos, J., Rueda-Gómez, Diego A., Villamizar-Roa, Élder J.

    Published in Journal of mathematical fluid mechanics (01-11-2021)
    “…This paper is devoted to the theoretical and numerical analysis of the heat transport problem through a viscous and incompressible fluid in a Hele–Shaw…”
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    On the Rayleigh–Bénard–Marangoni system and a related optimal control problem by Rueda-Gómez, D.A., Villamizar-Roa, E.J.

    “…In this paper, we study a boundary control problem associated to the stationary Rayleigh–Bénard–Marangoni (RBM) system in presence of controls for the velocity…”
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    Numerical analysis of a mathematical model describing the evolution of hypoxic glioma cells by López-Agredo, Jorge L., Rueda-Gómez, Diego A., Villamizar-Roa, Élder J.

    “…In this work, we develop the numerical analysis of a parabolic system of PDE describing the proliferation-invasion structure of hypoxic glial cells in the…”
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    On a chemotaxis-Navier-Stokes system with Lotka-Volterra competitive kinetics: Theoretical and numerical analysis by Beltrán-Larrotta, Carlos M., Rueda-Gómez, Diego A., Villamizar-Roa, Élder J.

    Published in Applied numerical mathematics (01-02-2023)
    “…This work is devoted to the theoretical and numerical analysis of a two-species chemotaxis-Navier-Stokes system with Lotka-Volterra competitive kinetics in a…”
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    Theoretical and numerical analysis of a parabolic system with chemoattraction modeling the growth of glioma cells by López-Agredo, Jorge L., Rueda-Gómez, Diego A., Villamizar-Roa, Élder J.

    Published in Applied numerical mathematics (01-04-2023)
    “…In this paper, we consider a two dimensional PDE model describing the proliferation-invasion structure of hypoxic glial cells in the brain, in which the cell…”
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    Existence of global solutions for cross-diffusion models in a fractional setting by Perez-Lopez, Jhean E., Rueda-Gomez, Diego A., Villamizar-Roa, Elder J.

    “…This article is devoted to the analysis of a fractional chemotaxis model in \(\mathbb{R}^N\) with a time fractional variation in the Caputo sense and a…”
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    An optimal control problem for a Lotka-Volterra competition model with chemo-repulsion by Hernández, Diana I., Rueda-Gómez, Diego A., Villamizar-Roa, Élder J.

    Published in Acta mathematica scientia (01-03-2024)
    “…In this paper we study a bilinear optimal control problem for a diffusive Lotka-Volterra competition model with chemo-repulsion in a bounded domain of ℝ ℕ , N…”
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