PublicadoArtículo (paper)
Solvability of the Nonlinear Plate Equations in Besov Spaces
Carlos Banquet; Jhean E Pérez-López; Élder J Villamizar-Roa · Asymptotic Analysis · 2026
PublicadoArtículo (paper)
An optimal control problem of a 2D-attraction-repulsion chemotaxis system
Julio Huayta-Centeno; Exequiel Mallea-Zepeda; Élder J. Villamizar-Roa · Optimization Letters · 2025
PublicadoArtículo (paper)
On a Cross-Diffusion Model in Ecohydrology: Theory and Numerics
Iván Moreno-Villamil; Diego A. Rueda-Gómez; Élder J. Villamizar-Roa · Acta Applicandae Mathematicae · 2025
PublicadoArtículo (paper)
On the solvability of a space-time fractional nonlinear Schrödinger system
Carlos Banquet; Edilberto González; Élder J. Villamizar-Roa · Partial Differential Equations in Applied Mathematics · 2024
PublicadoArtículo (paper)
Intrinsic growth rate and evolution of the Premnotrypes Vorax population using fuzzy information
Élder J. Villamizar-Roa; Leidy V. Espitia-Cruz; Gilberto Arenas-Díaz · BioSystems · 2024
PublicadoArtículo (paper)
Comparison of two approaches for solving a fuzzy system describing the degradation kinetics of pesticides in plant uptake models
Leidy V. Espitia-Cruz; Élder J. Villamizar-Roa · Mathematical Modelling of Natural Phenomena · 2024
PublicadoArtículo (paper)
Stationary Solutions to a Chemo-repulsion System and a Related Optimal Bilinear Control Problem
Sebastián Lorca; Exequiel Mallea-Zepeda; Élder J. Villamizar-Roa · Bulletin of the Brazilian Mathematical Society, New Series · 2023
PublicadoArtículo (paper)
Theoretical and numerical analysis of a parabolic system with chemoattraction modeling the growth of glioma cells
Jorge L. López-Agredo; Diego A. Rueda-Gómez; Élder J. Villamizar-Roa · Applied Numerical Mathematics · 2023
PublicadoArtículo (paper)
Numerical analysis of a mathematical model describing the evolution of hypoxic glioma cells
Jorge L. López-Agredo; Diego A. Rueda-Gómez; Élder J. Villamizar-Roa · Computers & Mathematics with Applications · 2023
PublicadoArtículo (paper)
On a chemotaxis-Navier-Stokes system with Lotka-Volterra competitive kinetics: Theoretical and numerical analysis
Carlos M. Beltrán-Larrotta; Diego A. Rueda-Gómez; Élder J. Villamizar-Roa · Applied Numerical Mathematics · 2023
PublicadoArtículo (paper)
An Optimal Control Problem for the Navier-Stokes-α System
Exequiel Mallea-Zepeda; Elva Ortega-Torres; Élder J. Villamizar-Roa · Journal of Dynamical and Control Systems · 2023
PublicadoArtículo (paper)
On the existence theory for nonlinear plate equations
Carlos Banquet; Gilmar Garbugio; Élder J. Villamizar-Roa · Zeitschrift für angewandte Mathematik und Physik · 2022
PublicadoArtículo (paper)
A 2D Model for Heat Transport in a Hele–Shaw Geometry
J. López-Ríos; Diego A. Rueda-Gómez; Élder J. Villamizar-Roa · Journal of Mathematical Fluid Mechanics · 2021
PublicadoArtículo (paper)
Time-decay and Strichartz estimates for the BBM equation on modulation spaces: Existence of local and global solutions
Carlos Banquet; Élder J. Villamizar-Roa · Journal of Mathematical Analysis and Applications · 2021
PublicadoArtículo (paper)
An optimal control problem related to a 3D-chemotaxis-Navier-Stokes model
J. López-Ríos; Élder J. Villamizar-Roa · ESAIM: Control, Optimisation and Calculus of Variations · 2021
PublicadoArtículo (paper)
Numerical analysis for a chemotaxis-Navier–Stokes system
Abelardo Duarte-Rodríguez; María Ángeles Rodríguez-Bellido; Diego A. Rueda-Gómez; Élder J. Villamizar-Roa · ESAIM: Mathematical Modelling and Numerical Analysis · 2021
PublicadoArtículo (paper)
Convergence rates of approximations of incompressible flows through granular porous media
Roberto C. Cabrales; Marko A. Rojas-Medar; Élder J. Villamizar-Roa · GEM - International Journal on Geomathematics · 2020
PublicadoArtículo (paper)
Global Existence for an Attraction–Repulsion Chemotaxis-Fluid System in a Framework of Besov–Morrey type
Abelardo Duarte-Rodríguez; Lucas C. F. Ferreira; Élder J. Villamizar-Roa · Journal of Mathematical Fluid Mechanics · 2020
PublicadoArtículo (paper)
On the Rayleigh–Bénard–Marangoni system and a related optimal control problem
D.A. Rueda-Gómez; E.J. Villamizar-Roa · Computers & Mathematics with Applications · 2017
PublicadoArtículo (paper)
Global existence of weak solutions for n×n system of chromatography
Y. Lu; J. Xie; Élder J. Villamizar-Roa · Nonlinear Analysis: Real World Applications · 2017 · Vol. 37, No. 2, pp. 309–316
PublicadoArtículo (paper)
Solutions in Bessel‐potential spaces for wave equations with nonlinear damping
Carlos Banquet; Lucas C. F. Ferreira; Élder J. Villamizar‐Roa · Mathematical Methods in the Applied Sciences · 2017
PublicadoArtículo (paper)
On non-newtonian fluids with convective effects
Herrón, S.; Villamizar-Roa, É.J. · Electronic Journal of Differential Equations · 2017
PublicadoArtículo (paper)
A Boundary Control Problem for Micropolar Fluids
Mallea-Zepeda, E.; Ortega-Torres, E.; Villamizar-Roa, É.J. · Journal of Optimization Theory and Applications · 2016
PublicadoArtículo (paper)
On the schrödinger equations with isotropic and anisotropic fourth-order dispersion
Villamizar-Roa, E.J.; Banquet, C. · Electronic Journal of Differential Equations · 2016
PublicadoArtículo (paper)
Existence of solutions to fuzzy differential equations with generalized Hukuhara derivative via contractive-like mapping principles
Villamizar-Roa, E.J.; Angulo-Castillo, V.; Chalco-Cano, Y. · Fuzzy Sets and Systems · 2015
PublicadoArtículo (paper)
On existence and scattering theory for the Klein-Gordon-Schrödinger system in an infinite $L^{2}$L2-norm setting
Banquet, C.; Ferreira, L.C.F.; Villamizar-Roa, E.J. · Annali di Matematica Pura ed Applicata · 2014
PublicadoArtículo (paper)
On the Schrödinger-Boussinesq system with singular initial data
Banquet, C.; Ferreira, L.C.F.; Villamizar-Roa, E.J. · Journal of Mathematical Analysis and Applications · 2013
PublicadoArtículo (paper)
On the nonhomogeneous navier-stokes system with navier friction boundary conditions
Ferreira, L.C.F.; Planas, G.; Villamizar-Roa, E.J. · SIAM Journal on Mathematical Analysis · 2013
PublicadoArtículo (paper)
Strong solutions and inviscid limit for boussinesq: System with partial viscosity
Ferreira, L.C.F.; Villamizar-Roa, E.J. · Communications in Mathematical Sciences · 2013
PublicadoArtículo (paper)
On the Davey-Stewartson system with singular initial data
Villamizar-Roa, E.J.; Pérez-López, J.E. · Comptes Rendus Mathematique · 2012
PublicadoArtículo (paper)
Self-similarity and asymptotic stability for coupled nonlinear Schrödinger equations in high dimensions
Ferreira, L.C.F.; Villamizar-Roa, E.J. · Physica D: Nonlinear Phenomena · 2012
PublicadoArtículo (paper)
A semilinear heat equation with a localized nonlinear source and non-continuous initial data
Ferreira, L.C.F.; Villamizar-Roa, E.J. · Mathematical Methods in the Applied Sciences · 2011
PublicadoArtículo (paper)
Exponentially-stable steady flow and asymptotic behavior for the magnetohydrodynamic equations
Ferreira, L.C.F.; Villamizar-Roa, E.J. · Communications in Mathematical Sciences · 2011
PublicadoArtículo (paper)
Fractional Navier-Stokes equations and a Holder-type inequality in a sum of singular spaces
Ferreira, L.C.F.; Villamizar-Roa, E.J. · Nonlinear Analysis, Theory, Methods and Applications · 2011
PublicadoArtículo (paper)
On a generalized boussinesq model around a rotating obstacle: Existence of strong solutions
Villamizar-Roa, E.J.; Ortega-Torres, E.E. · Discrete and Continuous Dynamical Systems - Series B · 2011
PublicadoArtículo (paper)
On the heat equation with concave-convex nonlinearity and initial data in weak-lp spaces
Ferreira, L.C.F.; Villamizar-Roa, E.J. · Communications on Pure and Applied Analysis · 2011
PublicadoArtículo (paper)
Micropolar fluids with vanishing viscosity
Ortega-Torres, E.; Villamizar-Roa, E.J.; Rojas-Medar, M.A. · Abstract and Applied Analysis · 2010
PublicadoArtículo (paper)
On the existence of solutions for the navier-stokes system in a sum of weak-Lp spaces
Ferreira, L.C.F.; Villamizar-Roa, E.J. · Discrete and Continuous Dynamical Systems · 2010
PublicadoArtículo (paper)
On the stability problem for the Boussinesq equations in weak-Lp spaces
Ferreira, L.C.F.; Villamizar-Roa, E.J. · Communications on Pure and Applied Analysis · 2010
PublicadoArtículo (paper)
Periodic solutions in unbounded domains for the Boussinesq system
Villamizar-Roa, E.J.; Rodríguez-Bellido, M.A.; Rojas-Medar, M.A. · Acta Mathematica Sinica, English Series · 2010
PublicadoArtículo (paper)
Strong solutions for the nonhomogeneous Navier-Stokes equations in unbounded domains
P. Braz e Silva; M. A. Rojas-Medar; Élder J. Villamizar-Roa · Mathematical Methods in the Applied Sciences · 2010 · Vol. 33, No. 3, pp. 358–372
PublicadoArtículo (paper)
On the existence of infinite energy solutions for nonlinear schrödinger equations
Braz E Silva, P.; Ferreira, L.C.F.; Villamizar-Roa, E.J. · Proceedings of the American Mathematical Society · 2009
PublicadoArtículo (paper)
Existence of solutions to the convection problem in a pseudomeasure-type space
Ferreira, L.C.F.; Villamizar Roa, E.J. · Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences · 2008
PublicadoArtículo (paper)
Global existence and exponential stability for the micropolar fluid system
Villamizar-Roa, E.J.; Rodríguez-Bellido, M.A. · Zeitschrift fur Angewandte Mathematik und Physik · 2008
PublicadoArtículo (paper)
Very weak solutions for the magnetohydrodynamic type equations
Villamizar-Roa, E.J.; Lamos-Díaz, H.; Arenas-Díaz, G. · Discrete and Continuous Dynamical Systems - Series B · 2008
PublicadoArtículo (paper)
Micropolar fluid system in a space of distributions and large time behavior
Ferreira, L.C.F.; Villamizar-Roa, E.J. · Journal of Mathematical Analysis and Applications · 2007
PublicadoArtículo (paper)
On the existence and stability of solutions for the micropolar fluids in exterior domains
Ferreira, L.C.F.; Villamizar-Roa, E.J. · Mathematical Methods in the Applied Sciences · 2007
PublicadoArtículo (paper)
Some properties of a class of abstract stationary equations
Villamizar-Roa, E.J.; Rodríguez-Bellido, M.A.; Rojas-Medar, M.A. · Nonlinear Analysis, Theory, Methods and Applications · 2006
PublicadoArtículo (paper)
The Boussinesq system with mixed nonsmooth boundary data
Villamizar-Roa, E.J.; Rodríguez-Bellido, M.A.; Rojas-Medar, M.A. · Comptes Rendus Mathematique · 2006
PublicadoArtículo (paper)
Well-posedness and asymptotic behaviour for the convection problem in ℝn
L. C. F. Ferreira; Élder J. Villamizar-Roa · Nonlinearity · 2006 · Vol. 19, No. 9, pp. 2169–2191