Publications
List of Publications
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• ÉLder J. Villamizar-Roa (with E. Mallea-Zepeda, E. Ortega-Torres) An optimal control problem for the steady nonhomogeneous asymmetric fluids. Applied Mathematical and Optimization, v. 80, No. 2, (2019), 299-329.
• ÉLder J. Villamizar-Roa (with A. Duarte-Rodríguez and L.C.F. Ferreira) Global existence for an attraction-repulsion chemotaxis fluid model with logistic source. Discrete and Continuous Dynamical System-B, v.24, No.2, (2019), 423-447.
• ÉLder J. Villamizar-Roa (with G. Arenas-Díaz) Introducción a las ecuaciones difereneciales difusas. Libro, Ediciones Universidad Industrial de Santander, (2018), ISBN: 978-958-8956-47-3
• ÉLder J. Villamizar-Roa (with J.E. Pérez-López and L.C.F. Ferreira) On the product in Besov-Lorentz-Morrey spaces and existence of solutions for the stationary Boussinesq equations. Communications on Pure and Applied Analysis, v. 17, No. 6 (2018), 2423-2439.
• ÉLder J. Villamizar-Roa (with M.A. Rodríguez-Bellido, D.A. Rueda-Gómez) On a distributed control problem for a coupled chemotaxis-fluid model. Discrete and Continuous Dynamical System-B, v. 23, No. 2, (2018), 557-571.
• ÉLder J. Villamizar-Roa (with D.A. Rueda-Gómez) On the Rayleigh-Bénard-Marangoni system and a related optimal control problem. Computers and Mathematics with Applications, v. 74, No. 12, (2017), 2969-2991.
• ÉLder J. Villamizar-Roa (with L.C.F. Ferreira, C. Banquet) A Solutions in Bessel-potential spaces for wave equations with nonlinear damping. Mathematical Methods in Applied Sciences, v. 40, No. 15 (2017), 5613-5618.
• ÉLder J. Villamizar-Roa (with S. Herrón) On the non-newtonian fluids with convective effects. Electronic Journal of Differential Equations, v. 2017, No. 155, (2017), 1-28.
• ÉLder J. Villamizar-Roa (with Y. Lu, J. Xie) Global existence of weak solutions for nxn system of chromatography. Nonlinear Analysis: Real World Applications, v. 37, No.2, (2017), 309-316.
• ÉLder J. Villamizar-Roa (with E. Mallea-Zepeda, E. Ortega-Torres) A boundary control problem for micropolar fluids. Journal of Optimization Theory and Applications, v. 169, No.2, (2016), 349-369.
• ÉLder J. Villamizar-Roa (with C. Banquet) On the Schrodinger equation with isotropic and anisotropic fourth-order dispersion. Electronic Journal of Differential Equations, v. 2016, No.13, (2016), 1-20.
• ÉLder J. Villamizar-Roa (with C. Banquet and L.C.F. Ferreira) On the existence and scattering theory for the Klein-Gordon-Schrodinger system in an infinite L2-norm setting. Annali di Matematica Pura ed Applicata, v. 194, (2015), 781-804.
• ÉLder J. Villamizar-Roa (with Y. Chalco-Cano and H. Román-Flores) Interval-valued functions in a quotient space, Proceedings 2015 Annual Conference of the North Americal Fuzzy Information Processing Society (NAFIPS) (2015).
• ÉLder J. Villamizar-Roa (with Y. Chalco-Cano and V. Angulo) Existence of solutions to fuzzy differential equations with generalized Hukuhara derivative via contractive- like mapping principles, Fuzzy Sets and Systems, v. 265, (2015), 24-38.
• ÉLder J. Villamizar-Roa (with G. Planas and L.C.F. Ferreira) On the nonhomogeneous Navier-Stokes system with Navier friction boundary conditions. SIAM Journal of Mathematical Analysis, v. 45, No. 4, (2013), 2576-2595.
• ÉLder J. Villamizar-Roa (with C. Banquet and L.C.F. Ferreira) On the Schrodinger- Boussinesq system with singular initial data. Journal of Mathematical Analysis and Applications, v. 400, No. 2, (2013), 487-496.
• ÉLder J. Villamizar-Roa (with L.C.F. Ferreira) Strong solutions and inviscid limit for Boussinesq system with partial viscosity. Communications in Mathematical Sciences, v. 11, No.2, (2013), 421-439.
• ÉLder J. Villamizar-Roa (with J.E. Pérez-López) On the Davey-Stewartson system with singular initial data. Comptes Rendus Mathematique, v. 350, No.21-22, (2012), 959-964.
• ÉLder J. Villamizar-Roa (with L.C.F. Ferreira) Self-similarity and asymptotic stability for coupled nonlinear Schrodinger equations in high dimensions. Physica D- Nonlinear Phenomena, v. 241, (2012), 534-542.
• ÉLder J. Villamizar-Roa (with L.C.F. Ferreira) Fractional Navier-Stokes equations and Holder-type inequality in a sum of singular spaces. Nonlinear Analysis. Theory Methods and Applications. v. 74, (2011), 5618-5630.
• ÉLder J. Villamizar-Roa (with L.C.F. Ferreira) A semilinear heat equation with a localized nonlinear source and non-continuous initial data. Mathematical Methods in the Applied Sciences, v. 74, (2011) 1-18.
• ÉLder J. Villamizar-Roa (with E. Ortega-Torres) On a generalized Boussinesq model around a rotating obstacle: Existence of strong solutions. Discrete and Continuous Dynamical Systems-B, v. 15, (2011), 825-847.
• ÉLder J. Villamizar-Roa (with L.C.F. Ferreira) On the heat equation with concave- convex nonlinearity and initial data in weak-Lp spaces. Communications on Pure and Applied Analysis, v.10, (2011), 1715-1732.
• ÉLder J. Villamizar-Roa (with L.C.F. Ferreira) Exponentially-stable steady flow and asymptotic behavior for the magnetohydrodynamic equations. Communications Mathematical Sciences, v. 9, (2011), 499-516.
• ÉLder J. Villamizar-Roa (with E. Ortega-Torres and M.A. Rojas-Medar) Micropolar fluids with vanishing viscosity. Abstract and Applied Analysis, p.18, (2010).
• ÉLder J. Villamizar-Roa (with M.A. Rodríguez-Bellido and M.A. Rojas-Medar) Periodic solutions in unbounded domains for the Boussinesq system. Acta Mathematica Sinica-English Series, v.26, (2010), 837 - 862.
• ÉLder J. Villamizar-Roa (with W. González-Calderon) A note on the Cauchy problem of fuzzy differential equations. Academia Colombiana de Ciencias Exactas, Físicas y Naturales, v. 34, (2010), 541-552.
• ÉLder J. Villamizar-Roa (with L.C.F. Ferreira) On the stability problem for the Boussinesq equations in weak-L^p spaces. Communications on Pure and Applied Analysis v.09, (2010), 667- 684.
• ÉLder J. Villamizar-Roa (with M.A. Rojas-Medar and P.Braz e Silva) Strong solutions for the nonhomogeneous Navier-Stokes equations in unbounded domains. Mathematical Methods in the Applied Sciences, v.33, (2010), 358-372.
• ÉLder J. Villamizar-Roa (with L.C.F. Ferreira) On the existence of solutions for the Navier-Stokes system in a sum of weak-L^p spaces. Discrete and Continuous Dynamical Systems, v.27, (2009), p.171 - 183.
• ÉLder J. Villamizar-Roa (with L.C.F. Ferreira and P. Braz e Silva) On the existence of infinite energy solutions for nonlinear Schrodinger equation. Proceedings of The American Mathematical Society, v.137, (2009), 1977-1987.
• ÉLder J. Villamizar-Roa (with L.C.F. Ferreira) Existence of solutions to the convection problem in a pseudo measure-type space. Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences, v.464, (2008), 1983-1999.
• ÉLder J. Villamizar-Roa (with G. Arenas-Díaz and H. Lamos) Very weak solutions for the magnetohydrodynamic type equations. Discrete and Continuous Dynamical Systems-B, v.10, (2008), 957 -972.
• ÉLder J. Villamizar-Roa (with G. Arenas-Díaz and H. Lamos) Comportamiento en el infinito de las soluciones de una clase abstracta de ecuaciones de evolución. Academia Colombiana de Ciencias Exactas, Físicas y Naturales, v.32, (2008), 47 -59.
• ÉLder J. Villamizar-Roa (with M.A. Rodríguez-Bellido) Global existence and exponential stability for the micropolar fluid system. Zeitschrift fur Angewandte Mathematik und Physik, v.59, (2008), 790 - 809.
• ÉLder J. Villamizar-Roa (with L.C.F. Ferreira) Micropolar fluid system in a space of distributions and large time behavior. Journal of Mathematical Analysis and Applications, v.332, (2007), 1424 -1444.
• ÉLder J. Villamizar-Roa (with L.C.F. Ferreira) On the existence and stability of solutions for the micropolar fluids in exterior domains. Mathematical Methods in the Applied Sciences, v.30, (2007), 1185-1208.
• ÉLder J. Villamizar-Roa (with L.C.F. Ferreira) Self-similar solutions, Uniqueness and Long Time Asymptotic Behaviour for the Semilinear Heat Equations. Differential and Integral Equations, v.19, (2006), 1349-1370.
• ÉLder J. Villamizar-Roa (with M.A. Rodríguez-Bellido and M.A. Rojas-Medar) The Boussinesq system with mixed nonsmooth boundary data. CRAS Comptes Rendus Mathematique, v.343, (2006), 191 -196.
• ÉLder J. Villamizar-Roa (with L.C.F. Ferreira) Well-posedness and asymptotic behaviour for the convection problem in Rn. Nonlinearity, v.19, (2006), 2169-2191.
• ÉLder J. Villamizar-Roa (with M.A. Rodríguez-Bellido and M.A. Rojas-Medar) Some properties of a class of abstract stationary equations. Nonlinear Analysis-Theory Methods and Applications, v.64, (2006), 2203 -2214.
• ÉLder J. Villamizar-Roa. Continuous dependence of very weak solutions for the Navier-Stokes equations. Revista Integración, v.23, (2005), 11-16.