I am an interdisciplinary applied mathematics researcher with a strong analytical mindset and demonstrated history of successful problem solving, collaborative research, modeling, algorithm developing and machine learning.
Education
Ph.D. Mathematics, Arizona State University
Msc. Business Analytics, Arizona State University
Msc. Mathematics, The University of Arizona
Bs. Mathematics, Universidad Pedagogica Nacional de Colombia
Cabada D, Garcia K, Guevara C, Leiva H. Controllability of time varying semilinear non-instantaneous impulsive systems with delay, and nonlocal conditions.Archives of Control Sciences. Volume 33, 2022.
Guevara C, Leiva H. Controllability of Impulsive Semilinear Evolution Equations with Memory and Delay in Hilbert Spaces. arXiv preprint arXiv:2007.05570, 2020
Carrasco A, Guevara C, Leiva H. Controllability of the impulsive semilinear beam equation with memory and delay. IMA Journal of Mathematical Control and Information 36 (1), 213-223, 2019
Guevara C, Nguyen P. Leray's self-similar solutions to the Navier--Stokes equations with profiles in Marcinkiewicz and Morrey spaces. SIAM Journal on Mathematical Analysis 50 (1), 541-556, 2018
Guevara C, Leiva H. Approximated controllability of the strongly damped impulsive semilinear wave equation with memory and delay. IFAC Journal of Systems and Control 4, 1-6. Journal of Dynamical and Control Systems 24 (1), 1-11, 2018
Guevara C, Shipman S. Short-Time Nonlinear Effects in the Exciton-Polariton System. Geometric Methods in Physics XXXV, 181-186, 2018
Guevara C, Leiva H. Controllability of the impulsive semilinear heat equation with memory and delay. Journal of Dynamical and Control Systems 24 (1), 1-11, 2018
Guevara C, Shipman S. Short-time behavior of the exciton-polariton equations. Geometric Methods in Physics XXXV, 181-186, 2018
Guevara C, Nguyen PC. Local energy bounds and ϵ-regularity criteria for the 3D Navier–Stokes system. Calculus of Variations and Partial Differential Equations 56 (3), 1-16, 2017
Guevara C.Global behavior of finite energy solutions to the d-dimensional focusing nonlinear Schrödinger equation. Applied Mathematics Research eXpress (2), 177-243, 2014
Carreon F, Guevara C.Scattering and blow up for the two-dimensional focusing quintic nonlinear Schrödinger equation. Recent advances in harmonic analysis and partial differential equations 581,117-153, 2012
Civil M, Guevara C, Allexsaht-Snider M. Mathematics for Parents: Facilitating Parents' and Children's Understanding in Mathematics. ERIC/CSMEE Publications, 1929 Kenny Road, Columbus, OH 43210-1080, 2002