>> SERGIO CAUCAO    |  Assistant Professor at Universidad Católica de la Santísima Concepción (UCSC), Chile

Mathematical Models and Numerical Methods for Multiphysics Systems, Pittsburgh, USA, May 1 - 3, 2024
WONAPDE 2024, Concepción, Chile, January 15 - 19, 2024
Santiago Numérico III, Santiago, Chile, June 28 - 30, 2017
MAFELAP 2016, London, United Kingdom, June 14 - 17, 2016
XXIX Jornada de Matemática de la Zona Sur, Santa Cruz, Chile, April 21 - 23, 2016
WONAPDE 2016, Concepción, Chile, January 11 - 15, 2016
Valparaiso Numérico IV, Valparaiso, Chile, December 11 - 13, 2013

Thesis Students

I have had the privilege of supervising several outstanding young mathematicians during their PhD and Master's studies, as well as undergraduate thesis projects.

Prospective students are warmly encouraged to contact me to discuss potential research opportunities in numerical analysis, finite element methods, and the study of stationary and time-dependent partial differential equations arising in fluid mechanics and related areas.

PhD. Students

  • [1]
    SEGUNDO VILLA
    Doctorado en Matemática Aplicada, Universidad del Bío-Bío, Chile.
    Thesis: Numerical Analysis of Dual-Mixed Formulations of Nonlinear Fluid Flow Problems Posed on Nonstandard Banach Spaces.
    Co-advised with Prof. Ricardo Oyarzúa (UBB)
    Thesis Period: May 2019 - September 2021.
  • [2]
    JUAN PAULO ORTEGA
    Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática, Universidad de Concepción, Chile.
    Thesis: Mixed Finite Element Methods for Brinkman-Forchheimer and Related Single and Coupled Models in Fluid Mechanics.
    Co-advised with Prof. Gabriel N. Gatica (UdeC)
    Thesis Period: January 2021 - September 2024.
  • [3]
    LADY ANGELO
    Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática, Universidad de Concepción, Chile.
    Thesis: New Mixed Finite Elements Methods for Linear and Nonlinear Problems in Poroelasticity and Fluid Mechanics.
    Co-advised with Prof. Gabriel N. Gatica (UdeC)
    Thesis Period: January 2026 - Present.

Master's Students

  • [1]
    JOHANN ESPARZA
    Magíster en Matemática Aplicada, Universidad Católica de la Santísima Concepción, Chile.
    Thesis: Analysis of an Augmented Mixed Finite Element Method for the Convective Brinkman-Forchheimer Problem.
    Thesis Period: August 2022 - June 2023.
  • [2]
    LADY ANGELO
    Magíster en Matemática Aplicada, Universidad Católica de la Santísima Concepción, Chile.
    Thesis: Numerical Analysis of a Mixed Formulation for Stationary Magnetohydrodynamic Flows in Porous Media.
    Co-advised with Prof. Jessika Camaño (UCSC)
    Thesis Period: August 2022 - June 2023.
  • [3]
    ADRIAN SUAREZ
    Magíster en Matemática Aplicada, Universidad Católica de la Santísima Concepción, Chile.
    Thesis: Analysis of a Skew-Symmetry-Based Mixed Formulation for the Kelvin-Voigt-Brinkman-Forchheimer Equations.
    Co-advised with Prof. Gabriel N. Gatica (UdeC) and Prof. Ivan Yotov (Pitt)
    Thesis Period: August 2025 - April 2026.
  • [4]
    VALENTINA CASTRO
    Magíster en Matemática Aplicada, Universidad Católica de la Santísima Concepción, Chile.
    Thesis: Analysis of a Vorticity-Based Mixed Formulation for the Unsteady Brinkman Equations with Varying Porosity.
    Co-advised with Prof. Cristian Inzunza (ULS)
    Thesis Period: July 2026 - Present.

Undergraduate Students

  • [1]
    FELIPE SANDOVAL
    Ingeniería Civil Matemática, Universidad de Concepción, Chile.
    Thesis: A Fully-Mixed Finite Element Method for the Coupling of the Navier-Stokes and Darcy-Forchheimer Equations.
    Co-advised with Prof. Gabriel N. Gatica (UdeC)
    Thesis Period: January 2018 - December 2018.
  • [2]
    SERGIO CARRASCO
    Ingeniería Civil Matemática, Universidad de Concepción, Chile.
    Thesis: New Mixed Finite Element Methods for the Coupled Convective Brinkman-Forchheimer and Double-Diffusion Equations.
    Co-advised with Prof. Gabriel N. Gatica (UdeC)
    Thesis Period: March 2023 - August 2023.
  • [3]
    ALONSO BUSTOS
    Ingeniería Civil Matemática, Universidad de Concepción, Chile.
    Thesis: A Banach Space Mixed Formulation for the Unsteady Brinkman Problem with Spatially Varying Porosity.
    Thesis Period: August 2025 - December 2025.