Welcome!
I work in the area of Applied Nonlinear Partial Differential Equations. My research interests include Stability of Shock Profiles, Nonlinear Wave Propagation, three-phase flow in porous media, Riemann problems and Numerical methods for PDEs.
- Contact:
- luisfer@impa.br
- luisfer99@gmail.com
- luis.guerrero@ice.ufjf.br
Current position
Education
- PostDoctoral position Universidade Federal de Juiz de Fora, 2018- 2019.
- Ph.D. in Math. July 2018. IMPA, Rio de Janerio, Brazil. Adviser: Dan Marchesin.
- Master of Sciences Mathematics, April 2013. Universidad del Valle, Cali - Colombia. Adviser: Juan Carlos Muñoz Grajales.
- Bachelor in Math, November 2008. Universidad del Valle, Cali - Colombia . Adviser: Juan Carlos Muñoz Grajales.
Preprint
- Structure of undercompressive shock waves in three-phase flow in porous media.
- Displacement of three-phase flow for Heavy Oil: Riemann Solutions.
- Modeling the relative permeabilities and capillary pressure for the
two-phase flow in porous media using drainage traveling waves.
- Solution construction of the Riemann problem describing three-phase foam flow in porous media
Articles
- The traveling foam wavefront in fractured porous medium (2024) with A. J. C. Vasquez and Grigori Chapiro https://doi.org/10.1016/j.jcp.2024.113437
- Analytical Investigation of the Three-Phase foam Flow in Porous Media (2024) with Grigori Chapiro and Dan Marchesin https://doi.org/10.3997/2214-4609.202437040
- Mathematical Analysis of the Foam Flow in Porous Media Accounting for Nanoparticle Presence and Adsorption Effects (2024) with Grigori Chapiro, Giulia Fritis, Tatiana Danelon and Pavel S Paz https://doi.org/10.3997/2214-4609.202437034
- On the Riemann problem for the foam displacement in porous media with linear adsorption (2024) with Grigori Chapiro, Giulia Fritis, and Pavel S Paz https://doi.org/10.1137/23M1566649
- Traveling wave solutions describing the foam flow in porous media for low surfactant concentration with Rosmery Quispe Zavala and Grigori Chapiro.
- The traveling wavefront for foam flow in two-layer porous media
- On the injectivity estimation in foam EOR
- Analytical solution for the population-balance model describing foam displacement considering surfactant dispersion
- How simplifying capillary effects can affect the traveling wave solution profiles of the foam flow in porous media
- Solução do problema de Riemann para escoamento de água-óleo na presença de solvente em meio poroso
- Analytical solution for the population-balance model describing foam displacement
- Mathematical properties of the foam flow in porous media (2021) with Grigori Chapiro and Rosmery Quispe Zavala https://rdcu.be/cc4ic
- Diffusive Riemann Solutions for 3-phase flow in Porous Media (2020) with Dan Marchesin https://proceedings.sbmac.org.br/sbmac/article/download/2705/2728
- Existence and uniqueness for a nonlocal internal wave model (2016) with Juan Carlos Muñoz Grajales. https://www.worldscientific.com/doi/pdf/10.1142/S0219530515500037