Temas de Interés:

• Análisis armónico y análisis funcional
• Ecuaciones en derivadas parciales
• Ecuaciones no lineales de la mecánica de fluidos: ecuaciones de Navier-Stokes, MHD, ecuaciones no locales de tipo KdV y Benjamin-Ono

Recorrido:

• 2021: Puesto de docente - investigador en la Universidad de las Américas
• 2018–2020: Puesto de profesor temporal en la Universidad Técnica de Ambato, Ambato-Ecuador.
• 2017-2018: Puesto de profesor temporal en la Universidad Paris 9, Paris-Francia
• 2014–2018: Doctorado en Matemáticas Aplicadas en el laboratorio LaMME, Universidad Paris-Saclay, Evry-Francia
• 2013-2014: Master 2, Matemáticas y Aplicaciones, Universidad de Evry, Evry-Francia.
• 2007-2013: Carrera de Matemáticas, Escuela Politecnica Nacional, Quito-Ecuador

Publicaciones:

• Oscar Jarrín. Some remarks on the regularity of weak solutions for the stationary Ericksen-Leslie and MHD systems , Preprint (2022)
• Oscar Jarrín. Asymptotic behavior of a generalized Navier-Stokes-Bardina's model and applications to related models, Preprint (2022)
• Oscar Jarrín. Geremy Loachamín From anomalous to classical diffusion in a non-linear heat equation, Preprint (2022)
• Fernando Cortez, Oscar Jarrín. On the long-time asymptotics for a damped Navier-Stokes-Bardina model, Discrete & Continuous Dinamical Sytems, Series A (2022)
• Oscar Jarrín. Liouville theorems for a stationary and non-stationary coupled system of liquid crystal flows, Journal of Mathematical Fluid Mechanics (2022)
• Oscar Jarrín. On the regularity of very weak solutions for an elliptic coupled system of liquid crystal flows , Preprint (2021)
• Diego Chamorro, Fernando Cortez, Jiao He, Oscar Jarrín.  On the local regularity theory for the MHD equations,  Documentha Mathematika  (2021)
• Fernando Cortez, Oscar Jarrín. Spatial behavior of solutions for a large class of non-local PDE's arising from stratified flows, Differential and Integral Equations (2021)
• Pedro Fernández, Oscar Jarrín.  Weak-strong uniqueness in weighted L2 spaces and weak suitable solutions in local Morrey spaces for the MHD equations. Journal of Differential Equations  (2020)
• Pedro Fernández, Oscar Jarrín. Existence of infinite-energy and discretely self-similar global weak solutions for the 3D MHD equations, Journal of Mathematical Fluid Mechanics (2020)
• Diego Chamorro, Pierre-Gilles Lemarié-Rieusset, Oscar Jarrín. On the Kolmogorov dissipation law in a damped Navier-Stokes equation. Journal of  Dynamics and Differential Equations. (2020) 
• Diego Chamorro, Pierre-Gilles Lemarié-Rieusset, Oscar Jarrín. Some Liouville theorems for stationary Navier-Stokes equations in Lebesgue and Morrey spaces. Annales de l'Institut Henri Poincaré (2020)
• Oscar Jarrín. A note on the uniqueness of the trivial solutions of the 3D steady-state Navier-Stokes equations, Preprint (2020)
• Oscar Jarrín. A remark on the Liouville problem for stationary Navier-Stokes equations in Lorentz and Morrey spaces. Journal of Mathematical Analysis and Applications (2019)
• Fernando Cortez, Oscar Jarrín. On decay properties and asymptotic behavior of solutions to a non-local perturbed KdV equation, Nonlinear Analysis (2019)
• Diego Chamorro, Pierre-Gilles Lemarié-Rieusset, Oscar Jarrín. Frequency decay for Navier-Stokes stationary solutions, C. R. Acad. Sci. Paris (2019)
• Diego Chamorro, Oscar Jarrín. Fractional Laplacians and Nilpotent Lie groups, C. R. Acad. Sci. Paris  (2015)