Project UNIVALLE, Code 1082. 2015-2016. The unique continuation of the Boussinesq. The topic of this project is to study the unique continuation of the Boussinesq equation in different domains. Main researcher.
Project UNIVALLE, Code 1011. 2014-2015. Boundary controllability of system Korteweg-de Vries type. The main project is the controllability of the system of boundary differential equations. Joint research with professor Ademir Pazoto. Finished.
Project COLCIENCIAS, FP-080-2016. 2017-2019. About the controls problems associated to Korteweg-de Vries Model and the Cauchy problem for systems of Boussinesq type. The main goal of this project is studying the well-posedness of a system of differential equation and analysis the behavior of the solutions from the numerical point of view. Joint research with Professor Juan Carlos Muñoz, Universidad del Valle. In course.
Project COLCIENCIAS, Code: 1106 05 16858. 2005-2008. Existence, stability and computation of periodic waves for a generalized Benney-Luke equation. The objective of this project is to study the existence and uniqueness of solution for a Boussinesq type of system with oscillating coefficients and the stability of the Benney-Luke equation for internal waves. Secondary research. Finished.
Project MathAmSud and COLCIENCIAS, Code FP-234-2017. 2017-2018. Inverse and control problems for physical systems. The main goal of the project is mobility to generate academic interchange between Colombia, Chili and France. Mostly, we are interested in recovering some parameters of dissipative differential equations, the analysis of the controllability and stability using a different technique. I am working as a coordinator from Colombia together with Emmanuelle Crepeau as a coordinator of France and Alberto Mercado from Chile. Finished.
Ecuaciones diferenciales dispersivas y teoría de control desde 2014. Universidad del Valle. Con proyectos avalados por COLCIENCIAS.
Ecuaciones Diferenciales Parciales y Geometría-Univalle-ERM desde 2014. Universidad del Valle. Con proyectos avalados por COLCIENCIAS.
Análisis numérico, optimización y problemas inversos. (ANOPI) desde 2000. Universidad del Valle. Con proyectos avalados por COLCIENCIAS.