Juan Carlos López Ríos

Juan Carlos López Ríos is an Associate Professor at the School of Mathematics, Industrial University of Santander (UIS), Bucaramanga, Colombia. He specializes in Partial Differential Equations, Inverse Problems, and Fluid Mechanics, with a focus on water-wave dynamics and control theory. His work involves collaborations with international researchers from Chile, Spain, and France.

• Education:
  • PhD in Engineering Sciences (2015), University of Chile
  • Bachelor in Mathematics (2006), National University of Colombia

His research addresses mathematical modeling of fluid dynamics, including sloshing problems, chemotaxis-Navier-Stokes systems, and heat transport in Hele-Shaw geometries. Recent work explores controllability of surface gravity waves and inverse problems in shallow water equations.

Publications span journals like Inverse Problems, ESAIM: Control, Optimization and Calculus of Variations, and Journal of Mathematical Fluid Mechanics. Collaborative efforts include numerical methods for PDE-constrained optimization and surface measurement-based bottom detection in water waves.