Visiting Professor

My research interests include Partial Differential Equations, Inverse Problems, Fluid Mechanics

Currently I work as an associate professor at UIS, Bucaramanga-Colombia, for the School of Mathematics, collaborating in the training of undergraduate and master students in mathematics.

My research interests are in Partial Differential Equations and Fluid Mechanics. I have some active collaborations with colleagues from Chile, Spain and France.

PhD in Engineering Sciences (2015) University of Chile
Bachelor in Mathematics (2006) National University of Colombia

• G.I. Montecinos, J.C. López-Ríos, R. Lecaros, J.H. Ortega, E.F. Toro, An ADER-type scheme for a class of equations arising from the water-wave theory, Computers and Fluids, 2016, Vol. 132, p. 76–93. GLOBE-AMERICAS http://www.sciencedirect.com/science/article/pii/S0045793016301128
• M. A. Fontelos, R. Lecaros, J. C. López-Ríos, and J. H. Ortega, Stationary shapes for 2d water–waves and hydraulic jumps, Journal of Mathematical Physics, 2016, Vol. 57. GLOBE-AMERICAS http://scitation.aip.org/content/aip/journal/jmp/57/8/10.1063/1.4961514
• M. A. Fontelos, R. Lecaros, J. C. López-Ríos, and J. H. Ortega, Bottom detection through surface measurements on water waves, SIAM Journal on Control and Optimization, 2017, Vol. 55, No. 6 : p. 3890–3907. GLOBE-AMERICAS http://epubs.siam.org/doi/pdf/10.1137/15M1007951
• G. I. Montecinos, J. C. López-Ríos, R. Lecaros and J. H. Ortega, A numerical procedure and coupled system formulation for the adjoint approach in hyperbolic PDE-constrained optimization problems, IMA Journal of applied Mathematics, 2019, Vol. 84, No. 3: p. 483–516. GLOBE-AMERICAS https://doi.org/10.1093/imamat/hxy067
• M. A. Fontelos and J. López-Ríos, Gravity waves oscillations at semicircular and general 2-d containers: An efficient computational approach to 2-d sloshing problem, Zeitschrift für angewandte Mathematik und Physik, 2020, Vol. 71, p. 75. GLOBE-AMERICAS https://doi.org/10.1007/s00033-020-01299-4
• R. Lecaros, J. López-Ríos, J. H. Ortega and S. Zamorano, The stability for an inverse problem of bottom recovering in water-waves, Inverse Problems, 2020, Vol. 36, No. 11. GLOBE-AMERICAS https://doi.org/10.1088/13616420/abafee
• J. López-Ríos and E. Villamizar, An optimal control problem related to a 3D-chemotaxis-Navier-Stokes model, ESAIM: Control, Optimization and Calculus of Variations, 2021, Vol. 27, No. 58: p. 37. GLOBE-AMERICAS https://www.esaimcocv.org/articles/cocv/abs/2021/02/cocv200067/cocv200067.html
• J. López-Ríos, D. Rueda and E. Villamizar, A 2D Model for heat transport in a Hele-Shaw geometry, Journal of Mathematical Fluid Mechanics, 2021, Vol. 23, No. 58. GLOBE-AMERICAS https://link.springer.com/article/10.1007/s00021-021-00608-9
• M. Fontelos and J. López-Ríos, Controllability of surface gravity waves and the sloshing problem, ESAIM: Control, Optimization and Calculus of Variations, 2023, Vol. 29, No. 65. GLOBE-AMERICAS https://doi.org/10.1051/cocv/2023042
• G. Montecinos, R. Lecaros, J. López-Ríos, and E. Zuazua, Optimal control approach for moving bottom detection in one dimensional shallow waters by surface measurements, Mathematical Methods in the Applied Sciences, 2024, Vol. 47, No. 18. GLOBE-AMERICAS https://onlinelibrary.wiley.com/doi/10.1002/mma.10251

  • 04.07.2025. DeustoCCM seminar: On the controllability of the water-waves equation in bounded domains
Meet our team!