Juan Carlos López, Ph.D.

Short Bio

Juan López Ríos studied his Ph.D at the center for mathematical modelling (CMM) of Universidad de Chile in Santiago and was part of the research team ‘fluid mechanics’. After finishing in July/2015, he went to Bilbao – Spain for a postdoc under direction of Enrique Zuazua to collaborate in the ERC-project NUMERIWAVES. He joined into Yachay Tech faculty team in May 2017.

Summary of Interests

The mathematical modeling process of physical phenomena involves the setting of system of equations obeying the laws of physics, the mathematical proof of existence of solutions, the numerical analysis and simulations of those solutions, and the final testing in practice. My particular interests are the study of hyperbolic partial differential equations arising from conservation laws systems, and the study of wave phenomena.

Current Research projects

• Dycon – Dynamic Control ERC project leaded by E. Zuazua.
• Surf wave generator.
• Tsunami waves dissipation underwater bottoms.

Selected Publications

• G.I. Montecinos, J.C. López-Ríos, R. Lecaros, J.H. Ortega, E.F. Toro, An ADERtype scheme for a class of equations arising from the water-wave theory, Computers and Fluids, 132:76–93, 2016
• 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, 57(8), 2016
• 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 : pp. 3890-3907