Mathematical and Computational Models of Flows and Waves in Geophysics

The physical laws dictating the evolution of such phenomena lead to the unifying theme of this manuscript, that is, the mathematical and computational modeling of flows and waves. Consequently, the underlying models are given in terms of Partial Differential Equations (PDEs) whose solutions are approximated using numerical methods, thus providing simulations of the aforementioned phenomena, as well as the appropriate geophysical validation and interpretation.

Prof. Moreles research interests are multidisciplinary, Mathematical Modeling, Numerical Analysis, Partial Differential Equations. Some recent publications are on Mathematical modeling and simulation of geophysical phenomena.  

He has mentored 6 Ph.D. and more that 20 master students. The degrees conferred are in Applied Mathematics, Computer Science and Engineering.

Prof. Moreles has edited several Lecture Notes in the series Notes on Modeling and Numerical Methods, edited by CIMAT – CIMNE. He has also Edited Numerical Methods Conference Proceedings. 

Gerardo Hernández-Dueñas obtained his Ph. D. in 2011 from the Department of Mathematics at The University of Michigan – Ann Arbor, where he worked in the areas of semiclassical analysis and hyperbolic conservation laws. He was a Van Vleck visiting assistant professor at the Department of Mathematics, University of Wisconsin – Madison. He is an associate professor at the Institute of Mathematics, UNAM-Juriquilla, currently under a sabbatical visit at NorthWest Research Associates in Seattle.

As the PI of 5 grants, his research interests have focused in the areas of Applied Mathematics and Atmospheric Sciences, Numerical Analysis of Hyperbolic Conservation Laws, Geophysical Fluid Dynamics, Semiclassical Analysis and Turbulence.

Prof. Hernandez-Dueñas has mentored 5 undergraduate students and is currently mentoring one Ph.D. student, one master student and two postdocs.