Abstract

The goal of this course is to give a modern introduction to mathematical methods applied to solve hard physical problems that arise in engineering applications— flow in porous media, transport phenomena in confined environments, subsurface flows, singularities in fluid mechanics, non-equilibrium thermodynamics.

Some of the approaches presented will be: dominant balance analysis, bifurcation, dimensional analysis, scaling analysis, singularities…

The course is complemented with a series of toolboxes/easy to use packages for routine numerical and symbolic computations (Matlab) applied to specific problems.