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Differential Equations and Applications

This research line has grown to be one of the richest areas of mathematics. Ordinary and partial differential equations are very powerful tools for modelling many diverse phenomena, in physics, mechanics, chemistry, biology, economics, etc. Moreover, the emergence of computers has made these models even more efficient and useful by predictive numerical simulations. The researchers of the ICMat involved in this area work in the well-posedness and formation of singularities of PDEs, mathematical theory and numerical computations of Euler, Navier-Stokes and related equations of fluid mechanics, as well as the study of the mathematical theory of kinetic models related to statistical physics and convective instabilities in geophysical problems.