Modelling and Computation of Shocks and Interfaces is an international doctoral network funded by the European Commission and other organisations

We aim at developing innovating mathematical methods and computational techniques with a wide range of applicability. Computational and Applied Mathematics is a driving force in the current development of multiple fields of science, from physics and engineering to biology and medicine. The innovative techniques developed will be applied to diverse concrete problems ranging from fluid dynamics and geophysical flows to materials science.

This network is focused on the training of young researchers (ESRs) in the general area of nonlinear hyperbolic and convection dominated PDEs (HCD-PDEs) with emphasis on innovative modelling and computational methods. The research program within this network will be centered in a prominent (in terms of both history and importance) field, that is placed at the very forefront of modern Computational and Applied Mathematics. In fact, HCD-PDEs, is one of the few fields of applied mathematics where

    • models originate from the need to describe physical phenomena of great importance
    • a plethora of highly influential analytical methods has been developed over the years to study these models;
    • pioneering and advanced computational methods were designed to approximate HCD-PDEs, particularly to approximate phenomena of interest such as shocks, phase transitions, propagating interfaces etc.

The network consists of some of Europe’s leading research groups on hyperbolic PDEs, including experts on Modelling, Analysis and Computation. Although the emphasis will be the subtle modelling of shocks, interfaces and other singular phenomena related to such PDEs and their robust and efficient computation, the relevant analysis issues of these PDEs will also be a main task of this network. The innovative techniques developed will be applied to diverse concrete problems ranging from fluid dynamics and geophysical flows to materials science.

In the pursuance of this goal, the research groups will be assisted by experts in these areas of application and non-academic partners, resulting in a significant enhancement of the impact of the research and training.