CORDIS Project
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This project investigates how the geometry of a medium affects the behavior of solutions to dispersive equations, particularly in the presence of inhomogeneities and boundaries. It aims to understand the stability of these solutions and whether pathological behaviors are rare when random initial data is applied.
Many physics models are described by waves or more generally dispersive equations (Schrdinger equations) with propagation in a non homogeneous and bounded medium.
Toy models (mostly in flat backgrounds) have been developed by mathematicians.
However, many questions remain open even on these simplified models in the presence of inhomogeneities and boundaries.
In particular, the works of mathematicians in the last decade have allowed to exhibit some pathological behaviours which appear to be quit…
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