ERC Advanced Grant · 2022
Geometry, Control and Genericity for Partial Differential Equations
Many physics models are described by waves or more generally dispersive equations (Schrödinger 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 quite unstable. A first point in this proposal will be to expand the understanding of the influence of the geometry (inhomogeneities of the media, boundaries) on the behaviour of solutions to dispersive…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.