Link to recording:
https://huji.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=e586d51a-0361-43c5-93a8-aff600ce7807
 
 
Title: "Geometry and dynamics of compressible fluids"

Abstract:
We describe a geometric framework to study Newton's equations on
infinite-dimensional configuration spaces of diffeomorphisms and
smooth probability densities. It turns out that several important PDEs
of hydrodynamical origin can be described in this framework in a
natural way. In particular, the so-called Madelung transform between
the Schrödinger-type equations on wave functions and Newton's
equations on densities turns out to be a Kähler map between the
corresponding phase spaces, equipped with the Fubini-Study and
Fisher-Rao information metrics.