Appears in collection : 2026 - T2 - WS2 - Instabilities and transitions in geophysical flows

This talk addresses recent developments on fluid models with a maximal density constraint. Such constraints arise in the modeling of congestion effects, with applications to geophysical flows such as dense granular avalanches and sea ice dynamics.

I will focus on the main theoretical and numerical difficulties induced by this framework, including strong nonlinear effects, transitions between compressible and incompressible regimes, and the resulting challenges for stable and accurate simulations.