UE Congestion Phenomena and Compressibility for Granular Media

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Granular flows are at the heart of phenomena such as erosion, landslides and vulcanology. The mathematical study of these complex events is an important numerical and physical challenge. We will show how it requires a general view related to nonlinear PDEs. The objective of this course will be two-fold:

1- Show how the compressibility and the viscoplasticity of the phenomenon can play an important role
2-  Discuss congestion phenomena in granular media (maximum packing) that can be compared mathematically to floating structure phenomena in the presence of a free boundary.

The main idea of this lecture is to motivate by examples interdisciplinary collaborations needed to deal with complex situations.