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One-dimensional granular system with memory effects

Michael Westdickenberg
Institution: 
RWTH-Aachen
Location: 
A-133
Schedule: 
Tuesday, July 24, 2018 - 14:00
Abstract: 

We consider a hybrid compressible/incompressible system with memory effects, introduced recently by Lefebvre Lepot and Maury for the description of one-dimensional granular  flows. We prove a global existence result for this system without assuming additional viscous dissipation. Our approach extends the one by Cavalletti et al. for the pressureless Euler system to the constrained granular case with memory effects. We construct Lagrangian solutions based on an explicit formula using the monotone rearrangement associated to the density. We explain how the memory effects are linked to the external constraints imposed on the flow.

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