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Topological Optimization and Optimal Transport by Filippo Santambrogio, Thierry Champion, Guillaume Carlier, Martin Rumpf, Édouard Oudet, Maïtine Bergounioux

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B. Maury and A. Preux

13 Pressureless Euler equations with maximal density constraint: a time-splitting scheme

B. Maury, Laboratoire de Mathématiques d’Orsay, Univ. Paris-Sud, CNRS, Université Paris-Saclay, 91405 Orsay, France & DMA, École Normale Supérieure, 45 rue d’Ulm, Paris

A. Preux, Laboratoire de Mathématiques d’Orsay, Univ. Paris-Sud, CNRS, Université Paris-Saclay, 91405 Orsay, France

Abstract: In this chapter, we consider the pressureless Euler equations with a congestion constraint. This system still raises many open questions and, aside from its one-dimensional version, very little is known concerning its solutions. The strategy that we propose relies on previous works on crowd motion models with congestion in the framework of the ...

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