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ERC Workshop on Optimal Transportation and Applications

Sticky Particle Dynamics with Interactions

speaker: Michael Westdickenberg (RWTH Aachen University)

abstract: We consider compressible fluid flows in Lagrangian coordinates in one space dimension. We assume that the fluid self-interacts through a force field generated by the fluid. We explain how this flow can be described by a differential inclusion on the space of transport maps, when the sticky particle dynamics is assumed. We prove a stability result for solutions of this system. Global existence then follows from a discrete particle approximation. (Joint work with W. Gangbo and G. Savaré)


timetable:
Thu 14 Oct, 11:40 - 12:30, Aula Dini
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