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arxiv: 1612.06284 · v1 · pith:KFX5KMLLnew · submitted 2016-12-16 · 🧮 math.AP · math.OC

The Aubry set for a version of the Vlasov equation

classification 🧮 math.AP math.OC
keywords aubryequationvlasovcasecheckcirclecontinuefathi
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We check that several properties of the Aubry set, first proven for finite-dimensional Lagrangians by Mather and Fathi, continue to hold in the case of the infinitely many interacting particles of the Vlasov equation on the circle.

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