Uniqueness of the solution to the 2D Vlasov-Navier-Stokes system

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• Ayman Moussa, Sorbonne Université (Paris)
• Monday 19 November 2018, 15:00-16:00
• CMS, MR13.

If you have a question about this talk, please contact Ivan Moyano.

We prove a uniqueness result for weak solutions to the Vlasov-Navier-Stokes system in two dimensions, both in the whole space and in the periodic case, under a mild decay condition on the initial distribution function . The main result is achieved by combining methods from optimal transportation (introduced in this context by G. Loeper) with the use of Hardy’s maximal function, in order to obtain some fine Wasserstein-like estimates for the difference of two solutions of the Vlasov equation. This is joint work with D. Han-Kwan, E. Miot and I. Moyano.

This talk is part of the Partial Differential Equations seminar series.

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