CRM: Centro De Giorgi
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Optimal transport: theory and applications

seminar: Monge-Kantorovich stability and L2 formulation of multidimensional scalar conservation laws

speaker: Yann Brenier (CNRS, Université Paris-Saclay, Orsay)

abstract: It has been observed in the last years that one dimensional scalar conservation laws enjoy some contraction properties in Monge-Kantorovich (Wasserstein) distances. (See recent papers by Bolley-Brenier-Loeper and Carrillo-Di Francesco-Lattanzio.) We show that this is a general feature of multidimensional scalar conservation laws and introduce a related L2 formulation that completely recover Kruzhkov's entropy solutions.


timetable:
Wed 15 Nov, 17:30 - 18:25, Aula Dini
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