Zied Ammari

University Rennes I (France) University Rennes I (France)


On well-posedness for the Gross-Pitaevskii and Hartree Hierarchy Equations


Probability Seminar


12th January 2022, 4:00 pm – 5:00 pm
Online,


Gross-Pitaevskii and Hartree hierarchies are infinite systems of coupled PDEs related to mean field theory of Bose gases. Due to their physical and mathematical relevance, the issues of well-posedness and uniqueness for these hierarchies have recently been studied thoroughly using specific nonlinear and combinatorial techniques. In this talk I will introduce a new approach based on a duality between hierarchies and Liouville equations. Several new results are obtained as an outcome of this approach.






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