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Existence and uniqueness of solutions for the Hartree and Gross-Pitaevskii hierarchy equations


開催時期 2019-07-05 16:30~2019-07-05 18:00

場所 九州大学 伊都キャンパス ウエスト1号館 4階 IMIコンファレンスルーム (W1-D-414)

受講対象  

講師 Zied Ammari (Universite Rennes 1)

【講演概要】
The Gross-Pitaevskii and Hartree hierarchies are infinite systems of coupled PDEs derived from the mean field theory of quantum Bose gases. Due to their physical and mathematical relevance, the issues of well-posedness and uniqueness for these equations 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 these hierarchies and certain transport equations of probability measures.  And I will explain how such point of view yields new well-posedness and uniqueness results.