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Seminar
FIELD Math:Analysis
DATE December 26 (Thu), 2019
TIME 10:00-11:00
PLACE 1503
SPEAKER 홍영훈
HOST Jung, Joeun
INSTITUTE 중앙대학교
TITLE Quantum-classical correspondence between the Hartree and the Vlasov equations
ABSTRACT Both the Hartree and the Vlasov equations describe mean-field dynamics of collision-less interacting particles, but the former is for quantum particles and the latter is for classical particles. In this talk, we compare the two models in the semi-classical regime in various aspects, including (1) vari- ational problems (for free energy minimizers), (2) linear evolutions (in the form of Strichartz estimates for orthogonal functions and those for transport equations), and (3) nonlinear evolutions (for moment propagation). This is a survey talk.
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