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Seminar
FIELD Math:Analysis
DATE February 05 (Fri), 2021
TIME 14:00-15:00
PLACE Online
SPEAKER 석진명
HOST Jeong, In-Jee
INSTITUTE 경기대학교
TITLE Uniqueness of McCann's binary star.
ABSTRACT Since a ground breaking work by Cazenave-Lions in 1982, showing uniqueness (up to symmetries) of variationally constructed solutions to Hamiltonian PDEs has played an indispensable role for verifying their orbital stability. In this talk, we discuss how to obtain the uniqueness of a family of binary star solutions to the Euler-Poisson equations, variationally constructed by McCann in 2006. Main methodology is based on perturbation arguments crucially relying on the exact asymptotic behaviors of solutions.
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