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Seminar
FIELD Math:Analysis
DATE February 05 (Fri), 2021
TIME 15:00-17:00
PLACE Online
SPEAKER Hong, Younghun
HOST Jeong, In-Jee
INSTITUTE 중앙대학교
TITLE Long-time asymptotic behavior for the Vlasov-Poisson system
ABSTRACT The Vlasov-Poisson system is a kinetic equation describing a large number of classical particles interacting by the Newtonian/Coulombian force. For small data solutions, Bardos and Degond obtained a long-time decay estimate for density functions in 1985, and then S. Choi and S. Kwon proved modified scattering. Very recently, this problem has been revisited by Ionescu, Pausader, Wang and Widmayer using dispersive PDE techniques motivated by the resonance analysis, and they provided an alternative approach. In this talk, we too revisit the problem but using a different toolbox, namely Strichartz estimates for almost free transport flow. This talk is based on joint work with Jin Woo Jang (Bonn) and Maja Taskovic (Emory).
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