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Seminar
FIELD Math:Analysis
DATE October 29 (Thu), 2020
TIME 14:00-17:00
PLACE Online
SPEAKER Lee, Donghyun
HOST Jeong, In-Jee
INSTITUTE POSTECH
TITLE Large amplitude solution of the Boltzmann equation with specular reflection boundary condition
ABSTRACT For the Boltzmann equation with cutoff hard potentials, we construct the unique global solution converging with an exponential rate in large time to global Maxwellians not only for the specular reflection boundary condition with the bounded convex C3 domain but also for a class of large amplitude initial data where the L∞ norm with a suitable velocity weight can be arbitrarily large but the relative entropy need to be small. A key point in the proof is to introduce a delicate nonlinear iterative process of estimating the gain term basing on the triple Duhamel iteration along the linearized dynamics. This is joint work with Renjun Duan (CUHK) and Gyeonghun Ko(POSTECH).
FILE 360591603954291637_1.pdf
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