分科会「非平衡現象の流体力学」(第25回)

日時: 平成28年12月26日(月) 16:00-17:00
場所: 京都大学 桂キャンパスCクラスタ総合研究棟III(C3棟) 3階 b3n03室(航空宇宙工学専攻会議室)
講演: Global well-posedness for Boltzmann equations with a class of large oscillating data
Prof. Renjun Duan (Department of Mathematics, The Chinise University of Hong Kong, China)
要旨: The global well-posedness of the Boltzmann equation with initial data of large
amplitude has remained a long-standing open problem. In this talk, we shall present a recent
result on the global existence and uniqueness of mild solutions to the Boltzmann equation in
the whole space or torus for a class of initial data whose amplitude can be arbitrarily large but
close to global Maxwellians in some integrable space. The large time behavior of solutions with
such large oscillating data is also obtained with the explicits rate of convergence to equilibrium
states.