数値解析・応用解析セミナー 7月30日(木) 15:00 -- 16:00 Kung Chien Wu(呉 恭倹) (国立高雄師範大学, 中華民国) ``Wave Structures of the Linearized Boltzmann Equation in a torus'' <研究発表要旨> We study the pointwise behavior of the linearized Boltzmann equation in a torus for non-smooth initial perturbations. The result reveals both the fluid and kinetic aspects of this model. The fluid-like waves are constructed as part of the long-wave expansion in the spectrum of the Fourier modes for the space variable, and the time decay rate of the fluid-like waves depends on the size of the domain. We design a Picard-type iteration for constructing the increasingly regular kinetic-like waves, which are carried by the transport equations and have exponential time decay rate. The Mixture Lemma plays an important role in constructing the remainder part, which is the key point in this paper. セミナー室: 京都大学 総合研究2号館 2階203号室 (応用解析学講座セミナー室) ●総合研究2号館は耐震改修された旧工学部2号館で、キャンパスマップでは 「京都大学本部構内 54番建物」です。 ------------------------------------------------------------- セミナー連絡先: 京都大学大学院 情報学研究科 複雑系科学専攻 磯 祐介 e-mail; iso@i.kyoto-u.ac.jp