九州関数方程式セミナー 平成22年度前期講演

日時 5月14日(金) 14:15--15:15
会場 福岡大学 セミナーハウス 2階 セミナー室
講師 Yi Wang 氏 (中国科学院)
題目 Hydrodynamic Limit of the Boltzmann Equation with Contact Discontinuities
概要 The hydrodynamic limit for the Boltzmann equation is studied in the case when the limit system, that is, the system of Euler equations contains contact discontinuities. When suitable initial data is chosen to avoid the initial layer, we prove that there exist a family of solutions to the Boltzmann equation globally in time for small Knudsen number. And this family of solutions converge to the local Maxwellian defined by the contact discontinuity of the Euler equations uniformly away from the discontinuity as the Knudsen number tends to zero. Moreover, the convergence rate with respect to the Knudsen number is obtained. The proof is obtained by an appropriately chosen scaling and the energy method through the micro-macro decomposition.

日時 5月14日(金) 15:30--17:00
会場 福岡大学 セミナーハウス 2階 セミナー室
講師 中村 誠 氏 (東北大・理)
題目 On the initial-boundary problem for nonlinear wave equations with local boundary dissipation
概要 The initial-boundary value problem for nonlinear wave equations is considered outside of the compact obstacle which boundary has a local dissipation effect in the neighborhood of the boundary where the geometric light is trapped. The problem is considered in three-spatial dimensions and for the quadratic nonlinearities.