過去の記録 ~10/03次回の予定今後の予定 10/04~

開催情報 火曜日 10:30~11:30 数理科学研究科棟(駒場) 056号室
担当者 儀我美一、石毛和弘、三竹大寿、米田剛
セミナーURL http://coe.math.sci.hokudai.ac.jp/sympo/pde_ra/
目的 首都圏の偏微分方程式、実解析の研究をさらに活発にするために本研究会を東大で開催いたします。


10:30-11:30   数理科学研究科棟(駒場) 056号室
三浦 達彦 氏 (東京大学)
Global existence of a strong solution to the Navier-Stokes equations in a curved thin domain (Japanese)
[ 講演概要 ]
In this talk, we consider the Navier-Stokes equations with Navier's slip boundary conditions in a three-dimensional curved thin domain around a closed surface.
We establish the global-in-time existence of a strong solution for large data when the width of the thin domain is very small.
A key idea is to decompose a three-dimensional vector field into the average part which is almost two-dimensional and the residual part to which we can apply Poincaré type inequalities.
Such decomposition enables us to derive a good estimate for the inner product of the inertia term and the viscous term, which is essential for our arguments.