理学国際教育研究センター(IREC)からのお知らせ

下記の通り、理学国際教育研究センター 数学研究セミナーを開催いたします。

講師紹介

招聘教授：In-Jee Jeong（ソウル国立大学）

日程：6月6日（木）17：00 - 18:00　

場所：理学部E棟408（杉本）

講演タイトル: Incompressible Euler equations: a priori estimates and beyond

アブストラクト: The incompressible Euler equations describe the dynamics of volume-preserving and inviscid (ideal) fluids. While the inviscid assumption (that is, fluid has zero viscosity) is unrealistic, it is believed that the Euler equations could describe turbulent flows. Leonhard Euler derived these equations already in 1755, but a lot of important questions remain open. We shall discuss a priori estimates for the Euler equations, which gives an upper bound on the solution in function spaces. This guarantees in particular that if the initial fluid velocity is smooth, then there is a unique smooth solution for some time interval. On the other hand, recently there have been a lot of attempts in showing lower bounds on the solution instead, with the goal of establishing finite-time singularity formation. We will review some recent results towards this direction.

受け入れ教員:阿部健