Spatial filtering of the Euler equations and vortex dynamics on the 2D filtered flow
関数方程式セミナー
開催期間
2025.7.18(金)
17:15 ~ 18:15
17:15 ~ 18:15
場所
九州大学西新プラザ 中会議室
講演者
後藤田 剛(東京科学大学)
概要
We consider weak solutions of the 2D filtered-Euler equations, which are a regularized model of the 2D Euler equations based on a spatial filtering. We introduce the results of the global well-posedness for initial vorticity in the space of finite Radon measures and the convergence to the 2D Euler equations for vortex sheet solutions in the zero limit of the filter scale. We also show that the energy is conserved for a certain class of initial vorticity and there exisit weak solutions dissipating the enstrophy in that limit.