演講公告
新聞標題: ( 2016-05-06 )
演講主題:About Louville's type theorems in the regularity theory of incompressible Navier-Stokes equation (Part I)
主講人:陳子軒教授 (交通大學應用數學系)
演講日期:2016 年5 月13 日(星期五) 16:30~18:30
演講地點:(交通大學 科學一館212室)
摘要內容:
Abstract:
Last time, we introduced the concept of ancient bounded mild solutions to the incompressible Navier-Stokes equation. Up to the present time, it is still a long standing open problem to decide whether or not there are any non-trivial, non-constant bounded ancient mild solutions to the Navier-Stokes equation in the setting of 3D-Euclidean space. Since the analog problem in the 2D case was fully resolved already, we will first focus on giving a detailed proof of the Louville's type theorem in the 2D Euclidean setting, which asserts that there is no non-trivial, non-constant bounded ancient mild solution to the Navier-Stokes equation in the setting of 2D Euclidean space.
