Colloquium / Seminars
Topic:About Louville's type theorems in the regularity theory of incompressible Navier-Stokes equation (Part I)
Speaker:Prof. Chi Hin Chan
(Department of Applied Mathematics, National Chiao Tung University)Date time:May 13, 2016 16:30~18:30
Venue:SA212
Abstract:
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.
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