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Regular Seminar
About the higher regularity of ancient bounded weak solutions to the Navier-Stokes equation (Joint with NCTS)

Speaker Professor Chi Hin Chan
Affiliation Department of Applied Mathematics, NCTU
Date 2016-04-22
Time 16:30-18:30
Venue SA212
Abstract Last week, we have just established the L^2 in time, local-W^{1,2} property of any given ancient bounded weak solution to the incompressible Navier-Stokes equation. Today, we will discuss how to obtain higher regularity property of an ancient bounded solution. In the process, we will introduce some useful space-time embedding theorems as developed by Ladyzhenskaya and Solonnikov. If time will permit, we will introduce the more refined concept of ancient bounded mild solution to Navier-Stokes equation.

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