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Learning Seminar on PDE and Applications

Introduction to the Incompressible Navier-Stokes equations. I.

Ting Zhang, Zhejiang University

Location:  Hill 425
Date & time: Monday, 17 February 2020 at 3:10PM - 4:50PM

Abstract:

In this min-course, we will talk about a few basic results concerning the Incompressible Navier-Stokes equations.

1 Leray weak solutions

2 Well-posedness in Sobolev spaces

3 Well-posedness in \(L^d\)

4 Well-posedness in Besov spaces

5 Prodi-Serrin conditions and Partial regularity results for weak solutions