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MSRI-NCTS Joint Summer School: Recent Topics on Well-posedness and Stability of Incompressible Fluid and Related Topics
9:00 - 17:00, Weekdays, July 19 - 30, 2021
R202, Astronomy-Mathematics Building, NTU

Lorenzo Brandolese (Université Claude Bernard Lyon 1)
Sylvie Monniaux (Aix-Marseille University)
Tsuyoshi Yoneda (University of Tokyo)

Yoshikazu Giga (University of Tokyo)


The purpose of this school is to introduce graduate students to fundamental results on the Navier-Stokes and the Euler equations, with special emphasis on the solvability of its initial value problem with rough initial data as well as the large time behavior of a solution. These topics have long research history. However, recent studies clarify the problems from a broad point of view, not only from analysis but also from detailed studies of orbit of the flow.


General prerequisites:

H. Brezis, 
Functional analysis, Sobolev spaces and partial differential equations. 
Springer, New York, 2011. 
ISBN: 978-0-387-70913-0
L. C. Evans, 
Partial differential equations. Second edition. 
Graduate Studies in Mathematics, 19. American Mathematical Society, Providence, RI, 2010. 
ISBN: 978-0-8218-4974-3

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