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MSRI-NCTS Joint Summer School: Recent Topics in Well Posedness
09:00 - 17:00, Weekdays, July 18 - 29, 2022
Lecture Hall 5F, Cosmology Building, NTU

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

Jungkai Chen (National Taiwan University & NCTS)
Yoshikazu Giga (University of Tokyo)
Maria Schonbek (University of California, Santa Cruz)
Tsuyoshi Yoneda (University of Tokyo)


The purpose of the workshop 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.


Fluid-flow stream function color-coded by vorticity in 3D flat torus calculated by K. Nakai (The University of Tokyo)

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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