Room 515, Cosmology Building, NTU
Speaker(s):
Lorenzo Brandolese (Université Claude Bernard Lyon 1)
Sylvie Monniaux (Aix-Marseille University)
Tsuyoshi Yoneda (University of Tokyo)
Organizer(s):
Jungkai Chen (National Taiwan University)
Yoshikazu Giga (University of Tokyo)
Maria Schonbek (University of California, Santa Cruz)
Tsuyoshi Yoneda (University of Tokyo)
Description:
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.
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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