R202, Astronomy-Mathematics Building, NTU

**Speaker:**

Lorenzo Brandolese (Université Claude Bernard Lyon 1)

Sylvie Monniaux (Aix-Marseille University)

Tsuyoshi Yoneda (University of Tokyo)

**Organizers:**

Yoshikazu Giga (University of Tokyo)

Description:

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