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Summer Graduate School

Recent Topics in Well Posedness (Taipei, Taiwan) July 18, 2022 - July 29, 2022
Parent Program: --
Location: National Center for Theoretical Sciences, Taipei, Taiwan
Organizers Jungkai Chen (National Taiwan University), Yoshikazu Giga (University of Tokyo), Maria Schonbek (University of California, Santa Cruz), Tsuyoshi Yoneda (University of Tokyo)

Show List of Lecturers

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

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


For eligibility and how to apply, see the Summer Graduate Schools homepage

Due to the small number of students supported by MSRI, only one student per institution will be funded by MSRI.

Keywords and Mathematics Subject Classification (MSC)
  • Euler equations

  • Navier-Stokes equations

  • scaling invariant

  • critical space

  • norm inflation phenomena

  • Fourier splitting method

  • weak solution.

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification