Logo

Mathematical Sciences Research Institute

Home » Recent topics on well-posedness and stability of incompressible fluid and related topics

Summer Graduate School

Recent topics on well-posedness and stability of incompressible fluid and related topics July 22, 2019 - August 02, 2019
Parent Program: --
Location: MSRI: Simons Auditorium
Organizers LEAD Yoshikazu Giga (University of Tokyo), Maria Schonbek (University of California, Santa Cruz), Tsuyoshi Yoneda (University of Tokyo)
Lecturer(s)

Show List of Lecturers

Description
Image
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.

Suggested prerequisites:

- An elementary text book on functional analysis and real analysis in the first two years of graduate school.

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

Keywords and Mathematics Subject Classification (MSC)
Tags/Keywords
  • 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