This article is cited in 26 papers

The role of Morrey spaces in the study of Navier–Stokes and Euler equations

P.-G. Lemarié-Rieusset

Laboratoire Analyse et Probabilités, Université d'Evry, IBGBI, Evry cedex, France

Abstract: In this survey, we will pay a few words on the solution of the Cauchy problem for the 3D Navier–Stokes or Euler equations (with a focus on real harmonic analysis methods). Then we will highlight the role of Morrey spaces in other problems for the Navier–Stokes equations : uniqueness, weak-strong uniqueness, self-similar solutions, etc.

Keywords and phrases: Morrey spaces, Euler equations, Navier–Stokes equations, Cauchy problem.

MSC: 46E30, 35Q30

Received: 20.02.2012

Language: English

Bibliographic databases:

• 
•