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

P.-G. Lemarié-Rieusset

Eurasian mathematical journal, Tome 3 (2012) no. 3, pp. 62-93.

Résumé

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.

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