Euler Equations of Incompressible Ideal Fluids

Claude Bardos (1) , Edriss S. Titi (2)

1 LJLL - Laboratoire Jacques-Louis Lions
2 DMDMAE - Department of Mathematics and Department of Mechanical and Aerospace Engineering

This article is a survey concerning the state-of-the-art mathematical theory of the Euler equations of incompressible homogenous ideal fluid. Emphasis is put on the different types of emerging instability, and how they may be related to the description of turbulence.

Domaines: Analyse numérique [math.NA]

Claude Bardos, Edriss S. Titi. Euler Equations of Incompressible Ideal Fluids. 2007. ⟨hal-00139827⟩