Mathematical Research Letters

Volume 6, Issue 3, May 1999 pp. 257-269.

Boundary layers of 2D inviscid fluids from a Hamiltonian viewpoint

Authors: E. Grenier
Author institution: Université Paris 6

Summary: In this paper we study how the modulation of Lyapounov functionnals of Hamiltonian systems leads to nontrivial norms which can be used to investigate the linear and nonlinear stability of boundary layers. We apply this method to Euler equations of incompressible and compressible ideal fluids in 2D.

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