Mathematical Research Letters
Volume 6 (1999)
Boundary layers of 2D inviscid fluids from a Hamiltonian viewpoint
Pages: 257 – 269
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.