Linear inviscid damping for monotone shear flows.

19 February 2015
12:00
Christian Zillinger
Abstract
While the 2D Euler equations incorporate
neither dissipation nor entropy increase and
even possess a Hamiltonian structure, they
exhibit damping close to linear shear flows.
The mechanism behind this "inviscid
damping" phenomenon is closely related to
Landau damping in plasma physics.
In this talk I give a proof of linear stability,
scattering and damping for general
monotone shear flows, both in the setting
of an infinite periodic channel and a finite
periodic channel with impermeable walls.
  • PDE CDT Lunchtime Seminar