An Isaac Newton Institute Workshop

Spectral Theory and its Applications

Semi-classical analysis for non selfadjoint problems and applications to hydrodynamic instability

Author: Bernard Helffer (Université Paris Sud)

Abstract

Our aim is to show how semi-classical mechanics can be useful in questions appearing in hydrodynamics.We will emphasize the motivating examples and see how these problems can be solved by either harmonic approximation techniques in semi-classical analysis of the Schroedinger operator or by new semi-classical estimates for operators of principal type (mainly subelliptic estimates).

This work is in collaboration with O. Lafitte.