Attractors for two dimensional waves with homogeneous Hamiltonians of degree 0
Mathematical Physics
2018-09-26 v3 Analysis of PDEs
math.MP
Spectral Theory
Classical Physics
Abstract
The density stratification in an incompressible fluid is responsible for the propagation of internal waves. In domains with topography, these waves exhibit interesting features. In particular, numerical and lab experiments show that, in two dimensions, for generic forcing frequencies, these waves concentrate on attractors. The goal of this paper is to analyze mathematically this behavior, using tools from spectral theory and microlocal analysis. The same results apply also to inertial waves in rotating fluids.
Keywords
Cite
@article{arxiv.1801.05582,
title = {Attractors for two dimensional waves with homogeneous Hamiltonians of degree 0},
author = {Yves Colin de Verdìère and Laure Saint-Raymond and Yves Colin Deverdì},
journal= {arXiv preprint arXiv:1801.05582},
year = {2018}
}
Comments
Communications on Pure and Applied Mathematics, Wiley, In press