Internal waves in a domain with topography

Laure Saint-Raymond
ENS de Lyon

Stratification of the density in an incompressible fluid is responsible for the propagation of internal waves. In domains with topography, these waves exhibit interesting properties. In particular, numerical and lab experiments show that in 2D these waves concentrate on attractors for some generic frequencies of the forcing (see Dauxois et al). At the mathematical level, this behavior can be analyzed with tools from spectral theory and microlocal analysis.