Attractors for Two‐Dimensional Waves with Homogeneous Hamiltonians of Degree 0

Autor:	Yves Colin de Verdière, Laure Saint-Raymond
Rok vydání:	2019
Předmět:	Physics::Fluid Dynamics Forcing (recursion theory) Spectral theory Applied Mathematics General Mathematics Attractor Mathematical analysis Compressibility Microlocal analysis Internal wave Inertial wave Pseudo-differential operator Mathematics
Zdroj:	Communications on Pure and Applied Mathematics. 73:421-462
ISSN:	1097-0312 0010-3640
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::77d2fab3be368552fc61c5bfdd2f8cd6 https://doi.org/10.1002/cpa.21845 Zobrazit plný text záznamu Plný text