Duke Mathematical Journal
- Duke Math. J.
- Volume 161, Number 5 (2012), 845-892.
Semiclassical and spectral analysis of oceanic waves
In this work we prove that the shallow water flow, subject to strong wind forcing and linearized around an adequate stationary profile, develops for large time closed trajectories due to the propagation of Rossby waves, while Poincaré waves are shown to disperse. The methods used in this paper involve semiclassical analysis and dynamical systems for the study of Rossby waves, while some refined spectral analysis is required for the study of Poincaré waves, due to the large time scale involved which is of diffractive type.
Duke Math. J., Volume 161, Number 5 (2012), 845-892.
First available in Project Euclid: 27 March 2012
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35Q86: PDEs in connection with geophysics
Secondary: 76M45: Asymptotic methods, singular perturbations 35S30: Fourier integral operators 81Q20: Semiclassical techniques, including WKB and Maslov methods
Cheverry, Christophe; Gallagher, Isabelle; Paul, Thierry; Saint-Raymond, Laure. Semiclassical and spectral analysis of oceanic waves. Duke Math. J. 161 (2012), no. 5, 845--892. doi:10.1215/00127094-1548407. https://projecteuclid.org/euclid.dmj/1332866805