Semiclassical and spectral analysis of oceanic waves

DOI10.1215/00127094-1548407zbMath1244.35147arXiv1005.1146OpenAlexW1971188903MaRDI QIDQ2428711

Laure Saint-Raymond, Christophe Cheverry, Isabelle Gallagher, Thierry Paul

Publication date: 20 April 2012

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.1146

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Fourier integral operators applied to PDEs (35S30) PDEs in connection with geophysics (35Q86)

Related Items (3)

Fast averaging for long- and short-wave scaled equatorial shallow water equations with Coriolis parameter deviating from linearity ⋮ Anomalous transport ⋮ Can one hear whistler waves?

Cites Work

• On some geometry of propagation in diffractive time scales
• The dynamics of equatorial long waves: a singular limit with fast variable coefficients
• Le lemme de Morse isochore
• Coherent nonlinear waves and the Wiener algebra
• Fast singular limits of hyperbolic PDEs
• Oscillatory perturbations of the Navier-Stokes equations
• Weak convergence results for inhomogeneous rotating fluid equations
• On the Propagation of Oceanic Waves Driven by a Strong Macroscopic Flow
• A simple justification of the singular limit for equatorial shallow‐water dynamics
• Homogenization limits and Wigner transforms
• Fast Wave Averaging for the Equatorial Shallow Water Equations
• Linear theory of the circulation of a stratified ocean
• On the lnviscid Theory of Rotating Fluids
• An introduction to semiclassical and microlocal analysis
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