Low Froude and Rossby number three-scale singular limits of the rotating stratified Boussinesq equations

DOI10.1007/s00033-019-1208-xzbMath1431.35130OpenAlexW2981660661WikidataQ126981583 ScholiaQ126981583MaRDI QIDQ2279190

Pengcheng Mu, Qiang Chang Ju

Publication date: 12 December 2019

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-019-1208-x

zbMATH Keywords

ill-prepared dataFroude and Rossby numbersthree-scale singular limits

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) General theory of rotating fluids (76U05) Stratification effects in inviscid fluids (76B70)

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Singular limits of the Cauchy problem to the two-layer rotating shallow water equations ⋮ Toward uniform existence and convergence theorems for three-scale systems of hyperbolic PDEs with general initial data

Cites Work

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• Three-scale singular limits of evolutionary PDEs
• Compressible fluid flow and systems of conservation laws in several space variables
• Averaging over fast gravity waves for geophysical flow with unbalanced initial data
• Fast singular limits of hyperbolic PDEs
• Low Rossby limiting dynamics for stably stratified flow with finite Froude number
• Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
• Compressible and incompressible fluids
• Validity of the Quasigeostrophic Model for Large-Scale Flow in the Atmosphere and Ocean
• Averaging over fast gravity waves for geophysical flows with arbitary
• Convergence rate estimates for the low Mach and Alfvén number three-scale singular limit of compressible ideal magnetohydrodynamics
• Three-scale singular limits of the rotating stratified Boussinesq equations