Rate of convergence from the rotating Euler and shallow water equations to the rotating lake equations

DOI10.1186/s13661-016-0740-2zbMath1358.35101OpenAlexW2569276533WikidataQ59526999 ScholiaQ59526999MaRDI QIDQ501946

Jianwei Yang, Dan Bai, Peng Cheng

Publication date: 10 January 2017

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-016-0740-2

zbMATH Keywords

rate of convergenceEuler and shallow water equationslake equationszero Froude number limit

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) General theory of rotating fluids (76U05) Euler equations (35Q31)

Cites Work

• Topics in geophysical fluid dynamics: atmospheric dynamics, dynamo theory, and climate dynamics
• Data dependence in the mathematical theory of compressible inviscid fluids
• Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model
• Singular Limits and Convergence Rates of Compressible Euler and Rotating Shallow Water Equations
• On the Shallow Water Equations at Low Reynolds Number
• Global well-posedness for models of shallow water in a basin with a varying bottom
• Variational asymptotics for rotating shallow water near geostrophy: a transformational approach
• Low Froude number limit of the rotating shallow water and Euler equations
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