Fast averaging for long- and short-wave scaled equatorial shallow water equations with Coriolis parameter deviating from linearity

DOI10.1007/s00205-014-0808-zzbMath1316.35239OpenAlexW2107067236MaRDI QIDQ2260644

Alexandre Dutrifoy

Publication date: 11 March 2015

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-014-0808-z

zbMATH Keywords

shallow water equationsCoriolis parameter

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) General theory of rotating fluids (76U05)

Related Items (4)

Singular limits of the Cauchy problem to the two-layer rotating shallow water equations ⋮ Fast rotation limit for the 2-D non-homogeneous incompressible Euler equations ⋮ Asymptotics for singular limits via phase functions ⋮ Asymptotics of fast rotating density-dependent incompressible fluids in two space dimensions

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