A new Legendre-type polynomial and its application to geostrophic flow in rotating fluid spheres

DOI10.1098/rspa.2009.0582zbMath1375.33014OpenAlexW2119656860MaRDI QIDQ3575284

Xin-Hao Liao, Keke Zhang

Publication date: 27 July 2010

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2009.0582

zbMATH Keywords

rotating fluid spheregeostrophic flownew Legendre-type polynomial

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) General theory of rotating fluids (76U05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (7)

Enumeration, orthogonality and completeness of the incompressible Coriolis modes in a tri-axial ellipsoid ⋮ Fractional order of Legendre-type matrix polynomials ⋮ Nonlinear thermal inertial waves in rotating fluid spheres ⋮ Enumeration, orthogonality and completeness of the incompressible Coriolis modes in a sphere ⋮ Localised thermal convection in rotating spheres that undergo weak precession ⋮ Tilted incompressible Coriolis modes in spheroids ⋮ Asymptotic solutions of differential rotation driven by convection in rapidly rotating fluid spheres with the non-slip boundary condition

This page was built for publication: A new Legendre-type polynomial and its application to geostrophic flow in rotating fluid spheres