Connection formulae between ellipsoidal and spherical harmonics with applications to fluid dynamics and electromagnetic scattering

DOI10.1155/2015/572458zbMath1342.35246OpenAlexW2087744477WikidataQ59102511 ScholiaQ59102511MaRDI QIDQ277959

Panayiotis Vafeas, Michael Doschoris

Publication date: 2 May 2016

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/572458

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Diffraction, scattering (78A45) Lamé, Mathieu, and spheroidal wave functions (33E10)

Related Items (1)

The exact transformation from spherical harmonic to ellipsoidal harmonic coefficients for gravitational field modeling

Cites Work

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• Directional dependent Green's function and Kelvin images
• The 3D Happel model for complete isotropic Stokes flow
• Stokes flow in ellipsoidal geometry
• Low-frequency dipolar excitation of a perfect ellipsoidal conductor
• GENERAL COMPLETE SOLUTIONS OF THE EQUATIONS OF SPATIAL AND AXISYMMETRIC STOKES FLOW
• THE MULTI-LAYERED ELLIPSOID WITH A SOFT CORE IN THE PRESENCE OF A LOW-FREQUENCY ACOUSTIC WAVE

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