Directional dependent Green's function and Kelvin images

DOI10.1007/s00419-012-0669-6zbMath1293.65164OpenAlexW1996526784MaRDI QIDQ396316

George Dassios

Publication date: 13 August 2014

Published in: Archive of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00419-012-0669-6

zbMATH Keywords

Green's functionellipsoidal harmonicsimagesKelvin's transformation

Mathematics Subject Classification ID

Green's functions for elliptic equations (35J08) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

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The ellipsoidal vortex: a novel approach to geophysical turbulence ⋮ Connection formulae between ellipsoidal and spherical harmonics with applications to fluid dynamics and electromagnetic scattering ⋮ Image theory for Neumann functions in the prolate spheroidal geometry ⋮ Spectral properties of the Neumann–Poincaré operator and cloaking by anomalous localized resonance for the elasto-static system ⋮ Recent Progress on Spheroidal Monogenic Functions ⋮ Helmholtz decomposition of the neuronal current for the ellipsoidal head model ⋮ Inviscid instabilities in rotating ellipsoids on eccentric Kepler orbits

Cites Work

• Image distribution and surface potential of a dipole in a one-shell conducting sphere
• Neuronal currents and EEG-MEG fields
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