Theory of an Electromagnetically Levitated Metal Sphere I: Absorbed Power

DOI10.1137/0149032zbMath0692.35093OpenAlexW1987428767MaRDI QIDQ3034202

Georg Lohöfer

Publication date: 1989

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0149032

zbMATH Keywords

Bessel functionsquasistatic Maxwell equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Technical applications of optics and electromagnetic theory (78A55) Partial differential equations of mathematical physics and other areas of application (35Q99) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

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Exact solutions of the thin beam with degrading hysteresis behavior ⋮ On decomposition formulas related to the Gaussian hypergeometric functions in three variables ⋮ Analytic continuation formulas for the hypergeometric functions in three variables of second order ⋮ Decomposition formulas for some triple hypergeometric functions ⋮ Unnamed Item ⋮ MULTIPLE EULER TYPE INTEGRAL REPRESENTATIONS FOR THE KAMP´E DE F´ERIET FUNCTIONS ⋮ Euler-type integral representations for the Kampé de Fériet functions ⋮ SOLUTION OF THE NEUMANN PROBLEM FOR ONE FOUR-DIMENSIONAL ELLIPTIC EQUATION ⋮ Self-similar solutions of some model degenerate partial differential equations of the second, third, and fourth order ⋮ Surface oscillations of electromagnetically levitated viscous metal droplets ⋮ Linear independent solutions and operational representations for hypergeometric functions of four variables ⋮ Linearly independent solutions and integral representations for certain quadruple hypergeometric function ⋮ Applications of the operator \(H(\alpha ,\beta )\) to the Humbert double hypergeometric functions ⋮ Determination of surface tension from the shape oscillations of an electromagnetically levitated droplet ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Magnetization and impedance of an inductively coupled metal sphere

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