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- W2034339705 abstract "When Laplace’s equation is expressed in terms of orthogonal curvilinear co-ordinates, it takes the familiar form ∂/∂λ ( h 1 / h 2 h 3 ∂V/∂λ) + ∂/∂μ ( h 2 / h 3 h 1 ∂V/∂μ) + ∂/∂ v ( h 3 / h 2 h 1 ∂V/∂ v ) = 0, (1) where (λ, μ, v ) are the co-ordinates, and d λ/ h 1 , d μ/ h 2 , dv / h 3 the elements of arc in the direction is which only λ, μ , or v respectively increase. In the application to solids of revolution and potential problems associated with them, we invariably choose v as the azimuthal angle ϕ of rotation about the axis of symmetry, and then h 3 = 1/ ρ , where ρ is distance from that axis." @default.
- W2034339705 created "2016-06-24" @default.
- W2034339705 date "1925-05-01" @default.
- W2034339705 modified "2023-09-26" @default.
- W2034339705 title "Laplace's equation and surfaces of revolution" @default.
- W2034339705 doi "https://doi.org/10.1098/rspa.1925.0060" @default.
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