Some elementary solutions of the heat equation and related equations |
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| Authors: | C. Atkinson |
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| Affiliation: | Department of Mathematics, Imperial College, London S.W.7, England |
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| Abstract: | An elementary connection is shown between certain time dependent boundary value problems for the heat equation and problems of steady state heat conduction (or diffusion) in a medium with a radially varying thermal conductivity. Solutions are given for growing ellipsoids, transient heating of wedges and transient bending of wedge shaped plates. |
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