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Fourier solution of the wave equation for a star-like-shaped vibrating membrane |
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| Authors: | Diego Caratelli Pierpaolo Natalini Paolo E. Ricci |
| Affiliation: | 1. Delft University of Technology, International Research Centre for Telecommunications and Radar, Mekelweg 4, 2628 CD Delft, The Netherlands;2. Università degli Studi di Roma Tre, Dipartimento di Matematica, Largo San Leonardo Murialdo 1, 00146 Roma, Italy;3. Università di Roma “La Sapienza”, Dipartimento di Matematica “Guido Castelnuovo”, P.le A. Moro 2, 00185 Roma, Italy |
| Abstract: | The Fourier solution of the wave equation for a circular vibrating membrane is generalized to a star-like-shaped structure. We show that the classical solution can be used in this more general case, provided that a suitable change of variables in the spherical co-ordinate system is performed. |
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