Well-posedness of two pseudo-parabolic problems for electrical conduction in heterogeneous media |
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| Authors: | M Amar D Andreucci R Gianni C Timofte |
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| Affiliation: | 1. Dipartimento di Scienze di Base e Applicate per l''Ingegneria, Sapienza - Università di Roma, Via A. Scarpa 16, 00161 Roma, Italy;2. Dipartimento di Matematica ed Informatica, Università di Firenze, Via Santa Marta 3, 50139 Firenze, Italy;3. University of Bucharest, Faculty of Physics, P.O. Box MG-11, Bucharest, Romania |
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| Abstract: | We prove a well-posedness result for two pseudo-parabolic problems, which can be seen as two models for the same electrical conduction phenomenon in heterogeneous media, neglecting the magnetic field. One of the problems is the concentration limit of the other one, when the thickness of the dielectric inclusions goes to zero. The concentrated problem involves a transmission condition through interfaces, which is mediated by a suitable Laplace-Beltrami type equation. |
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| Keywords: | Existence and uniqueness Laplace-Beltrami operator Interfaces Pseudo-parabolic equations |
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