A degenerate pseudo-parabolic equation with memory-Reference-Cited by-同舟云学术

A degenerate pseudo-parabolic equation with memory

Published:2019-01-01 Issue:1 Volume:10 Page:71-77
ISSN:2038-0909
Container-title:Communications in Applied and Industrial Mathematics
language:en
Short-container-title:

Author:

Amar Micol¹,Andreucci Daniele¹,Gianni Roberto²,Timofte Claudia³

Affiliation:

1. Department of Basic and Advanced Sciences for Engineering , Sapienza - University of Roma , Via A. Scarpa 16, 00161 Roma , Italy

2. Department of Mathematics and Informatics , University of Firenze Via Santa Marta 3, 50139 Firenze , Italy

3. University of Bucharest , Faculty of Physics . P.O. Box MG-11, Bucharest , Romania

Abstract

Abstract We prove the existence and uniqueness for a degenerate pseudo-parabolic problem with memory. This kind of problem arises in the study of the homogenization of some differential systems involving the Laplace-Beltrami operator and describes the effective behaviour of the electrical conduction in some composite materials.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Industrial and Manufacturing Engineering

Link

https://www.sciendo.com/pdf/10.2478/caim-2019-0013

Reference18 articles.

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2. 2. M. Amar, D. Andreucci, P. Bisegna, and R. Gianni, Homogenization limit and asymptotic decay for electrical conduction in biological tissues in the high radiofrequency range, Communications on Pure and Applied Analysis, vol. 9, pp. 1131–1160, 2010.

3. 3. M. Amar, D. Andreucci, R. Gianni, and C. Timofte, Concentration and homogenization in electrical conduction in heterogeneous media involving the Laplace-Beltrami operator, Submitted (2018).

4. 4. M. Amar, D. Andreucci, P. Bisegna, and R. Gianni, Homogenization limit for electrical conduction in biological tissues in the radio-frequency range, Comptes Rendus Mécanique, vol. 331, pp. 503–508, 2003. Elsevier.10.1016/S1631-0721(03)00107-4

5. 5. M. Amar, D. Andreucci, P. Bisegna, and R. Gianni, Evolution and memory effects in the homogenization limit for electrical conduction in biological tissues, Mathematical Models and Methods in Applied Sciences, vol. 14, pp. 1261–1295, 2004. World Scientific.10.1142/S0218202504003623

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1. Concentration and homogenization in electrical conduction in heterogeneous media involving the Laplace–Beltrami operator;Calculus of Variations and Partial Differential Equations;2020-05-14