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Asymptotic behaviour of the energy for electromagnetic systems with memory

✍ Scribed by Jaime E. Muñoz Rivera; Maria Grazia Naso; Elena Vuk

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
172 KB
Volume
27
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

Some linear evolution problems arising in the theory of hereditary electromagnetism are considered here. Making use of suitable Liapunov functionals, existence of solutions as well as asymptotic behaviour, are determined for rigid conductors with electric memory. In particular, we show the polynomially decay of the solutions, when the memory kernel decays exponentially or polynomially. Copyright © 2004 John Wiley & Sons, Ltd.

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