## 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
Minimum free energy for an electromagnetic conductor with memory
โ Scribed by G. Amendola; M. Fabrizio; J. M. Golden
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 267 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1027
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โฆ Synopsis
Abstract
A closed expression is determined in the frequency domain for the minimum free energy associated with a state of a linear electromagnetic conductor with memory effects, using the fact that this quantity is equal to the maximum recoverable work obtainable from the given state of the material. Another equivalent expression is also derived and applied to evaluate explicit formulae for a discrete spectrum model. In particular, for such a model we present the results corresponding to only one inverse time decay for each of the three kernels of the constitutive equations. These results clearly show the effects of various parameters on the expression for the minimum free energy. Copyright ยฉ 2008 John Wiley & Sons, Ltd.
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