Advances in Differential Equations

Maximum recoverable work in the ionosphere

Giovambattista Amendola, Adele Manes, and Carla Vettori

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A general closed expression is derived in the frequency domain for the minimum free energy, related to a state of a linear electromagnetic conductor with memory effects in the constitutive equation of the current density, by evaluating the maximum recoverable work obtainable from the given state. The constitutive equation with memory is given by a linear relation between the current density and the electric field, expressed by a linear functional of the history of this field and a term proportional to its actual value. Another equivalent formulation is also given and used to derive explicit formulae for the particular case of a discrete spectrum model.

Article information

Adv. Differential Equations, Volume 15, Number 9/10 (2010), 977-999.

First available in Project Euclid: 18 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 78A25: Electromagnetic theory, general 74A15: Thermodynamics


Amendola, Giovambattista; Manes, Adele; Vettori, Carla. Maximum recoverable work in the ionosphere. Adv. Differential Equations 15 (2010), no. 9/10, 977--999.

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