In this work we study the existence and uniqueness of the solution for a linear electromagnetic material characterized by the memory effects due to a rate-type equation for the electric conduction when a general dissipative boundary condition is assumed on the boundary of the solid. We show the existence of a domain of dependence and we give some limitations of the values of the material constants which assure the asymptotic stability of the solution.
Asymptotic stability for a conducting electromagnetic material with a dissipative boundary condition
AMENDOLA, GIOVAMBATTISTA
2003-01-01
Abstract
In this work we study the existence and uniqueness of the solution for a linear electromagnetic material characterized by the memory effects due to a rate-type equation for the electric conduction when a general dissipative boundary condition is assumed on the boundary of the solid. We show the existence of a domain of dependence and we give some limitations of the values of the material constants which assure the asymptotic stability of the solution.File in questo prodotto:
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