A system of integro-differential equations of electrodynamics and the inverse laplace transform
Source abstract
Abstract
A system of integro-differential equations of electrodynamics for the electromagnetic field in a conducting specimen is considered under certain assumptions with regard to the properties of this specimen, the environment, and the density of the external current. It is proved that the studied system of equations has a unique solution, to which the inverse Laplace transform can be applied. The application of perturbation theory to calculating the electric and magnetic fields on a small change in the electrical conductivity is considered.
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Research context
OpenAlex topics: Industrial Engineering and Technologies · Numerical methods in inverse problems · Material Properties and Failure Mechanisms
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References (6)
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