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Small vibrations of an elastic conductor in a magnetic field

โœ Scribed by Peter Wolfe

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
111 KB
Volume
21
Category
Article
ISSN
0170-4214

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โœฆ Synopsis

In this paper we study the motion of an elastic conducting wire in a magnetic field. The motion of the conductor induces a current in the wire (Faraday's law) which, in turn produces a force on the wire. We consider the linear equation obtained by linearizing the resulting equations of motion about an equilibrium solution. This is a hyperbolic partial differential equation with a non-local term. We prove existence and uniqueness of a weak solution of an initial-boundary value problem for this equation.

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