Mathematical Problems of Classical Nonlinear Electromagnetic Theory (Hardcover, illustrated edition)

The primary goal of this book is to give mathematicians, applied mathematicians, and engineers a survey of some problems of current interest in the realm of classical nonlinear electromagnetic theory; a secondary aim is the presentation of the wide variety of mathematical techniques which may be employed to study such problems. Among the problems treated are those which involve the propagation of electromagnetic waves in nonlinear dielectric media, the transmission of signals on distributed parameter nonlinear lines, and nonlocal problems such as the determination of the equilibrium states of nonlinearly elastic current-bearing wires placed in an ambient magnetic field. The mathematical techniques employed include several from the theory of shock waves, i.e Riemann invariants arguments, as well as semi-inverse methods, classical energy and compactness arguments, and the use of the Young measure and compensated compactness arguments to handle weak convergence problems for nonlinear systems of partial differential equations.

General

Imprint:	Crc Press
Country of origin:	United Kingdom
Series:	Monographs and Surveys in Pure and Applied Mathematics
Release date:	February 1993
First published:	1993
Authors:	Frederick Bloom
Dimensions:	234 x 156 x 22mm (L x W x T)
Format:	Hardcover
Pages:	398
Edition:	illustrated edition
ISBN-13:	978-0-582-21021-9
Categories:	Books > Science & Mathematics > Physics > Electricity, magnetism & electromagnetism Books > Science & Mathematics > Mathematics > Applied mathematics > General
LSN:	0-582-21021-6
Barcode:	9780582210219

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