An Essential Guide to Maxwell’s Equations

$160.00

Casey Erickson (Editor)

Series: Physics Research and Technology
BISAC: SCI038000

An Essential Guide to Maxwell’s Equations first reviews the Ranada field line solutions of Maxwell’s equations in a vacuum, describing a topologically non-trivial electromagnetic field, as well as their relation with the knot theory. Also, the authors present a generalization of these solutions to the non-linear electrodynamics recently published in the literature.

Next, this compilation reviews the gravitating electromagnetic field in the 1+3 formalism on a general hyperbolic space-time manifold, discussing the recent results regarding the existence of local field line solutions to the Einstein-Maxwell equations.

Lastly, the authors consider the existence of a weak solution to a class of an evolutionary Maxwell-Stokes type problem containing a p-curlcurl system in a multi-connected domain.
(Imprint: Nova)

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Table of Contents

Preface

Chapter 1. Knots and the Maxwell Equations
(Ion V. Vancea, Grupo de Fisica Teoorica e Matematica Fisica, Departamento de Fisica, Universidade Federal Rural do Rio de Janeiro, Seropedica, Rio de Janeiro, Brazil)

Chapter 2. Field Line Solutions of the Einstein-Maxwell Equations
(Ion V. Vancea, Grupo de Fisica Teorica e Matematica Fisica, Departamento de Fisica, Universidade Federal Rural do Rio de Janeiro, Seropeedica, Rio de Janeiro, Brazil)

Chapter 3. Existence of a Weak Solution in an Evolutionary Maxwell-Stokes Type Problem and the Asymptotic Behavior of the Solution
(Junichi Aramaki, Division of Science, Tokyo Denki University, Tokyo, Japan)

Chapter 4. Related Nova Publications

Chapter 5. Bibliography

Index

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