Essential Guide to Maxwell's Equations (eBook, PDF)
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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 Eins...
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.
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