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Book Synopsis
This guide 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 generalisation 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.

An Essential Guide to Maxwell's Equations

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    A Hardback by Casey Erickson

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      Publisher: Nova Science Publishers Inc
      Publication Date: 22/11/2019
      ISBN13: 9781536166804, 978-1536166804
      ISBN10: 1536166804
      Also in:
      Science & Nature Electricity, electromagnetism and magnetism

      Description

      Book Synopsis
      This guide 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 generalisation 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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