Mathematical Foundations of Computational Electromagnetism (Hardcover, 1st ed. 2018)

This book presents an in-depth treatment of various mathematical aspects of electromagnetism and Maxwell's equations: from modeling issues to well-posedness results and the coupled models of plasma physics (Vlasov-Maxwell and Vlasov-Poisson systems) and magnetohydrodynamics (MHD). These equations and boundary conditions are discussed, including a brief review of absorbing boundary conditions. The focus then moves to well-posedness results. The relevant function spaces are introduced, with an emphasis on boundary and topological conditions. General variational frameworks are defined for static and quasi-static problems, time-harmonic problems (including fixed frequency or Helmholtz-like problems and unknown frequency or eigenvalue problems), and time-dependent problems, with or without constraints. They are then applied to prove the well-posedness of Maxwell's equations and their simplified models, in the various settings described above. The book is completed with a discussion of dimensionally reduced models in prismatic and axisymmetric geometries, and a survey of existence and uniqueness results for the Vlasov-Poisson, Vlasov-Maxwell and MHD equations. The book addresses mainly researchers in applied mathematics who work on Maxwell's equations. However, it can be used for master or doctorate-level courses on mathematical electromagnetism as it requires only a bachelor-level knowledge of analysis.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Applied Mathematical Sciences, 198
Release date:	June 2018
First published:	2018
Authors:	Franck Assous • Patrick Ciarlet • Simon Labrunie
Dimensions:	235 x 155 x 34mm (L x W x T)
Format:	Hardcover
Pages:	458
Edition:	1st ed. 2018
ISBN-13:	978-3-319-70841-6
Categories:	Books > Science & Mathematics > Physics > Optics (light) Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling Books > Science & Mathematics > Physics > States of matter > Plasma physics Promotions
LSN:	3-319-70841-4
Barcode:	9783319708416

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