Téléchargez le livre : Mathematical Foundations of Computational Electromagnetism

Mathematical Foundations of Computational Electromagnetism

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Éditeur :

Springer


Collection :

Applied Mathematical Sciences

Paru le : 2018-06-09

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Description

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.
Pages
458 pages
Collection
Applied Mathematical Sciences
Parution
2018-06-09
Marque
Springer
EAN papier
9783319708416
EAN PDF
9783319708423
Informations sur l'ebook
Nombre pages copiables
4
Nombre pages imprimables
45
Taille du fichier
5857 Ko
Prix
137,14 €

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