Description: Mathematical Foundations of Computational Electromagnetism, Paperback by Assous, Franck; Ciarlet, Patrick; Labrunie, Simon, ISBN 3030099970, ISBN-13 9783030099978, Like New Used, Free shipping in the US 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. Th 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. Th 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.
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Book Title: Mathematical Foundations of Computational Electromagnetism
Number of Pages: IX, 458 Pages
Publication Name: Mathematical Foundations of Computational Electromagnetism
Language: English
Publisher: Springer International Publishing A&G
Subject: Functional Analysis, Physics / Electricity, Physics / Mathematical & Computational, Applied
Publication Year: 2019
Item Height: 0.9 in
Type: Textbook
Item Weight: 25.1 Oz
Subject Area: Mathematics, Science
Author: Patrick Ciarlet, Simon Labrunie, Franck Assous
Item Length: 9.2 in
Series: Applied Mathematical Sciences Ser.
Item Width: 6.1 in
Format: Trade Paperback
