Name: Mathematical Foundations of Computational Electromagnetism (en Inglés)
Price: 267330.00 CLP
Availability: InStock
Author: Assous, Franck ; Ciarlet, Patrick ; Labrunie, Simon
ISBN: 9783030099978

portada Mathematical Foundations of Computational Electromagnetism (en Inglés)

Formato

Libro Físico

Autor

Editorial

Idioma

Inglés

N° páginas

458

Encuadernación

Tapa Blanda

Dimensiones

23.4 x 15.6 x 2.4 cm

Peso

0.65 kg.

ISBN13

9783030099978

Categorías

Matemáticas aplicadas
Electricidad, electromagnetismo y magnetismo
Ingeniería: general

Mathematical Foundations of Computational Electromagnetism (en Inglés)

Franck Assous (Autor) · Patrick Ciarlet (Autor) · Simon Labrunie (Autor) · Springer · Tapa Blanda

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Reseña del libro "Mathematical Foundations of Computational Electromagnetism (en Inglés)"

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.