Name: Mathematical Foundations of Computational Electromagnetism (Applied Mathematical Sciences) (en Inglés)
SKU: 51012351
Price: 146.19 USD
Availability: InStock
Author: Franck Assous; Patrick Ciarlet; Simon Labrunie
ISBN: 9783319708416

portada Mathematical Foundations of Computational Electromagnetism (Applied Mathematical Sciences) (en Inglés)

Mathematical Foundations of Computational Electromagnetism (Applied Mathematical Sciences) (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

Franck Assous; Patrick Ciarlet; Simon Labrunie

Año

2018

Idioma

Inglés

N° páginas

458

Encuadernación

Tapa Dura

ISBN13

9783319708416

N° edición

Categorías

Matemáticas aplicadas

Mathematical Foundations of Computational Electromagnetism (Applied Mathematical Sciences) (en Inglés)

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

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Reseña del libro "Mathematical Foundations of Computational Electromagnetism (Applied Mathematical Sciences) (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.