Erschienen: 04.01.2019 Abbildung von Assous / Ciarlet | Mathematical Foundations of Computational Electromagnetism | 1. Auflage | 2019 | 198 | beck-shop.de

Assous / Ciarlet / Labrunie

Mathematical Foundations of Computational Electromagnetism

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Fachbuch

Buch. Softcover

Softcover reprint of the original 1st ed. 2018. 2019

ix, 458 S. 7 s/w-Abbildungen, Bibliographien.

In englischer Sprache

Springer. ISBN 978-3-030-09997-8

Format (B x L): 15,5 x 23,5 cm

Gewicht: 712 g

Das Werk ist Teil der Reihe: Applied Mathematical Sciences; 198

Produktbeschreibung

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.

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