Mathematical Foundations of Computational Electromagnetism is popular PDF and ePub book, written by Franck Assous in 2018-06-09, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Mathematical Foundations of Computational Electromagnetism can be Read Online from any device for your convenience.
Mathematical Foundations of Computational Electromagnetism Book PDF Summary
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.
Detail Book of Mathematical Foundations of Computational Electromagnetism PDF
- Author : Franck Assous
- Release : 09 June 2018
- Publisher : Springer
- ISBN : 9783319708423
- Genre : Mathematics
- Total Page : 460 pages
- Language : English
- PDF File Size : 12,9 Mb
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