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Mathematical Foundations of Computational Electromagnetism (Paperback, Softcover reprint of the original 1st ed. 2018)
Loot Price: R4,285
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Mathematical Foundations of Computational Electromagnetism (Paperback, Softcover reprint of the original 1st ed. 2018)
Series: Applied Mathematical Sciences, 198
Expected to ship within 10 - 15 working days
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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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