| 书目名称 | Mathematical Foundations of Computational Electromagnetism |
| 编辑 | Franck Assous,Patrick Ciarlet,Simon Labrunie |
| 视频video | |
| 概述 | Presents extensive treatment of the time-dependent equations.Includes the foundations of the analysis of the numerical schemes and computational methods.Uses only the “classical” formulation of electr |
| 丛书名称 | Applied Mathematical Sciences |
| 图书封面 |  |
| 描述 | .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 |
| 出版日期 | Book 2018 |
| 关键词 | Maxwell equations; Vlasov Maxwell model; Vlasov Maxwell equation; Vlasov Maxwell system; Magnetohydrodyn |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-70842-3 |
| isbn_softcover | 978-3-030-09997-8 |
| isbn_ebook | 978-3-319-70842-3Series ISSN 0066-5452 Series E-ISSN 2196-968X |
| issn_series | 0066-5452 |
| copyright | Springer International Publishing AG, part of Springer Nature 2018 |
发表于 2025-3-21 18:59:18
