Mathematical Foundations of Computational Electromagnetism

Nonfiction, Science & Nature, Science, Physics, Electricity, Mathematics, Applied
Cover of the book Mathematical Foundations of Computational Electromagnetism by Franck Assous, Patrick Ciarlet, Simon Labrunie, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Franck Assous, Patrick Ciarlet, Simon Labrunie ISBN: 9783319708423
Publisher: Springer International Publishing Publication: June 9, 2018
Imprint: Springer Language: English
Author: Franck Assous, Patrick Ciarlet, Simon Labrunie
ISBN: 9783319708423
Publisher: Springer International Publishing
Publication: June 9, 2018
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Energy and the Financial System by Franck Assous, Patrick Ciarlet, Simon Labrunie
Cover of the book Simulation Based Engineering in Fluid Flow Design by Franck Assous, Patrick Ciarlet, Simon Labrunie
Cover of the book Data and Applications Security and Privacy XXXIII by Franck Assous, Patrick Ciarlet, Simon Labrunie
Cover of the book Towards Autonomous Robotic Systems by Franck Assous, Patrick Ciarlet, Simon Labrunie
Cover of the book The Sustainable Provision of Environmental Services by Franck Assous, Patrick Ciarlet, Simon Labrunie
Cover of the book Big Data Optimization: Recent Developments and Challenges by Franck Assous, Patrick Ciarlet, Simon Labrunie
Cover of the book Applications in Electronics Pervading Industry, Environment and Society by Franck Assous, Patrick Ciarlet, Simon Labrunie
Cover of the book Rhetorical Audience Studies and Reception of Rhetoric by Franck Assous, Patrick Ciarlet, Simon Labrunie
Cover of the book Convex Analysis and Monotone Operator Theory in Hilbert Spaces by Franck Assous, Patrick Ciarlet, Simon Labrunie
Cover of the book Family Business and Technological Innovation by Franck Assous, Patrick Ciarlet, Simon Labrunie
Cover of the book Clinical Companion in Nephrology by Franck Assous, Patrick Ciarlet, Simon Labrunie
Cover of the book Reclamation of Arid Lands by Franck Assous, Patrick Ciarlet, Simon Labrunie
Cover of the book Knowing Demons, Knowing Spirits in the Early Modern Period by Franck Assous, Patrick Ciarlet, Simon Labrunie
Cover of the book The Decline of the Individual by Franck Assous, Patrick Ciarlet, Simon Labrunie
Cover of the book Media Reforms and Democratization in Emerging Democracies of Sub-Saharan Africa by Franck Assous, Patrick Ciarlet, Simon Labrunie
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy