Author: Bruno SalanonPublisher:
ISBN:
Category :
Languages : fr
Pages : 0
Book Description
Stabilite des solutions des equations de transport. Application a la resolution numerique du systeme de Vlasov-Poisson
Author: Bruno SalanonMathematical Foundations of Computational Electromagnetism
Author: Franck AssousPublisher: Springer
ISBN: 3319708422
Category : Mathematics
Languages : en
Pages : 460
Book Description
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.
ESAIM.
Author: Mathematical Reviews
Author: Numerical Study of the Vlasov Poisson System Over a Long Time
Author: A. GhizzoPublications Du Laboratoire D'analyse Numérique
Author: Comprehensive Dissertation Index
Author: Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 974
Book Description
Vols. for 1973- include the following subject areas: Biological sciences, Agriculture, Chemistry, Environmental sciences, Health sciences, Engineering, Mathematics and statistics, Earth sciences, Physics, Education, Psychology, Sociology, Anthropology, History, Law & political science, Business & economics, Geography & regional planning, Language & literature, Fine arts, Library & information science, Mass communications, Music, Philosophy and Religion.
Comprehensive Dissertation Index: Mathematics & Statistics. Physics A-E
Author: Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 1008
Book Description
International Aerospace Abstracts
Author: Methods of Numerical Mathematics
Author: G.I. MarchukPublisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 536
Book Description
The present volume is an adaptation of a series of lectures on numerical mathematics which the author has been giving to students of mathematics at the Novosibirsk State University during the span of several years. In dealing with problems of applied and numerical mathematics the author sought to focus his attention on those complicated problems of mathe matical physics which, in the course of their solution, can be reduced to simpler and theoretically better developed problems allowing effective algorithmic realization on modern computers. It is usually these kinds of problems that a young practicing scientist runs into after finishing his university studies. Therefore this book is pri marily intended for the benefit of those encountering truly complicated problems of mathematical physics for the first time, who may seek help regarding rational approaches to their solution. In writing this book the author has also tried to take into account the needs of scientists and engineers who already have a solid background in practical problems but who lack a systematic knowledge in areas of numerical mathematics and its more general theoretical framework.