<電子ブック>
Exterior Billiards : Systems with Impacts Outside Bounded Domains / by Alexander Plakhov
版 | 1st ed. 2013. |
---|---|
出版者 | (New York, NY : Springer New York : Imprint: Springer) |
出版年 | 2013 |
大きさ | XIV, 286 p : online resource |
著者標目 | *Plakhov, Alexander author SpringerLink (Online service) |
件 名 | LCSH:Dynamical systems LCSH:Mathematical optimization LCSH:Calculus of variations LCSH:Mathematical models FREE:Dynamical Systems FREE:Calculus of Variations and Optimization FREE:Mathematical Modeling and Industrial Mathematics |
一般注記 | A billiard is a dynamical system in which a point particle alternates between free motion and specular reflections from the boundary of a domain. Exterior Billiards presents billiards in the complement of domains and their applications in aerodynamics and geometrical optics. This book distinguishes itself from existing literature by presenting billiard dynamics outside bounded domains, including scattering, resistance, invisibility and retro-reflection. It begins with an overview of the mathematical notations used throughout the book and a brief review of the main results. Chapters 2 and 3 are focused on problems of minimal resistance and Newton’s problem in media with positive temperature. In chapters 4 and 5, scattering of billiards by nonconvex and rough domains is characterized and some related special problems of optimal mass transportation are studied. Applications in aerodynamics are addressed next and problems of invisibility and retro-reflection within the framework of geometric optics conclude the text. The book will appeal to mathematicians working in dynamical systems and calculus of variations. Specialists working in the areas of applications discussed will also find it useful HTTP:URL=https://doi.org/10.1007/978-1-4614-4481-7 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
Springer eBooks | 9781461444817 |
|
電子リソース |
|
EB00201399 |
類似資料
この資料の利用統計
このページへのアクセス回数:4回
※2017年9月4日以降