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Exterior Billiards : Systems with Impacts Outside Bounded Domains 🔍
Alexander Plakhov (auth.) Springer-Verlag New York, 1st ed. 2013, New York, NY, 2013
英语 [en] · PDF · 3.7MB · 2013 · 📘 非小说类图书 · 🚀/lgli/lgrs/nexusstc/scihub/zlib · Save
描述
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.
备用文件名
lgrsnf/A:\compressed\10.1007%2F978-1-4614-4481-7.pdf
备用文件名
nexusstc/Exterior Billiards: Systems with Impacts Outside Bounded Domains/02dca88f0e4ec8fb55d9681740a77b93.pdf
备用文件名
scihub/10.1007/978-1-4614-4481-7.pdf
备用文件名
zlib/Science (General)/Alexander Plakhov (auth.)/Exterior Billiards: Systems with Impacts Outside Bounded Domains_2130439.pdf
备选作者
Alexander Plakhov; SpringerLink (Online service)
备选作者
by Alexander Plakhov
备选作者
Plakhov, Alexander
备用出版商
Springer New York : Imprint : Springer
备用出版商
Springer US
备用版本
United States, United States of America
备用版本
New York, NY, United States, 2012
备用版本
2013, September 2012
备用版本
New York, NY, c2012
元数据中的注释
lg976516
元数据中的注释
{"edition":"1","isbns":["1461444802","1461444810","9781461444800","9781461444817"],"last_page":296,"publisher":"Springer"}
元数据中的注释
MiU
备用描述
Front Matter....Pages i-xiii
Notation and Synopsis of Main Results....Pages 1-20
Problem of Minimum Resistance to Translational Motion of Bodies....Pages 21-54
Newton’s Problem in Media with Positive Temperature....Pages 55-104
Scattering in Billiards....Pages 105-149
Problems of Optimal Mass Transportation....Pages 151-182
Problems on Optimization of Mean Resistance....Pages 183-195
The Magnus Effect and the Dynamics of a Rough Disc....Pages 197-218
Invisible Bodies....Pages 219-242
Retroreflectors....Pages 243-277
Back Matter....Pages 279-284
备用描述
Keine Beschreibung vorhanden.
Erscheinungsdatum: 11.09.2012
开源日期
2013-08-01
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