| 书目名称 | Exterior Billiards | | 副标题 | Systems with Impacts | | 编辑 | Alexander Plakhov | | 视频video | | | 概述 | Examines properties of billiard dynamics outside bounded domains.Includes topics such as scattering, resistance, invisibility and retro-reflection?.Useful for mathematicians working in dynamical syste | | 图书封面 |  | | 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 | | 出版日期 | Book 2013 | | 关键词 | Bodies of Maximal and Minimal Resistance; Newton‘s Aerodynamic Problem; Optimal Mass Transportation; Ou | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4614-4481-7 | | isbn_softcover | 978-1-4899-9913-9 | | isbn_ebook | 978-1-4614-4481-7 | | copyright | Springer Science+Business Media New York 2013 |
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发表于 2025-3-21 19:37:03
