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Catalogue Information
Field name	Details
Dewey Class	515.39
Dewey Class	515.48
Title	Exterior Billiards ([Ebook]) : Systems with Impacts Outside Bounded Domains / by Alexander Plakhov.
Author	Plakhov, Alexander
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer
Publication	, 2013.
Physical Details	XIII, 284 pages: 108 illus., 61 illus. in color. : online resource.
ISBN	9781461444817
Summary Note	A billiard is a dynamical system in which a point particle alternates between free motion and specular reflections fromÂ the boundaryÂ of a domain.Â Exterior Billiards presents billiards in the complement ofÂ domains and their applications in aerodynamics and geometrical optics. Â 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 resistanceÂ and Newtonâs problem in media with positive temperature. In chapters 4 and 5, scattering of billiards byÂ 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 withinÂ the framework of geometric optics conclude the text. Â The book will appeal to mathematicians working in dynamical systems and calculus of variations.Â Specialists working in the areas of applications discussed will also find it useful.:
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-1-4614-4481-7
Links to Related Works	Subject References: Calculus of variations and optimal control; optimization . Differentiable dynamical systems . Dynamical systems and ergodic theory . Mathematical Modeling and Industrial Mathematics . Mathematical optimization . Mathematics . Authors: Plakhov, Alexander . Corporate Authors: SpringerLink (Online service) . Classification: 515.39 . 515.48 .

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Exterior Billiards: Systems with Impacts Outside Bounded Domains

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