Exterior Billiards: Systems with Impacts Outside Bounded Domains - Softcover

Plakhov, Alexander

 
9781489999139: Exterior Billiards: Systems with Impacts Outside Bounded Domains
Softcover
ISBN 10: 1489999132 ISBN 13: 9781489999139
Verlag: Springer, 2014

Inhaltsangabe

Surveying the nature of dynamical systems, in which a point particle alternates between free motion and specular reflections from the boundary of a domain, this book assesses the ways in which they can be applied to aerodynamics as well as geometrical optics.

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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.

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Verlag
Springer
Erscheinungsdatum
2014
Sprache
Englisch
ISBN 10 
1489999132
ISBN 13 
9781489999139
Einband
Tapa blanda
Anzahl der Seiten
300
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Hamburg
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Weitere beliebte Ausgaben desselben Titels

9781461444800: Exterior Billiards: Systems with Impacts Outside Bounded Domains

Vorgestellte Ausgabe

ISBN 10:  1461444802 ISBN 13:  9781461444800
Verlag: Springer, 2012
Hardcover