Exterior billiards : systems with impacts outside bounded domains
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The work Exterior billiards : systems with impacts outside bounded domains represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Exterior billiards : systems with impacts outside bounded domains
Resource Information
The work Exterior billiards : systems with impacts outside bounded domains represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Exterior billiards : systems with impacts outside bounded domains
 Title remainder
 systems with impacts outside bounded domains
 Statement of responsibility
 Alexander Plakhov
 Subject

 Boundary value problems
 Boundary value problems
 Calculus of Variations and Optimal Control; Optimization.
 Differentiable dynamical systems
 Differentiable dynamical systems
 Differentiable dynamical systems
 Differentiable dynamical systems.
 Dynamical Systems and Ergodic Theory.
 Boundary value problems
 Mathematical optimization.
 Mathematics.
 SCIENCE  Energy
 SCIENCE  Mechanics  General
 SCIENCE  Physics  General
 Scattering (Physics)  Mathematical models
 Scattering (Physics)  Mathematical models
 Scattering (Physics)  Mathematical models
 Mathematical Modeling and Industrial Mathematics.
 Language
 eng
 Summary
 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 retroreflection. 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 retroreflection 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
 Cataloging source
 GW5XE
 Dewey number
 530.15535
 Index
 index present
 LC call number
 QC20.7.B6
 LC item number
 P53 2012
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
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