Electronic Resource

Exterior billiards : systems with impacts outside bounded domains

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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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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

E467

Penerbit

New York : Springer., 2012

Deskripsi Fisik

xiv, 286 hlm.

Bahasa

English

ISBN/ISSN

9781461444817

Klasifikasi

NONE

Tipe Isi

text

Tipe Media

computer

Tipe Pembawa

online resource

Edisi

1

Subjek

Aerodinamika
Optik Geometris

Info Detail Spesifik

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Pernyataan Tanggungjawab

Alexander Plakhov

Versi lain/terkait

Lampiran Berkas

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