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Exterior Billiards - Systems with Impacts Outside Bounded Domains

por Alexander Plakhov
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103,98 €
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Alexander Plakhov Exterior Billiards - Systems with Impacts Outside Bounded Domains
Alexander Plakhov - Exterior Billiards - Systems with Impacts Outside Bounded Domains

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Descripción

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.

Colaboradores

Autor:
Alexander Plakhov

Detalles de producto

Ilustraciones:
XIV, 286 p.
Indice:
-Notation and synopsis of main results. -Problem of minimum resistance to translational motion of bodies. -Newton’s problem in media with positive temperature. -Scattering in billiards. -Problems of optimal mass transportation. -Problems on optimization of mean resistance. -Magnus effect and dynamics of a rough disc. -On invisible bodies. –Retroreflectors.
Observaciones:
Examines properties of billiard dynamics outside bounded domains


Includes topics such as scattering, resistance, invisibility and retro-reflection?


Useful for mathematicians working in dynamical systems


Includes supplementary material: sn.pub/extras

Tipo de medio:
Tapa blanda
Editorial:
Springer US
Revisado:

From the reviews:

"The book under review is a very nice presentation of several problems related to the aerodynamics of bodies in highly rarefied media. ... The book is very pleasant to read; the various mathematical models are clearly presented, and even a nonspecialist in the field can follow the presentation of the problems. Several pictures that are included greatly help the reader ... ." (Giuseppe Buttazzo, SIAM Review, Vol. 56 (1), March, 2014)

Idioma:
Inglés
Edición:
2013
Número de páginas:
286
Resumen:
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.

Datos base

Tipo de producto:
Libro de bolsillo
Fecha de aparición:
15 de octubre de 2014
Dimensiones del paquete:
0.235 x 0.155 x 0.018 m; 0.452 kg
GTIN:
09781489999139
DUIN:
B4SEOFVKJ6N
103,98 €
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