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Titlebook: Exterior Billiards; Systems with Impacts Alexander Plakhov Book 2013 Springer Science+Business Media New York 2013 Bodies of Maximal and Mi

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發(fā)表于 2025-3-21 19:37:03 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱(chēng)Exterior Billiards
副標(biāo)題Systems with Impacts
編輯Alexander Plakhov
視頻videohttp://file.papertrans.cn/320/319869/319869.mp4
概述Examines properties of billiard dynamics outside bounded domains.Includes topics such as scattering, resistance, invisibility and retro-reflection?.Useful for mathematicians working in dynamical syste
圖書(shū)封面Titlebook: Exterior Billiards; Systems with Impacts Alexander Plakhov Book 2013 Springer Science+Business Media New York 2013 Bodies of Maximal and Mi
描述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
出版日期Book 2013
關(guān)鍵詞Bodies of Maximal and Minimal Resistance; Newton‘s Aerodynamic Problem; Optimal Mass Transportation; Ou
版次1
doihttps://doi.org/10.1007/978-1-4614-4481-7
isbn_softcover978-1-4899-9913-9
isbn_ebook978-1-4614-4481-7
copyrightSpringer Science+Business Media New York 2013
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沙發(fā)
發(fā)表于 2025-3-21 23:18:45 | 只看該作者
板凳
發(fā)表于 2025-3-22 02:01:37 | 只看該作者
Scattering in Billiards,assumptions. In particular, the particles have no thermal motion, that is, the medium has temperature zero, and the body is not allowed to oscillate or rotate. Of course, one can pose new questions about our solutions: are they sensitive to the thermal motion of the particles or to rotational motion
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Scattering in Billiards,at is the least resistance the body can display? We can also ask about . the resistance. In Newton’s original setting, this is a trivial problem: one can produce a body with upper front orthogonal to the direction of motion, but when there is rotation, the problem is not so simple.
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發(fā)表于 2025-3-23 01:48:21 | 只看該作者
Book 2013erior 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 ret
10#
發(fā)表于 2025-3-23 07:35:54 | 只看該作者
Index der Krystallformen der Mineralienarent ball with varying radially symmetric refractive index going to infinity at the center [19,71]. Each incident light ray, after making a curve in the lens around the center, leaves in the direction exactly opposite to the direction of incidence. On the other hand, no . retroreflector based solely on . (rather than refraction) is known.
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