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Exterior billiards: systems with impacts outside bounded domains

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Bibliographic Details
Main Author:	Plakhov, Alexander (Author)
Format:	Electronic eBook
Language:	English
Published:	New York, NY [u.a.] Springer 2012
Online Access:	BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UER01 UPA01 Volltext Abstract
Physical Description:	1 Online-Ressource
ISBN:	9781461444800 9781461444817
DOI:	10.1007/978-1-4614-4481-7

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Record in the Search Index

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adam_text	EXTERIOR BILLIARDS / PLAKHOV, ALEXANDER : 2013 ABSTRACT / INHALTSTEXT A BILLIARD IS A DYNAMICAL SYSTEM IN WHICH A POINT PARTICLE ALTERNATES BETWEEN FREE MOTION AND SPECULAR REFLECTIONS FROMTHE BOUNDARYOF 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 BYNONCONVEX 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 DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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author	Plakhov, Alexander
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discipline	Mathematik
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spelling	Plakhov, Alexander Verfasser aut Exterior billiards systems with impacts outside bounded domains Alexander Plakhov New York, NY [u.a.] Springer 2012 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier https://doi.org/10.1007/978-1-4614-4481-7 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025330232&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Abstract
spellingShingle	Plakhov, Alexander Exterior billiards systems with impacts outside bounded domains
title	Exterior billiards systems with impacts outside bounded domains
title_auth	Exterior billiards systems with impacts outside bounded domains
title_exact_search	Exterior billiards systems with impacts outside bounded domains
title_full	Exterior billiards systems with impacts outside bounded domains Alexander Plakhov
title_fullStr	Exterior billiards systems with impacts outside bounded domains Alexander Plakhov
title_full_unstemmed	Exterior billiards systems with impacts outside bounded domains Alexander Plakhov
title_short	Exterior billiards
title_sort	exterior billiards systems with impacts outside bounded domains
title_sub	systems with impacts outside bounded domains
url	https://doi.org/10.1007/978-1-4614-4481-7 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025330232&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT plakhovalexander exteriorbilliardssystemswithimpactsoutsideboundeddomains

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