Exterior billiards: systems with impacts outside bounded domains
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1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New York, NY [u.a.]
Springer
2012
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Online-Zugang: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UER01 UPA01 Volltext Abstract |
Beschreibung: | 1 Online-Ressource |
ISBN: | 9781461444800 9781461444817 |
DOI: | 10.1007/978-1-4614-4481-7 |
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Datensatz im Suchindex
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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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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 |
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