Verfügbarkeit: Why the boundary of a round drop becomes a curve of order four

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Bibliographische Detailangaben
Beteiligte Personen:	Varčenko, Aleksandr N. 1949- (VerfasserIn), Etingof, Pavel 1969- (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Providence, Rhode Island American Mathematical Society [1992]
Schriftenreihe:	University lecture series Volume 3
Schlagwörter:	Elliptisches Randwertproblem Freies Randwertproblem Fluid Strömungsmechanik Hydrodynamik Tropfen
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005074337&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	viii, 72 Seiten Diagramme
ISBN:	0821870025 9780821870020

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Datensatz im Suchindex

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DE-BY-UBR_katkey	1968636
DE-BY-UBR_location	UB Lesesaal Mathematik
DE-BY-UBR_media_number	069008427966
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adam_text	Contents Preface vii 1. Mathematical model 1 1.1. Filtration flow of an incompressible fluid 1 1.2. The moving boundary problem 2 2. First integrals of boundary motion 5 2.1. Richardson s integrability theorem 5 2.2. Reconstruction of a domain from the values of its moments, and the inverse problem of two dimensional potential theory 6 2.3. Results on the uniqueness of a domain with given moments (potential) 7 2.4. The result of injection does not depend on the order of work of the sources and sinks 9 Problems 10 3. Algebraic solutions 11 3.1. Algebraic and abelian domains 11 3.2. Algebraic solutions 11 3.3. The Cauchy transform and its properties 12 3.4. Singularity correspondence theorem 12 3.5. Proof of the theorem on algebraic solutions 14 3.6. Construction of algebraic solutions 14 iii iv CONTENTS 3.7. Examples 16 Problems 18 4. Contraction of a gas bubble 21 4.1. Formulation of the problem 21 4.2. The inclusion property 22 4.3. Contraction of a convex domain 23 4.4. Contraction points 24 4.5. An analogue of Richardson s theorem 25 4.6. Dynamics of the gravity potential 27 4.7. The gravity potential as the solution of a boundary value problem . 27 4.8. Proof of the main theorem 28 4.9. Self similar solutions 29 4.10. Asymptotics of contraction 30 4.11. Several sources 31 Problems 32 5. Evolution of a multiply connected domain 35 5.1. Statement of the problem 35 5.2. Integrals of motion 35 5.3. Algebraic solutions 36 5.4. Riemann s theorem 37 5.5. Singularity correspondence 38 5.6. Proof of the theorem on algebraic solutions 39 5.7. Construction of solutions . 39 5.8. Reconstruction of an annular domain from its moments 40 Problems 42 CONTENTS v 6. Evolution with topological transformations 43 6.1. Weak solutions of the evolution problem 43 6.2. The simplest algebraic solutions 46 6.3. Weak solutions of the contraction problem 50 6.4. A sufficient condition of a breakup of a symmetric domain 51 Problems 52 7. Contraction problem on surfaces 55 7.1. Physical motivation 55 7.2. Potential and contraction points 55 7.3. Calculation of the generalized gravity potential on the surface .... 56 7.4. Breakup of the boundary on symmetric surfaces of revolution .... 58 Problems 60 Answers and clues to the problems 61 A few open questions 69 References 71
any_adam_object	1
author	Varčenko, Aleksandr N. 1949- Etingof, Pavel 1969-
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author_facet	Varčenko, Aleksandr N. 1949- Etingof, Pavel 1969-
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isbn	0821870025 9780821870020
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-005074337
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physical	viii, 72 Seiten Diagramme
publishDate	1992
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publisher	American Mathematical Society
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series	University lecture series
series2	University lecture series
spellingShingle	Varčenko, Aleksandr N. 1949- Etingof, Pavel 1969- Why the boundary of a round drop becomes a curve of order four University lecture series Elliptisches Randwertproblem (DE-588)4193399-0 gnd Freies Randwertproblem (DE-588)4155303-2 gnd Fluid (DE-588)4017690-3 gnd Strömungsmechanik (DE-588)4077970-1 gnd Hydrodynamik (DE-588)4026302-2 gnd Tropfen (DE-588)4130676-4 gnd
subject_GND	(DE-588)4193399-0 (DE-588)4155303-2 (DE-588)4017690-3 (DE-588)4077970-1 (DE-588)4026302-2 (DE-588)4130676-4
title	Why the boundary of a round drop becomes a curve of order four
title_alt	Počemu granica krugloj kapli prevraščaecja v inversnyj obraz ẹllipsa?
title_auth	Why the boundary of a round drop becomes a curve of order four
title_exact_search	Why the boundary of a round drop becomes a curve of order four
title_full	Why the boundary of a round drop becomes a curve of order four A. N. Varchenko ; P. I. Etingof
title_fullStr	Why the boundary of a round drop becomes a curve of order four A. N. Varchenko ; P. I. Etingof
title_full_unstemmed	Why the boundary of a round drop becomes a curve of order four A. N. Varchenko ; P. I. Etingof
title_short	Why the boundary of a round drop becomes a curve of order four
title_sort	why the boundary of a round drop becomes a curve of order four
topic	Elliptisches Randwertproblem (DE-588)4193399-0 gnd Freies Randwertproblem (DE-588)4155303-2 gnd Fluid (DE-588)4017690-3 gnd Strömungsmechanik (DE-588)4077970-1 gnd Hydrodynamik (DE-588)4026302-2 gnd Tropfen (DE-588)4130676-4 gnd
topic_facet	Elliptisches Randwertproblem Freies Randwertproblem Fluid Strömungsmechanik Hydrodynamik Tropfen
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005074337&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV004153846
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