Holdings: Fluids in the exterior domain of several moving obstacles

Fluids in the exterior domain of several moving obstacles:

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Bibliographic Details
Main Author:	Dintelmann, Eva (Author)
Format:	Thesis Book
Language:	English
Published:	Berlin wvb, Wiss. Verl. 2007
Subjects:	Navier-Stokes-Gleichung Außenraumproblem Hochschulschrift
Online Access:	Beschreibung für Leser Inhaltsverzeichnis
Physical Description:	XV, 111 S. 24 cm
ISBN:	3865733115

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MARC


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Record in the Search Index

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adam_text	FLUIDS IN THE EXTERIOR DOMAIN OF SEVERAL MOVING OBSTACLES VOM FACHBEREICH MATHEMATIK DER TECHNISCHEN UNIVERSITAT DARMSTADT ZUR ERLANGUNG DES GRADES EINES DOKTORS DER NATURWISSENSCHAFTEN (DR. RER. NAT.) GENEHMIGTE DISSERTATION VON DIPL. MATH. EVA CHARLOTTE DINTELMANN AUS SEEHEIM-JUGENHEIM REFERENT: PROF. DR. M. HIEBER KORREFERENT: PROF DR. Y. SHIBATA TAG DER EINREICHUNG: 13. APRIL 2007 TAG DER MIINDLICHEN PRIIFUNG: '19. JUNI 2007 DARMSTADT 2007 D 17 CONTENTS INTRODUCTION VII ZUSAMMENFASSUNG XV 1 PRELIMINARIES 1 1.1 NOTATION 1 1.2 SOBOLEV SPACES 2 1.3 BESSEL POTENTIAL SPACES AND BESOV SPACES 4 1.4 SOME FACTS FROM OPERATOR THEORY 6 1.5 HELMHOLTZ PROJECTION AND STOKES OPERATOR 8 1.6 THE BOGOVSKII OPERATOR 11 1.7 THE MIXED DERIVATIVES THEOREM 13 1.8 MAXIMAL REGULARITY AND THE ZOO OF SOLUTIONS 15 2 //-THEORY IN THE ROTATING FRAMEWORK 23 2.1 THE NAVIER-STOKES EQUATIONS 26 2.2 AN APPROACH VIA THE CLASSICAL STOKES OPERATOR 32 2.2.1 ESTIMATES OF THE COEFFICIENTS 33 2.2.2 ESTIMATE OF THE RIGHT HAND SIDE 36 2.2.3 THE FIXED POINT ARGUMENT 39 3 A DIRECT APPROACH 45 3.1 THE NOTION OF NON-AUTONOMOUS MAXIMAL //-REGULARITY 45 3.2 A MODIFIED HELMHOLTZ PROJECTION . . . O 47 3.3 NON-AUTONOMOUS MAXIMAL //-REGULARITY 48 3.4 FIXED POINT ARGUMENT 52 3.5 LOST AND FOUND - THE ASSOCIATED PRESSURE 54 4 SEVERAL CLASSES OF SOLUTIONS 57 4.1 VERY WEAK AND WEAK SOLUTIONS 57 4.2 A BRIEF-EXCURSION TO THE MILD SOLUTION 61 VI CONTENTS 4.3 REVISITING THE STRONG SOLUTION 63 4.4 VERY WEAK SOLUTIONS 67 5 NON-NEWTONIAN FIUIDS 75 5.1 PHENOMENA ."" 76 5.2 MATHEMATICAL FORMULATION 76 5.3 MODELS 77 5.4 KNOWN MATHEMATICAL RESULTS 80 5.5 //-THEORY OF NON-NEWTONIAN FLUIDS 85 5.5.1 THE OPERATOR 87 5.5.2 A RESULT DUE TO BOTHE AND PRIIFI 93 5.5.3 THE MAIN RESULT 95 BIBLIOGRAPHY 99
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indexdate	2024-07-20T10:09:52Z
institution	BVB
isbn	3865733115
language	English
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physical	XV, 111 S. 24 cm
publishDate	2007
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publisher	wvb, Wiss. Verl.
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spelling	Dintelmann, Eva Verfasser aut Fluids in the exterior domain of several moving obstacles Eva Dintelmann Berlin wvb, Wiss. Verl. 2007 XV, 111 S. 24 cm txt rdacontent n rdamedia nc rdacarrier Zugl.: Darmstadt, Techn. Univ., Diss., 2007 Navier-Stokes-Gleichung (DE-588)4041456-5 gnd rswk-swf Außenraumproblem (DE-588)4403107-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Navier-Stokes-Gleichung (DE-588)4041456-5 s Außenraumproblem (DE-588)4403107-5 s DE-604 http://deposit.dnb.de/cgi-bin/dokserv?id=3014544&prov=M&dok_var=1&dok_ext=htm Beschreibung für Leser HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017445403&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Dintelmann, Eva Fluids in the exterior domain of several moving obstacles Navier-Stokes-Gleichung (DE-588)4041456-5 gnd Außenraumproblem (DE-588)4403107-5 gnd
subject_GND	(DE-588)4041456-5 (DE-588)4403107-5 (DE-588)4113937-9
title	Fluids in the exterior domain of several moving obstacles
title_auth	Fluids in the exterior domain of several moving obstacles
title_exact_search	Fluids in the exterior domain of several moving obstacles
title_full	Fluids in the exterior domain of several moving obstacles Eva Dintelmann
title_fullStr	Fluids in the exterior domain of several moving obstacles Eva Dintelmann
title_full_unstemmed	Fluids in the exterior domain of several moving obstacles Eva Dintelmann
title_short	Fluids in the exterior domain of several moving obstacles
title_sort	fluids in the exterior domain of several moving obstacles
topic	Navier-Stokes-Gleichung (DE-588)4041456-5 gnd Außenraumproblem (DE-588)4403107-5 gnd
topic_facet	Navier-Stokes-Gleichung Außenraumproblem Hochschulschrift
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