Fluid flows around moving obstacles: non-autonomous rotation and fluids with variable density
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Logos-Verl.
2012
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| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | VIII, 203 S. graph. Darst. 21 cm |
| ISBN: | 9783832530952 3832530959 |
Internformat
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Datensatz im Suchindex
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IMAGE 1
CONTENTS
PREFACE I
ZUSAMMENFASSUNG V
INTRODUCTION IX
1 PRELIMINARIES 1
1.1 NOTATIONS, FUNCTION SPACES AND BASIC INEQUALITIES 1
1.2 ABSTRACT CAUCHY PROBLEMS 11
1.2.1 AUTONOMOUS ABSTRACT CAUCHY PROBLEMS AND CO-SEMIGROUPS 11 1.2.2
NON-AUTONOMOUS ABSTRACT CAUCHY PROBLEMS AND EVOLUTION SYSTEMS . . 18 1.3
THE HELMHOLTZ DECOMPOSITION 21
1.4 THE STOKES OPERATOR AND THE STOKES SEMIGROUP 25
1.4.1 L 2 -THEORY 25
1.4.2 L P -THEORY 28
1.5 THE STOKES OPERATOR WITH ROTATING EFFECT 32
1.6 THE BOGOVSKIL OPERATOR AND APPLICATIONS 34
1.6.1 CUT-OFF PROCEDURES 35
1.6.2 INHOMOGENEOUS DIRICHLET BOUNDARY CONDITIONS 37
1.7 CLASSICAL COMPACTNESS RESULTS 38
2 STATIONARY STOKES EQUATIONS AND ELLIPTIC ZAESTIMATES 3 9
2.1 THE CLASSICAL STOKES SYSTEM 39
2.1.1 THE WHOLE SPACE R D AND THE HALF-SPACE 40
2.1.2 THE CASE OF BOUNDED DOMAINS 41
2.1.3 THE CASE OF EXTERIOR DOMAINS 43
2.2 THE MODIFIED STOKES SYSTEM WITH ROTATING EFFECT 46
3 DECAY ESTIMATES FOR THE STOKES SEMIGROUP IN EXTERIOR DOMAINS 5 1
3.1 STATEMENT OF THE ZZ-ESTIMATES 51
3.2 GLOBAL L 2 -ESTIMATES 52
3.3 PROOF OF THE Z/'-ESTIMATES 55
HTTP://D-NB.INFO/1020500972
IMAGE 2
CONTENTS
4 NAVIER-STOKES FLOWS AROUND A MOVING OBSTACLE: THE NON-AUTONOMOUS CASE
6 9
4.1 THE LINEAR MODEL PROBLEM IN R D 73
4.1.1 THE SOLUTION FORMULA 74
4.1.2 LP-LP-E STIMATES 82
4.2 THE LINEAR MODEL PROBLEM IN BOUNDED DOMAINS 86
4.2.1 WELL-POSEDNESS AND ZA-L'-ESTIMATES 88
4.2.2 PRESSURE ESTIMATES 91
4.3 THE LINEAR MODEL PROBLEM IN EXTERIOR DOMAINS 93
4.3.1 CONSTRUCTION OF THE EVOLUTION SYSTEM 94
4.3.2 ZZ-L'-ESTIMATES 106
4.4 THE NON-LINEAR PROBLEM: EXISTENCE OF MILD SOLUTIONS 108
5 DENSITY-DEPENDENT NAVIER-STOKES FLOWS AROUND A ROTATING OBSTACLE 121
5.1 MAIN RESULT 123
5.2 OUTLINE OF THE PROOF OF THE MAIN RESULT 125
5.3 PREPARATORY RESULTS 133
5.3.1 TECHNICAL LEMMAS 134
5.3.2 THE LINEAR TRANSPORT EQUATION 136
5.3.3 PROOF OF ELLIPTIC L 6 -ESTIMATE 146
5.4 SOLVING THE APPROXIMATING PROBLEM 149
5.5 A PRIORI ESTIMATES 153
5.5.1 UNIFORM ESTIMATES IN N 153
5.5.2 UNIFORM ESTIMATES IN R 161
5.6 CONCLUSION OF THE PROOF 174
5.7 AN EXAMPLE FROM GEOPHYSICS 188
SUPPLEMENT: METHOD OF CHARACTERISTICS FOR TRANSPORT EQUATIONS 192
BIBLIOGRAPHY 195
VIII |
| any_adam_object | 1 |
| author | Hansel, Tobias |
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| bvnumber | BV040345066 |
| ctrlnum | (OCoLC)802287772 (DE-599)DNB1020500972 |
| dewey-full | 532.5301515353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 532 - Fluid mechanics |
| dewey-raw | 532.5301515353 |
| dewey-search | 532.5301515353 |
| dewey-sort | 3532.5301515353 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Thesis Book |
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| institution | BVB |
| isbn | 9783832530952 3832530959 |
| language | English |
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| publishDate | 2012 |
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| spelling | Hansel, Tobias Verfasser (DE-588)1021433551 aut Fluid flows around moving obstacles non-autonomous rotation and fluids with variable density von Tobias Hansel Berlin Logos-Verl. 2012 VIII, 203 S. graph. Darst. 21 cm txt rdacontent n rdamedia nc rdacarrier Zugl.: Darmstadt, Techn. Univ., Diss., 2012 Umströmung (DE-588)4121807-3 gnd rswk-swf Navier-Stokes-Gleichung (DE-588)4041456-5 gnd rswk-swf Inkompressible Strömung (DE-588)4129759-3 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Inkompressible Strömung (DE-588)4129759-3 s Umströmung (DE-588)4121807-3 s Navier-Stokes-Gleichung (DE-588)4041456-5 s DE-604 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3990421&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025199238&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hansel, Tobias Fluid flows around moving obstacles non-autonomous rotation and fluids with variable density Umströmung (DE-588)4121807-3 gnd Navier-Stokes-Gleichung (DE-588)4041456-5 gnd Inkompressible Strömung (DE-588)4129759-3 gnd |
| subject_GND | (DE-588)4121807-3 (DE-588)4041456-5 (DE-588)4129759-3 (DE-588)4113937-9 |
| title | Fluid flows around moving obstacles non-autonomous rotation and fluids with variable density |
| title_auth | Fluid flows around moving obstacles non-autonomous rotation and fluids with variable density |
| title_exact_search | Fluid flows around moving obstacles non-autonomous rotation and fluids with variable density |
| title_full | Fluid flows around moving obstacles non-autonomous rotation and fluids with variable density von Tobias Hansel |
| title_fullStr | Fluid flows around moving obstacles non-autonomous rotation and fluids with variable density von Tobias Hansel |
| title_full_unstemmed | Fluid flows around moving obstacles non-autonomous rotation and fluids with variable density von Tobias Hansel |
| title_short | Fluid flows around moving obstacles |
| title_sort | fluid flows around moving obstacles non autonomous rotation and fluids with variable density |
| title_sub | non-autonomous rotation and fluids with variable density |
| topic | Umströmung (DE-588)4121807-3 gnd Navier-Stokes-Gleichung (DE-588)4041456-5 gnd Inkompressible Strömung (DE-588)4129759-3 gnd |
| topic_facet | Umströmung Navier-Stokes-Gleichung Inkompressible Strömung Hochschulschrift |
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