Approximation of stochastic partial differential equations and turbulence in fluids:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Augsburg
Wißner
2001
|
| Schriftenreihe: | Augsburger mathematisch-naturwissenschaftliche Schriften
39 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 108 S. graph. Darst. |
| ISBN: | 3896392638 |
Internformat
MARC
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| 100 | 1 | |a Gugg, Christoph |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Approximation of stochastic partial differential equations and turbulence in fluids |c Christoph Gugg |
| 264 | 1 | |a Augsburg |b Wißner |c 2001 | |
| 300 | |a VI, 108 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Augsburger mathematisch-naturwissenschaftliche Schriften |v 39 | |
| 502 | |a Zugl.: Augsburg, Univ., Diss., 2000 | ||
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| 650 | 0 | 7 | |a Diskretisierung |0 (DE-588)4012469-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Burgers-Gleichung |0 (DE-588)4529578-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Turbulente Strömung |0 (DE-588)4117265-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Gaußsches Rauschen |0 (DE-588)4200026-9 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1807322759084113920 |
|---|---|
| adam_text |
CONTENTS
1
INTRODUCTION
1
1.1
HYPERVISCID
BURGERS
EQUATION
.
2
1.2
NAVIER-STOKES
EQUATION
IN
TWO
DIMENSIONS
.
5
1.3
NAVIER-STOKES
EQUATION
IN
THREE
DIMENSIONS
.
7
1.4
PHYSICAL
APPLICATIONS
.
10
1.4.1
RENORMALIZATION
GROUP
THEORY
.
10
1.4.2
NUMERICAL
COMPUTATION
OF
BURGERS
TURBULENCE
.
11
2
BURGERS
EQUATION
13
2.1
LINEAR
RESULTS
.
15
2.2
EXISTENCE
AND
UNIQUENESS
RESULTS
.
32
2.3
APPROXIMATION
IN
PROBABILITY
.
39
2.4
APPROXIMATION
IN
EXPECTATION
.
43
2.5
APPLICATIONS
IN
FLUID
MECHANICS
.
49
3
NAVIER-STOKES
EQUATION
IN
TWO
DIMENSIONS
55
3.1
EXISTENCE
AND
UNIQUENESS
RESULTS
.
55
3.1.1
FORMULATION
OF
THE
PROBLEM
.
55
3.1.2
THE
MAIN
RESULT
.
59
3.1.3
LOCAL
EXISTENCE
.
59
3.1.4
GLOBAL
EXISTENCE
.
62
3.2
APPROXIMATION
RESULTS
.
65
3.2.1
LINEAR
RESULTS
.
66
3.2.2
CONVERGENCE
IN
PROBABILITY
.
68
3.2.3
CONVERGENCE
IN
EXPECTATION
.
72
4
NAVIER-STOKES
EQUATION
IN
THREE
DIMENSIONS
75
4.1
EXISTENCE
AND
UNIQUENESS
RESULTS
.
75
4.1.1
FORMULATION
OF
THE
PROBLEM
.
75
4.1.2
A
LOCAL
EXISTENCE
RESULT
.
77
4.1.3
GLOBAL
EXISTENCE
.
83
4.2
APPROXIMATION
RESULTS
.
92
4.2.1
LINEAR
RESULTS
.
93
4.2.2
APPROXIMATION
OF
LOCAL
SOLUTIONS
.
94
4.2.3
STOPPING
TIMES
IN
LOCAL
APPROXIMATION
THEORY
.
96
4.2.4
GLOBAL
APPROXIMATION
RESULTS
.
99
VI |
| any_adam_object | 1 |
| author | Gugg, Christoph |
| author_facet | Gugg, Christoph |
| author_role | aut |
| author_sort | Gugg, Christoph |
| author_variant | c g cg |
| building | Verbundindex |
| bvnumber | BV013617212 |
| classification_rvk | SK 950 |
| classification_tum | PHY 223d MAT 350d |
| ctrlnum | (OCoLC)48743140 (DE-599)BVBBV013617212 |
| discipline | Physik Mathematik |
| format | Thesis Book |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV013617212 |
| illustrated | Illustrated |
| indexdate | 2024-08-14T01:01:35Z |
| institution | BVB |
| isbn | 3896392638 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009303846 |
| oclc_num | 48743140 |
| open_access_boolean | |
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| owner_facet | DE-384 DE-12 DE-703 DE-29T DE-37 DE-824 DE-M49 DE-BY-TUM DE-634 DE-188 |
| physical | VI, 108 S. graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Wißner |
| record_format | marc |
| series | Augsburger mathematisch-naturwissenschaftliche Schriften |
| series2 | Augsburger mathematisch-naturwissenschaftliche Schriften |
| spelling | Gugg, Christoph Verfasser aut Approximation of stochastic partial differential equations and turbulence in fluids Christoph Gugg Augsburg Wißner 2001 VI, 108 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Augsburger mathematisch-naturwissenschaftliche Schriften 39 Zugl.: Augsburg, Univ., Diss., 2000 Approximation (DE-588)4002498-2 gnd rswk-swf Navier-Stokes-Gleichung (DE-588)4041456-5 gnd rswk-swf Stochastische partielle Differentialgleichung (DE-588)4135969-0 gnd rswk-swf Diskretisierung (DE-588)4012469-1 gnd rswk-swf Burgers-Gleichung (DE-588)4529578-5 gnd rswk-swf Turbulente Strömung (DE-588)4117265-6 gnd rswk-swf Gaußsches Rauschen (DE-588)4200026-9 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Turbulente Strömung (DE-588)4117265-6 s Burgers-Gleichung (DE-588)4529578-5 s Gaußsches Rauschen (DE-588)4200026-9 s Diskretisierung (DE-588)4012469-1 s Approximation (DE-588)4002498-2 s DE-604 Navier-Stokes-Gleichung (DE-588)4041456-5 s Stochastische partielle Differentialgleichung (DE-588)4135969-0 s Augsburger mathematisch-naturwissenschaftliche Schriften 39 (DE-604)BV009824413 39 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009303846&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gugg, Christoph Approximation of stochastic partial differential equations and turbulence in fluids Augsburger mathematisch-naturwissenschaftliche Schriften Approximation (DE-588)4002498-2 gnd Navier-Stokes-Gleichung (DE-588)4041456-5 gnd Stochastische partielle Differentialgleichung (DE-588)4135969-0 gnd Diskretisierung (DE-588)4012469-1 gnd Burgers-Gleichung (DE-588)4529578-5 gnd Turbulente Strömung (DE-588)4117265-6 gnd Gaußsches Rauschen (DE-588)4200026-9 gnd |
| subject_GND | (DE-588)4002498-2 (DE-588)4041456-5 (DE-588)4135969-0 (DE-588)4012469-1 (DE-588)4529578-5 (DE-588)4117265-6 (DE-588)4200026-9 (DE-588)4113937-9 |
| title | Approximation of stochastic partial differential equations and turbulence in fluids |
| title_auth | Approximation of stochastic partial differential equations and turbulence in fluids |
| title_exact_search | Approximation of stochastic partial differential equations and turbulence in fluids |
| title_full | Approximation of stochastic partial differential equations and turbulence in fluids Christoph Gugg |
| title_fullStr | Approximation of stochastic partial differential equations and turbulence in fluids Christoph Gugg |
| title_full_unstemmed | Approximation of stochastic partial differential equations and turbulence in fluids Christoph Gugg |
| title_short | Approximation of stochastic partial differential equations and turbulence in fluids |
| title_sort | approximation of stochastic partial differential equations and turbulence in fluids |
| topic | Approximation (DE-588)4002498-2 gnd Navier-Stokes-Gleichung (DE-588)4041456-5 gnd Stochastische partielle Differentialgleichung (DE-588)4135969-0 gnd Diskretisierung (DE-588)4012469-1 gnd Burgers-Gleichung (DE-588)4529578-5 gnd Turbulente Strömung (DE-588)4117265-6 gnd Gaußsches Rauschen (DE-588)4200026-9 gnd |
| topic_facet | Approximation Navier-Stokes-Gleichung Stochastische partielle Differentialgleichung Diskretisierung Burgers-Gleichung Turbulente Strömung Gaußsches Rauschen Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009303846&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV009824413 |
| work_keys_str_mv | AT guggchristoph approximationofstochasticpartialdifferentialequationsandturbulenceinfluids |