An introduction to the mathematical theory of the Navier-Stokes equations: 2 Nonlinear steady problems
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
New York u.a.
Springer
1998
|
| Ausgabe: | Rev. ed., corr. 2. printing |
| Schriftenreihe: | Springer tracts in natural philosophy
39 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008721399&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XIII, 342 S. |
| ISBN: | 0387941509 3540941509 |
Internformat
MARC
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| 100 | 1 | |a Galdi, Giovanni P. |d 1947- |e Verfasser |0 (DE-588)11089152X |4 aut | |
| 245 | 1 | 0 | |a An introduction to the mathematical theory of the Navier-Stokes equations |n 2 |p Nonlinear steady problems |c Giovanni P. Galdi |
| 250 | |a Rev. ed., corr. 2. printing | ||
| 264 | 1 | |a New York u.a. |b Springer |c 1998 | |
| 300 | |a XIII, 342 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 830 | 0 | |a Springer tracts in natural philosophy |v 39 |w (DE-604)BV000692404 |9 39 | |
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Datensatz im Suchindex
| _version_ | 1819335427842113536 |
|---|---|
| adam_text | Contents
Preface
vii
Preface
to the First Revised Edition
ix
VIII
Steady Navier-Stokes Flow in Bounded Domains
1
Introduction
.............................. 1
VIII.1 Generalised Solutions. Preliminary Considerations
.... 4
VIII.2 On the Uniqueness of Generalised Solutions
........ 9
VIII.3 Existence and Uniqueness with Homogeneous
Boundary Data
........................ 14
VIII.4 Existence and Uniqueness with Nonhomogeneous
Boundary Data
........................ 20
VIII.5 Regularity of Generalised Solutions
............. 37
VIII.6 Limit of Infinite Viscosity: Transition to the
Stokes Problem
........................ 53
VIII.7 Notes for the Chapter
.................... 56
IX Steady Navier-Stokes Flow in Three-Dimensional
Exterior Domains
61
Introduction
.............................. 61
DC.1 Generalised Solutions. Preliminary Considerations and
Regularity Properties
...................... 64
DC2 On the Validity of the Energy Equation for Generalised
Solutions
............................ 70
xii Contents
IX.3
Some Uniqueness Results
................... 79
IX.4 Existence of Generalised Solutions
.............. 87
IX.5 The Energy Equation and Uniqueness for Generalised
Solutions when «oo
φ
0..................... 98
IX.6 On the Asymptotic Behaviour of Generalised Solutions:
Preliminary Results and Representation Formulas
......106
VX..7 Global Summability of Generalised Solutions when
««>
Φ
0 117
IX.8 The Asymptotic Structure of Generalised Solutions when
υ«, φ
0..............................131
IX.9 On the Asymptotic Structure of Generalised Solutions when
«oo = 0
..............................142
IX.
10
Limit of Vanishing Reynolds Number: Transition to the
Stokes Problem
.........................151
IX.ll Notes for the Chapter
.....................162
X Steady Navier-Stokes Flow in Two-Dimensional
Exterior Domains
165
Introduction
.............................. 165
X.I Generalised Solutions and D-Solutions
............ 168
X.2 On the Uniqueness of Generalised Solutions
......... 169
X.3 On the Asymptotic Behaviour of D-Solutions
........ 172
X.4 Existence and Uniqueness of Solutions when
ν,» φ
0 .... 193
X.5 Global Summability of Generalised Solutions when «oo
φ
0 209
X.6 The Asymptotic Structure of Generalised Solutions when
υ«, φ
0.............................. 221
X.7 Limit of Vanishing Reynolds Number: Transition to the
Stokes Problem
......................... 240
X.8 Notes for the Chapter
..................... 246
XI Steady Navier-Stokes Flow in Domains with
Unbounded Boundaries
248
Introduction
..............................248
XLI
Leray s Problem: Generalised Solutions and Related
Properties
............................251
XI.2 On the Uniqueness of Generalised Solutions to Leray s
Problem
.............................254
XI.3 Existence and Uniqueness of Solutions to Leray s Problem
261
XI.4 Decay Estimates for Steady Flow in a Semi-Infinite Straight
Channel
.............................267
XI.5 Flow in an Aperture Domain. Generalised Solutions and
Related Properties
.......................277
XI.6 Energy Equation and Uniqueness for Flows in an Aperture
Domain
.............................
XI.7 Existence and Uniqueness of Flows in an Aperture Domain
287
Contente
xiii
XI.8 Global Summability
of Generalised
Solutions
for Flow in an
Aperture Domain
........................ 301
XI.9 Asymptotic Structure of Generalised Solutions for Flow in
an Aperture Domain
...................... 309
XI.10 Notes for the Chapter
..................... 321
Bibliography
325
Index
338
|
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| id | DE-604.BV012820649 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T10:36:47Z |
| institution | BVB |
| isbn | 0387941509 3540941509 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008721399 |
| oclc_num | 495494572 |
| open_access_boolean | |
| owner | DE-703 DE-29T DE-384 DE-355 DE-BY-UBR DE-634 DE-188 |
| owner_facet | DE-703 DE-29T DE-384 DE-355 DE-BY-UBR DE-634 DE-188 |
| physical | XIII, 342 S. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Springer |
| record_format | marc |
| series | Springer tracts in natural philosophy |
| series2 | Springer tracts in natural philosophy |
| spellingShingle | Galdi, Giovanni P. 1947- An introduction to the mathematical theory of the Navier-Stokes equations Springer tracts in natural philosophy Navier-Stokes, Équations de ram |
| title | An introduction to the mathematical theory of the Navier-Stokes equations |
| title_auth | An introduction to the mathematical theory of the Navier-Stokes equations |
| title_exact_search | An introduction to the mathematical theory of the Navier-Stokes equations |
| title_full | An introduction to the mathematical theory of the Navier-Stokes equations 2 Nonlinear steady problems Giovanni P. Galdi |
| title_fullStr | An introduction to the mathematical theory of the Navier-Stokes equations 2 Nonlinear steady problems Giovanni P. Galdi |
| title_full_unstemmed | An introduction to the mathematical theory of the Navier-Stokes equations 2 Nonlinear steady problems Giovanni P. Galdi |
| title_short | An introduction to the mathematical theory of the Navier-Stokes equations |
| title_sort | an introduction to the mathematical theory of the navier stokes equations nonlinear steady problems |
| topic | Navier-Stokes, Équations de ram |
| topic_facet | Navier-Stokes, Équations de |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008721399&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV009710283 (DE-604)BV000692404 |
| work_keys_str_mv | AT galdigiovannip anintroductiontothemathematicaltheoryofthenavierstokesequations2 |