Non-Newtonian fluids: a dynamical systems approach
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Boston
De Gruyter
[2018]
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis http://www.degruyter.com/search?f%5F0=isbnissn&q%5F0=9783110549232&searchTitles=true https://www.degruyter.com/doc/cover/9783110549232.jpg Inhaltsverzeichnis |
| Beschreibung: | IX, 337 Seiten Illustrationen, Diagramme |
| ISBN: | 9783110549232 |
Internformat
MARC
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| 100 | 1 | |a Guo, Boling |d 1936- |0 (DE-588)1073302334 |4 aut | |
| 245 | 1 | 0 | |a Non-Newtonian fluids |b a dynamical systems approach |c Boling Guo, Chunxiao Guo, Yaqing Liu, and Qiaoxin Li |
| 264 | 1 | |a Berlin ; Boston |b De Gruyter |c [2018] | |
| 264 | 4 | |c © 2018 | |
| 300 | |a IX, 337 Seiten |b Illustrationen, Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
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| 650 | 0 | 7 | |a Nichtnewtonsche Flüssigkeit |0 (DE-588)4139358-2 |2 gnd |9 rswk-swf |
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| 700 | 1 | |a Guo, Chunxiao |4 aut | |
| 700 | 1 | |a Liu, Yaqing |0 (DE-588)1065202792 |4 aut | |
| 700 | 1 | |a Li, Qiaoxin |4 aut | |
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Datensatz im Suchindex
| _version_ | 1804179084336431104 |
|---|---|
| adam_text | CONTENTS
INTRODUCTION* V
1 NON-NEWTONIAN FLUIDS AND THEIR MATHEMATICAL MODEL * 1
1.1 NON-NEWTONIAN FLUIDS AND THEIR CHARACTERISTICS * 1
1.2 INCOMPRESSIBLE AND ISOTHERMAL BIPOLAR NON-NEWTONIAN FLUIDS
MODELS * 3
1.3 ISOTHERMAL COMPRESSIBLE VISCOUS FLUIDS MODELS * 8
1.4 OTHER RELATED MODELS * 9
2 GLOBAL SOLUTIONS TO THE EQUATIONS OF NON-NEWTONIAN FLUIDS * 15
2.1 GLOBAL SOLUTIONS TO THE PERIODIC INITIAL VALUE PROBLEMS
FOR THE INCOMPRESSIBLE NON-NEWTONIAN FLUIDS * 15
2.1.1 EXISTENCE AND UNIQUENESS OF GLOBAL SOLUTIONS TO THE INCOMPRESSIBLE
BIPOLAR FLUIDS * 15
2.1.2 EXISTENCE OF WEAK SOLUTIONS TO THE INCOMPRESSIBLE MONOPOLAR
FLUIDS * 23
2.2 GLOBAL SOLUTIONS TO THE COMPRESSIBLE NON-NEWTONIAN FLUIDS -
EXISTENCE
AND UNIQUENESS OF WEAK SOLUTION TO THE BIPOLAR COMPRESSIBLE
NON-NEWTONIAN FLUIDS * 24
2.3 TIME-PERIODIC SOLUTIONS TO THE INCOMPRESSIBLE BIPOLAR FLUIDS * 29
2.3.1 TIME-PERIODIC WEAK SOLUTIONS TO THE INCOMPRESSIBLE BIPOLAR
FLUIDS * 29
2.3.2 EXISTENCE AND UNIQUENESS OF STRONG TIME-PERIODIC SOLUTIONS TO
THE INCOMPRESSIBLE BIPOLAR FLUIDS * 33
2.4 EXISTENCE AND UNIQUENESS AND STABILITY OF GLOBAL SOLUTIONS TO THE
INITIAL
BOUNDARY VALUE PROBLEMS FOR THE INCOMPRESSIBLE BIPOLAR VISCOUS
FLUIDS * 43
2.4.1 EXISTENCE * 44
2.4.2 REGULARITY * 50
2.4.3 UNIQUENESS * 53
2.4.4 STABILITY * 53
2.5 THE PERIODIC INITIAL VALUE PROBLEM AND INITIAL VALUE PROBLEM FOR THE
MODIFIED BOUSSINESQ APPROXIMATION * 55
2.6 PERIODIC INITIAL VALUE PROBLEM AND INITIAL VALUE PROBLEM FOR
THE NON-NEWTONIAN-BOUSSINESQ APPROXIMATION * 67
3 GLOBAL ATTRACTORS OF INCOMPRESSIBLE NON-NEWTONIAN FLUIDS
* 89
3.1 GLOBAL ATTRACTORS OF INCOMPRESSIBLE NON-NEWTONIAN FLUIDS ON BOUNDED
DOMAIN * 93
V III * CONTENTS
3.1.1
3.1.2
3.1.3
3.2
3.3
3.3.1
3.3.2
4
5
5.1
5.1.1
5.1.2
5.1.3
5.1.4
5.2
5.2.1
5.2.2
6
6.1
6.2
6.3
6.4
6.5
7
7.1
7.2
8
8.1
EXISTENCE OF ABSORBING SETS * 93
CONSISTENTLY DIFFERENTIABILITY FOR THE SOLUTION SEMIGROUP * 98
FOR/*! 0, THE UPPER BOUNDED ESTIMATES OF
DH(A ^)
AND
D ^ A ^ )
OF
ATTRACTOR * 105
GLOBAL ATTRACTORS OF INCOMPRESSIBLE NON-NEWTONIAN FLUIDS ON UNBOUNDED
DOMAIN * 107
EXPONENTIAL ATTRACTORS OF INCOMPRESSIBLE NON-NEWTONIAN FLUIDS * 119
ESTIMATES FOR THE NONLINEAR TERMS * 120
COMPRESSIBILITY ON I 2(Q)
-----
128
GLOBAL ATTRACTORS OF MODIFIED BOUSSINESQ APPROXIMATION
* 133
INERTIAL MANIFOLDS OF INCOMPRESSIBLE NON-NEWTONIAN FLUIDS
* 159
INERTIAL MANIFOLDS OF INCOMPRESSIBLE BIPOLAR NON-NEWTONIAN
FLUIDS * 159
LIPSCHITZ PROPERTY * 160
THE SQUEEZING PROPERTY * 163
FIXED-POINT THEOREM * 167
INERTIAL MANIFOLDS * 177
APPROXIMATED INERTIAL MANIFOLDS OF INCOMPRESSIBLE BIPOLAR
NON-NEWTONIAN FLUIDS * 179
THE ANALYTICITY IN TIME AND BEHAVIOR OF HIGHER ORDER MODES * 180
APPROXIMATED INERTIAL MANIFOLDS * 185
THE REGULARITY OF SOLUTIONS AND RELATED PROBLEMS
* 191
STATIONARY SOLUTIONS OF THE INCOMPRESSIBLE BIPOLAR NON-NEWTONIAN
FLUIDS * 191
DECAY ESTIMATES OF ONE KIND OF INCOMPRESSIBLE MONOPOLAR
NON-NEWTONIAN FLUID * 195
PARTIAL REGULARITY OF ONE KIND OF INCOMPRESSIBLE MONOPOLAR
NON-NEWTONIAN FLUID * 202
THE CONVERGENCE OF SOLUTION AND ATTRACTORS BETWEEN ONE KIND OF
INCOMPRESSIBLE NON-NEWTONIAN FLUID AND THE NEWTONIAN FLUIDS * 211
OTHER DECAY ESTIMATES OF INCOMPRESSIBLE NON-NEWTONIAN FLUIDS
-----
215
GLOBAL ATTRACTORS AND TIME-SPATIAL CHAOS
* 227
GLOBAL ATTRACTOR OF LOW REGULARITY * 227
ATTRACTORS AND THEIR SPATIAL COMPLEXITY OF REACTION-DIFFUSION EQUATIONS
ON BOUNDED DOMAIN * 244
NON-NEWTONIAN GENERALIZED FLUID AND THEIR APPLICATIONS
* 293
AN INVERSE PROBLEM OF A HEATED GENERALIZED SECOND GRADE FLUID * 293
8.1.1 FORMULATION
-----
293
8.1.2 OUTLINE OF THE OPTIMIZATION METHOD * 294
8.1.3 ILLUSTRATIVE EXAMPLES * 298
8.2 A NUMERICAL STUDY OF A GENERALIZED MAXWELL FLUID THROUGH A POROUS
MEDIUM * 304
8.2.1 MATHEMATICAL MODEL * 305
8.2.2 HPM SOLUTIONS
-----
308
8.2.3 NUMERICAL RESULTS AND DISCUSSION * 309
8.2.4 CONCLUSIONS
-----
313
8.3 VISCOELASTIC FLUID WITH FRACTIONAL DERIVATIVE MODELS * 313
8.3.1 PRELIMINARIES * 314
8.3.2 EIGENFUNCTION EXPANSION OF THE SOLUTION AND PROPERTIES OF
THE TIME-DEPENDENT COMPONENTS * 316
8.3.3 FINITE DIFFERENCE APPROXIMATION * 321
8.3.4 DUHAMEL-TYPE REPRESENTATION OF THE SOLUTION * 322
8.3.5 NUMERICAL EXPERIMENTS * 324
8.3.6 TWO-DIMENSIONAL PROBLEM * 330
8.3.7 CONCLUSION * 332
BIBLIOGRAPHY * 333
INDEX * 339
|
| any_adam_object | 1 |
| author | Guo, Boling 1936- Guo, Chunxiao Liu, Yaqing Li, Qiaoxin |
| author_GND | (DE-588)1073302334 (DE-588)1065202792 |
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| ctrlnum | (OCoLC)1076518613 (DE-599)DNB1154612023 |
| discipline | Physik |
| format | Book |
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| indexdate | 2024-07-10T08:14:14Z |
| institution | BVB |
| isbn | 9783110549232 |
| language | English |
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| spelling | Guo, Boling 1936- (DE-588)1073302334 aut Non-Newtonian fluids a dynamical systems approach Boling Guo, Chunxiao Guo, Yaqing Liu, and Qiaoxin Li Berlin ; Boston De Gruyter [2018] © 2018 IX, 337 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Nichtnewtonsche Flüssigkeit (DE-588)4139358-2 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Nichtnewtonsche Flüssigkeit (DE-588)4139358-2 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Guo, Chunxiao aut Liu, Yaqing (DE-588)1065202792 aut Li, Qiaoxin aut Erscheint auch als Online-Ausgabe, PDF 978-3-11-054961-4 Erscheint auch als Online-Ausgabe, EPUB 978-3-11-054940-9 B:DE-101 application/pdf http://d-nb.info/1154612023/04 Inhaltsverzeichnis X:MVB http://www.degruyter.com/search?f%5F0=isbnissn&q%5F0=9783110549232&searchTitles=true X:MVB https://www.degruyter.com/doc/cover/9783110549232.jpg DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030687098&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Guo, Boling 1936- Guo, Chunxiao Liu, Yaqing Li, Qiaoxin Non-Newtonian fluids a dynamical systems approach Nichtnewtonsche Flüssigkeit (DE-588)4139358-2 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| subject_GND | (DE-588)4139358-2 (DE-588)4114528-8 |
| title | Non-Newtonian fluids a dynamical systems approach |
| title_auth | Non-Newtonian fluids a dynamical systems approach |
| title_exact_search | Non-Newtonian fluids a dynamical systems approach |
| title_full | Non-Newtonian fluids a dynamical systems approach Boling Guo, Chunxiao Guo, Yaqing Liu, and Qiaoxin Li |
| title_fullStr | Non-Newtonian fluids a dynamical systems approach Boling Guo, Chunxiao Guo, Yaqing Liu, and Qiaoxin Li |
| title_full_unstemmed | Non-Newtonian fluids a dynamical systems approach Boling Guo, Chunxiao Guo, Yaqing Liu, and Qiaoxin Li |
| title_short | Non-Newtonian fluids |
| title_sort | non newtonian fluids a dynamical systems approach |
| title_sub | a dynamical systems approach |
| topic | Nichtnewtonsche Flüssigkeit (DE-588)4139358-2 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| topic_facet | Nichtnewtonsche Flüssigkeit Mathematisches Modell |
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