Holdings: Non-Newtonian fluids

Non-Newtonian fluids: a dynamical systems approach

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Main Authors:	Guo, Boling 1936- (Author), Guo, Chunxiao (Author), Liu, Yaqing (Author), Li, Qiaoxin (Author)
Format:	Book
Language:	English
Published:	Berlin ; Boston De Gruyter [2018]
Subjects:	Nichtnewtonsche Flüssigkeit Mathematisches Modell
Online Access:	Inhaltsverzeichnis http://www.degruyter.com/search?f%5F0=isbnissn&q%5F0=9783110549232&searchTitles=true https://www.degruyter.com/doc/cover/9783110549232.jpg Inhaltsverzeichnis
Physical Description:	IX, 337 Seiten Illustrationen, Diagramme
ISBN:	9783110549232

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MARC


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Record in the Search Index

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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
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author	Guo, Boling 1936- Guo, Chunxiao Liu, Yaqing Li, Qiaoxin
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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
url	http://d-nb.info/1154612023/04 http://www.degruyter.com/search?f%5F0=isbnissn&q%5F0=9783110549232&searchTitles=true https://www.degruyter.com/doc/cover/9783110549232.jpg 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
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