Hysteresis, convexity and dissipation in hyperbolic equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Tokyo
Gakkōtosho
1996
|
| Series: | [GAKUTO international series / Mathematical sciences and applications]
8 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VII, 211 S. graph. Darst. |
| ISBN: | 4762504173 |
Staff View
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Record in the Search Index
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| adam_text | GAKUTO INTERNATIONAL SERIES MATHEMATICAL SCIENCES AND APPLICATIONS
VOLUME 8 HYSTERESIS, CONVEXITY AND DISSIPATION IN HYPERBOLIC EQUATIONS
PAVEL KREJCI MATHEMATICAL INSTITUTE ACADEMY OF SCIENCES OF THE CZECH
REPUBLIC ZITNA 25 11567 PRAGUE CZECH REPUBLIC MAY 1996 GAKKOTOSHO,
TOKYO, JAPAN ILL TABLE OF CONTENTS PREFACE VI I. HYSTERESIS OPERATORS IN
MECHANICS 1 LI RHEOLOGICAL MODELS 2 COMPOSITION OF RHEOLOGICAL ELEMENTS
6 KINEMATIC HARDENING 11 ISOTROPIC AND KINEMATIC HARDENING 13 MULTIYIELD
MODELS 15 1.2 GEOMETRY OF CONVEX SETS 19 RECESSION CONE 20 TANGENT AND
NORMAL CONE 23 STRICT CONVEXITY 24 1.3 THE PLAY AND STOP OPERATORS 27
CONTINUOUS INPUTS 30 REGULARITY 33 PERIODIC INPUTS 36 ENERGY
INEQUALITIES 37 1.4 SPECIAL CHARACTERISTICS 39 CYLINDERS 39 STRICTLY
CONVEX CYLINDERS 39 POLYHEDRONS 42 SMOOTH CHARACTERISTICS 45 II. SCALAR
MODELS OF HYSTERESIS 48 II. 1 SCALAR PLAY AND STOP 49 LIPSCHITZ
CONTINUITY 49 OUTPUT VARIATION 51 11.2 MEMORY OF THE PLAY-STOP SYSTEM 55
DIFFERENTIABILITY 61 MONOTONICITY 63 11.3 MULTIYIELD SCALAR HYSTERESIS
MODELS 66 PRANDTL - ISHLINSKII OPERATORS 66 PREISACH OPERATOR 69 THE
DELIA TORRE MODEL . 78 IV 11.4 MONOTONICITY &RID ENERGY INEQUALITIES 79
THERMO DYNAMICAL CONSISTENCY 80 MONOTONICITY 83 SECOND ORDER ENERGY
INEQUALITIES 86 11.5 MODELS OF FATIGUE AND DAMAGE 94 A NONLINEAR
ELASTO-PLASTO-BRITTLE MODEL 94 A DIFFERENTIAL MODEL OF FATIGUE 98 III.
HYPERBOLIC EQUATIONS WITH HYSTERETIC CONSTITUTIVE LAWS 103 111.1
CONSTRUCTION OF SOLUTIONS 103 MONOTONICITY METHOD 104 COMPACTNESS METHOD
11 0 111.2 UNIQUENESS AND ASYMPTOTICS 117 UNIQUENESS 117 NONRESONANCE
119 DECAY OF SOLUTIONS 122 111.3 PERIODIC SOLUTIONS 130 COMPACTNESS
METHOD 130 MONOTONICITY METHOD 134 ASYMPTOTIC STABILITY 142 IV. THE
RIEMANN PROBLEM 147 IV.L WEAK SELF-SIMILAR SOLUTIONS 148 NONEXISTENCE OF
SMOOTH SOLUTIONS 148 WEAK SOLUTIONS 149 MULTIPLICITY OF WEAK SOLUTIONS
154 IV.2 DISSIPATION OF ENERGY 158 DISSIPATION CONDITION 158
MULTIPLICITY OF DISSIPATIVE SOLUTIONS 162 IV.3 MINIMAL SOLUTIONS 165
MONOTONE SOLUTIONS 166 EXISTENCE AND UNIQUENESS OF MINIMAL SOLUTIONS 170
EXISTENCE AND UNIQUENESS IN THE RIEMANN PROBLEM 173 IV.4 ENTROPY
CONDITIONS 178 LAX ENTROPY CONDITION 178 LIU S SHOCK ADMISSIBILITY
CRITERION 180 DAFERMOS MAXIMAL ENTROPY RATE CRITERION 182 VANISHING
VISCOSITY 183 V V. APPENDIX: FUNCTION SPACES 189 V.I INTEGRATION OF
VECTOR-VALUED FUNCTIONS 189 BOCHNER INTEGRAL 192 FUNCTIONS OF BOUNDED
VARIATIONS 196 STIELTJES INTEGRAL 199 V.2 EMBEDDING THEOREMS . . . 204
LIST OF REFERENCES 208
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:15:29Z |
| institution | BVB |
| isbn | 4762504173 |
| language | English |
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| physical | VII, 211 S. graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Gakkōtosho |
| record_format | marc |
| series2 | [GAKUTO international series / Mathematical sciences and applications] |
| spelling | Krejčí, Pavel Verfasser aut Hysteresis, convexity and dissipation in hyperbolic equations Pavel Krejčí Tokyo Gakkōtosho 1996 VII, 211 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier [GAKUTO international series / Mathematical sciences and applications] 8 Hysterese (DE-588)4132813-9 gnd rswk-swf Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd rswk-swf Kontinuumsmechanik (DE-588)4032296-8 gnd rswk-swf Kontinuumsmechanik (DE-588)4032296-8 s Hysterese (DE-588)4132813-9 s Hyperbolische Differentialgleichung (DE-588)4131213-2 s DE-604 Mathematical sciences and applications] [GAKUTO international series 8 (DE-604)BV011762304 8 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007944099&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Krejčí, Pavel Hysteresis, convexity and dissipation in hyperbolic equations Hysterese (DE-588)4132813-9 gnd Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd |
| subject_GND | (DE-588)4132813-9 (DE-588)4131213-2 (DE-588)4032296-8 |
| title | Hysteresis, convexity and dissipation in hyperbolic equations |
| title_auth | Hysteresis, convexity and dissipation in hyperbolic equations |
| title_exact_search | Hysteresis, convexity and dissipation in hyperbolic equations |
| title_full | Hysteresis, convexity and dissipation in hyperbolic equations Pavel Krejčí |
| title_fullStr | Hysteresis, convexity and dissipation in hyperbolic equations Pavel Krejčí |
| title_full_unstemmed | Hysteresis, convexity and dissipation in hyperbolic equations Pavel Krejčí |
| title_short | Hysteresis, convexity and dissipation in hyperbolic equations |
| title_sort | hysteresis convexity and dissipation in hyperbolic equations |
| topic | Hysterese (DE-588)4132813-9 gnd Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd |
| topic_facet | Hysterese Hyperbolische Differentialgleichung Kontinuumsmechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007944099&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV011762304 |
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