Verfügbarkeit: Modelling analysis and control of thin plates

Modelling analysis and control of thin plates:

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Bibliographische Detailangaben
Beteiligte Personen:	Lagnese, John E. 1937- (VerfasserIn), Lions, Jacques-Louis 1928-2001 (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Paris [u.a.] Masson [u.a.] 1989
Schriftenreihe:	Recherches en mathématiques appliquées 6
Schlagwörter:	Mathematisches Modell Plates (Engineering) > Mathematical models Numerisches Verfahren Platte
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002570177&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	VI, 174 S.
ISBN:	2225814295 354051550X 038751550X

Internformat

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Datensatz im Suchindex

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adam_text	Table of contents Introduction 1 Chapter I. Plate Models 7 1. Introduction 7 2. Kirchhoff Model 9 3. Mindlin Timoshenko Model 13 4. Equations for the Stretching Components 17 5. Nonlinear Models 18 6. Linear Thermoelastic Plates 25 7. Linear Viscoelastic Plates 32 8. Comments 38 Chapter II. The Mindlin Timoshenko Model and its Limit as K » «• 41 1. Notation. Variational Formulation 41 2. Well Posedness of the M T Model 42 3. The Behavior of the M T Model as K » m 47 3.1. The Case rQ * $ 47 3.2. The Case rQ = f 51 4. Various Remarks 52 Chapter III. A Priori Estimates and Exact Controllability for Mindlin Timoshenko Plates 59 1. Introduction 59 2. Function Spaces and Coerciveness. The Case FQ * $ 60 3. Well Posedness of (1.1) (1.4) 61 3.1. Some Special Subspaces 63 3.2. The Nonhomogeneous Problem 64 4. A Priori Estimates. The Case rQ * $ 68 5. Exact Boundary Controllability. The Case rQ * t 75 6. A Priori Estimates and Exact Controllability. The Case rQ = f 80 7. Hinged Plates 89 7.1. Well Posedness of the Homogeneous Problem 90 7.2. A Priori Estimates and Application of HUM 91 7.3. Proof of Theorem 7.1 96 Chapter IV. The One Dimensional Case 101 1. Orientation 101 2. The Estimates for HUM 102 2.1. Variational Formulation 102 2.2. HUM S Inequality 104 2.3. An Estimate Based on a Non constructive Argument 106 2.4. The Main Inequality 107 3. Uniform Exact Controllability 108 VI TABLE OF CONTENTS 4. Weakening of the Norm 110 4.1. Orientation 110 4.2. Characterization of F2 111 5. Uniform Exact Controllability. (II) 112 5.1. Orientation 112 5.2. A Priori Estimate 112 5.3. Application of HUM 115 5.4. The Limits of the Controls 115 Chapter V. Exact Controllability for Kirchhoff Plates 119 1. The Problems to be Considered 119 2. Study of Case (i) 120 3. Study of Case (i). A Supplementary Resul t 127 4. Study of Case (ii) 131 5. Study of Case (iii). (I) The Case rQ * 0 137 5.1. Preliminaries 137 5.2. Uniform Exact Controllability 142 6. Study of Case (iii). (II) The Case r = f 146 Chapter VI. Partial Exact Controllability for Thermoelastic Plates 151 1. Setting of the Problem 151 2. The Principle of RHUM 152 2.1. Transformation of the Problem 153 2.2. The Principle of RHUM 154 3. Study of a New Norm. Perturbation Method 156 3.1. Adjoint System 156 3.2. Further Properties of the Adjoint System 157 3.3. The Main Lemma 158 3.4. Conclusions 160 3.5. Open Questions 160 Chapter VII. Reachability for Linear Plates with a Long Memory 162 1. Setting of the Problem 162 2. The Main Lemma 163 3. Proof of Theorem 2.1 163 3.1. Formal Description of the Method 163 3.2. Property of u 164 3.3. Proof of Lemma 3.1 165 4. Final Remarks 168 Bibliography 171 Index 175
any_adam_object	1
author	Lagnese, John E. 1937- Lions, Jacques-Louis 1928-2001
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id	DE-604.BV004117905
illustrated	Not Illustrated
indexdate	2024-12-20T08:13:41Z
institution	BVB
isbn	2225814295 354051550X 038751550X
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-002570177
oclc_num	24497086
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physical	VI, 174 S.
publishDate	1989
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publisher	Masson [u.a.]
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series	Recherches en mathématiques appliquées
series2	Recherches en mathématiques appliquées
spellingShingle	Lagnese, John E. 1937- Lions, Jacques-Louis 1928-2001 Modelling analysis and control of thin plates Recherches en mathématiques appliquées Mathematisches Modell Plates (Engineering) Mathematical models Numerisches Verfahren (DE-588)4128130-5 gnd Platte (DE-588)4046304-7 gnd
subject_GND	(DE-588)4128130-5 (DE-588)4046304-7
title	Modelling analysis and control of thin plates
title_auth	Modelling analysis and control of thin plates
title_exact_search	Modelling analysis and control of thin plates
title_full	Modelling analysis and control of thin plates J. E. Lagnese ; J.-L. Lions
title_fullStr	Modelling analysis and control of thin plates J. E. Lagnese ; J.-L. Lions
title_full_unstemmed	Modelling analysis and control of thin plates J. E. Lagnese ; J.-L. Lions
title_short	Modelling analysis and control of thin plates
title_sort	modelling analysis and control of thin plates
topic	Mathematisches Modell Plates (Engineering) Mathematical models Numerisches Verfahren (DE-588)4128130-5 gnd Platte (DE-588)4046304-7 gnd
topic_facet	Mathematisches Modell Plates (Engineering) Mathematical models Numerisches Verfahren Platte
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002570177&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV002654185
work_keys_str_mv	AT lagnesejohne modellinganalysisandcontrolofthinplates AT lionsjacqueslouis modellinganalysisandcontrolofthinplates

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