Semigroups associated with dissipative systems:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton [u.a.]
Chapman & Hall/CRC
1999
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| Series: | Chapman & Hall CRC research notes in mathematics series
398 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 206 S. |
| ISBN: | 0849306159 |
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| adam_text | ZHUANGYI LIU UNIVERSITY OF MINNESOTA, DULUTH SONGMU ZHENG FUDAN
UNIVERSITY, SHANGHAI SEMIGROUPS ASSOCIATED WITH DISSIPATIVE SYSTEMS
CHAPMAN & HALL/CRC BOCA RATON LONDON NEW YORK WASHINGTON, D.C. CONTENTS
PREFACE CHAPTER 1 PRELIMINARIES 1 1.1 SOME DEFINITIONS 1 1.2
CO-SEMIGROUP GENERATED BY DISSIPATIVE OPERATOR 2 1.3 EXPONENTIAL
STABILITY AND ANALYTICITY 4 1.4 THE SOBOLEV SPACES AND ELLIPTIC BOUNDARY
VALUE PROBLEMS 8 1.4.1 SOBOLEV SPACES W M P {L) 8 1.4.2 THE
GAGLIARDO-NIRENBERG AND POINCAE INEQUALITIES 10 1.4.3 ABSTRACT FUNCTIONS
VALUED IN BANACH SPACES 12 1.4.4 LINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS
12 1.4.5 INTERPOLATION SPACES 15 1.5 NOTATION 17 CHAPTER 2 LINEAR
THERMOELASTIC SYSTEMS 18 2.1 THE SETTING OF PROBLEMS FOR THE
ONE-DIMENSIONAL THERMOELASTIC SYSTEM 18 2.2 THE EXPONENTIAL STABILITY
FOR THE DIRICHLET BOUNDARY CONDITIONS AT BOTH ENDS 23 2.3 THE
EXPONENTIAL STABILITY FOR THE STRESS-FREE BOUNDARY CONDITIONS AT BOTH
ENDS 28 2.4 THE EXPONENTIAL STABILITY FOR THE STRESS-FREE BOUNDARY
CONDITIONS AT ONE END 37 2.5 THE THERMOELASTIC KIRCHHOFF PLATE EQUATIONS
43 CHAPTER 3 LINEAR VISCOELASTIC SYSTEMS 61 3.1 LINEAR VISCOELASTIC
SYSTEM 61 3.2 WAVE EQUATION WITH LOCALLY DISTRIBUTED DAMPING 72 3.3
LINEAR VISCOELASTIC SYSTEM WITH MEMORY 77 3.4 THE LINEAR VISCOELASTIC
KIRCHHOFF PLATE WITH MEMORY 87 CHAPTER 4 LINEAR THERMOVISCOELASTIC
SYSTEMS 91 4.1 LINEAR ONE-DIMENSIONAL THERMOVISCOELASTIC SYSTEM 91 4.2
LINEAR THREE-DIMENSIONAL THERMOVISCOELASTIC SYSTEM WITH MEMORY ... 96
CHAPTER 5 ELASTIC SYSTEMS WITH SHEAR DAMPING 112 5.1 SHEAR DIFFUSION
EQUATIONS 112 5.2 LAMINATED BEAM WITH SHEAR DAMPING 119 CHAPTER 6 LINEAR
ELASTIC SYSTEMS WITH BOUNDARY DAMPING 129 6.1 SECOND-ORDER HYPERBOLIC
EQUATION 129 6.2 EULER-BERNOULLI BEAM EQUATION 138 CHAPTER 7 UNIFORMLY
STABLE APPROXIMATIONS 152 7.1 MAIN THEOREM 155 7.2 APPROXIMATIONS OF THE
THERMOELASTIC SYSTEM 163 7.3 APPROXIMATION OF THE VISCOELASTIC SYSTEM
177 BIBLIOGRAPHY 191 INDEX 205
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| indexdate | 2024-07-09T18:31:22Z |
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| isbn | 0849306159 |
| language | English |
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| physical | 206 S. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
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| publisher | Chapman & Hall/CRC |
| record_format | marc |
| series | Chapman & Hall CRC research notes in mathematics series |
| series2 | Chapman & Hall CRC research notes in mathematics series |
| spelling | Liu, Zhuangyi Verfasser aut Semigroups associated with dissipative systems Zhuangyi Liu ; Songmu Zheng Boca Raton [u.a.] Chapman & Hall/CRC 1999 206 S. txt rdacontent n rdamedia nc rdacarrier Chapman & Hall CRC research notes in mathematics series 398 Dissipatie gtt Mécanique analytique ram Semigroepen gtt Semigroupes ram Mechanics, Analytic Semigroups Dissipatives System (DE-588)4209641-8 gnd rswk-swf Halbgruppe (DE-588)4022990-7 gnd rswk-swf Halbgruppe (DE-588)4022990-7 s Dissipatives System (DE-588)4209641-8 s DE-604 Zheng, Songmu Verfasser aut Chapman & Hall CRC research notes in mathematics series 398 (DE-604)BV012456897 398 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008598779&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Liu, Zhuangyi Zheng, Songmu Semigroups associated with dissipative systems Chapman & Hall CRC research notes in mathematics series Dissipatie gtt Mécanique analytique ram Semigroepen gtt Semigroupes ram Mechanics, Analytic Semigroups Dissipatives System (DE-588)4209641-8 gnd Halbgruppe (DE-588)4022990-7 gnd |
| subject_GND | (DE-588)4209641-8 (DE-588)4022990-7 |
| title | Semigroups associated with dissipative systems |
| title_auth | Semigroups associated with dissipative systems |
| title_exact_search | Semigroups associated with dissipative systems |
| title_full | Semigroups associated with dissipative systems Zhuangyi Liu ; Songmu Zheng |
| title_fullStr | Semigroups associated with dissipative systems Zhuangyi Liu ; Songmu Zheng |
| title_full_unstemmed | Semigroups associated with dissipative systems Zhuangyi Liu ; Songmu Zheng |
| title_short | Semigroups associated with dissipative systems |
| title_sort | semigroups associated with dissipative systems |
| topic | Dissipatie gtt Mécanique analytique ram Semigroepen gtt Semigroupes ram Mechanics, Analytic Semigroups Dissipatives System (DE-588)4209641-8 gnd Halbgruppe (DE-588)4022990-7 gnd |
| topic_facet | Dissipatie Mécanique analytique Semigroepen Semigroupes Mechanics, Analytic Semigroups Dissipatives System Halbgruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008598779&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV012456897 |
| work_keys_str_mv | AT liuzhuangyi semigroupsassociatedwithdissipativesystems AT zhengsongmu semigroupsassociatedwithdissipativesystems |