Initial boundary value problem in nonlinear hyperbolic thermoelasticity: some applications in continuum mechanics
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| Format: | Book |
| Language: | English |
| Published: |
Warszawa
Polska Akad. Nauk, Inst. Matematyczny
2002
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| Series: | Dissertationes mathematicae
407 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 51 S. |
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Record in the Search Index
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| adam_text |
Titel: Initial boundary value problem in nonlinear hyperbolic thermoelasticity
Autor: Gawinecki, Jerzy August
Jahr: 2002
CONTENTS
1. Introduction.5
2. Basic notation and formulae. 8
3. The main theorem.16
4. Energy estimate.18
4.1. Linearized system of hyperbolic thermoelasticity.18
4.2. Energy estimate for the linear hyperbolic system.18
5. Proof of Theorem 3.1.24
6. Applications to nonlinear microelasticity theory. Formulation of the main theorem--------27
7. Energy estimate for the linearized microelasticity system.29
7.1. Linearized system of microelasticity theory.29
7.2. Energy estimate for the linear system of microelasticity theory.29
8. Proof of Theorem 6.1.33
9. Application to nonlinear thermodiffusion in a solid body.36
10. Energy estimate for the linearized system of thermodiffusion in a solid body.39
10.1. Linearized system of thermodiffusion in a solid body.39
10.2. Energy estimate for the linear system of thermodiffusion in a solid body.39
10.2.1. Energy estimate for the linear hyperbolic system.39
10.2.2. Energy estimate for the linear parabolic system.40
11. Proof of Theorem 9.1.43
12. General remarks.47
References.47
2000 Mathematics Subject Classification: 35K60, 3K05, 80A10, 80A20, 35G20, 35G25, 35G30,
35L45, 35L70.
Key words and phrases: nonlinear hyperbolic equations, nonlinear hyperbolic-parabolic systems
of equations, initial-boundary value problem, thermoelasticity theory, Sobolev spaces, fixed
point theorem, nonlinear microelasticity theory, energy estimate, nonlinear thermodifusion
in a solid body.
Received 14.11.2001; revised 7.2.2002. |
| any_adam_object | 1 |
| author | Gawinecki, Jerzy August |
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| indexdate | 2025-03-31T20:04:04Z |
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| record_format | marc |
| series | Dissertationes mathematicae |
| series2 | Dissertationes mathematicae |
| spelling | Gawinecki, Jerzy August Verfasser aut Initial boundary value problem in nonlinear hyperbolic thermoelasticity some applications in continuum mechanics Jerzy A. Gawinecki Warszawa Polska Akad. Nauk, Inst. Matematyczny 2002 51 S. txt rdacontent n rdamedia nc rdacarrier Dissertationes mathematicae 407 Mathematisches Modell Boundary value problems Initial value problems Thermoelasticity Mathematical models Nichtlineare hyperbolische Differentialgleichung (DE-588)4228136-2 gnd rswk-swf Thermoelastizität (DE-588)4185143-2 gnd rswk-swf Anfangsrandwertproblem (DE-588)4001990-1 gnd rswk-swf Anfangsrandwertproblem (DE-588)4001990-1 s Nichtlineare hyperbolische Differentialgleichung (DE-588)4228136-2 s Thermoelastizität (DE-588)4185143-2 s DE-604 Dissertationes mathematicae 407 (DE-604)BV000003039 407 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009986278&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gawinecki, Jerzy August Initial boundary value problem in nonlinear hyperbolic thermoelasticity some applications in continuum mechanics Dissertationes mathematicae Mathematisches Modell Boundary value problems Initial value problems Thermoelasticity Mathematical models Nichtlineare hyperbolische Differentialgleichung (DE-588)4228136-2 gnd Thermoelastizität (DE-588)4185143-2 gnd Anfangsrandwertproblem (DE-588)4001990-1 gnd |
| subject_GND | (DE-588)4228136-2 (DE-588)4185143-2 (DE-588)4001990-1 |
| title | Initial boundary value problem in nonlinear hyperbolic thermoelasticity some applications in continuum mechanics |
| title_auth | Initial boundary value problem in nonlinear hyperbolic thermoelasticity some applications in continuum mechanics |
| title_exact_search | Initial boundary value problem in nonlinear hyperbolic thermoelasticity some applications in continuum mechanics |
| title_full | Initial boundary value problem in nonlinear hyperbolic thermoelasticity some applications in continuum mechanics Jerzy A. Gawinecki |
| title_fullStr | Initial boundary value problem in nonlinear hyperbolic thermoelasticity some applications in continuum mechanics Jerzy A. Gawinecki |
| title_full_unstemmed | Initial boundary value problem in nonlinear hyperbolic thermoelasticity some applications in continuum mechanics Jerzy A. Gawinecki |
| title_short | Initial boundary value problem in nonlinear hyperbolic thermoelasticity |
| title_sort | initial boundary value problem in nonlinear hyperbolic thermoelasticity some applications in continuum mechanics |
| title_sub | some applications in continuum mechanics |
| topic | Mathematisches Modell Boundary value problems Initial value problems Thermoelasticity Mathematical models Nichtlineare hyperbolische Differentialgleichung (DE-588)4228136-2 gnd Thermoelastizität (DE-588)4185143-2 gnd Anfangsrandwertproblem (DE-588)4001990-1 gnd |
| topic_facet | Mathematisches Modell Boundary value problems Initial value problems Thermoelasticity Mathematical models Nichtlineare hyperbolische Differentialgleichung Thermoelastizität Anfangsrandwertproblem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009986278&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003039 |
| work_keys_str_mv | AT gawineckijerzyaugust initialboundaryvalueprobleminnonlinearhyperbolicthermoelasticitysomeapplicationsincontinuummechanics |