Existence and uniqueness of solutions for a three-dimensional thermoelastic system:
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| Main Authors: | , |
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| Format: | Book |
| Language: | English |
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Warszawa
Polska Akad. Nauk, Inst. Matematyczny
2002
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| Series: | Dissertationes mathematicae
406 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 46 S. |
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Record in the Search Index
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Titel: Existence and uniqueness of solutions for a three-dimensional thermoelastic system
Autor: Pawlow, Irena
Jahr: 2002
CONTENTS
1. Introduction.5
2. Notation and preliminaries.8
3. Thermodynamical framework.10
4. Assumptions and main results.14
5. Existence proof.16
6. Uniqueness proof.29
7. Auxiliary results.31
7.1. Parabolicity of systems with elasticity operator.31
7.2. Additional regularity of solutions.35
7.3. The maximum principle for regular data.38
7.4. The stability of solutions. 39
7.5. Imbeddings and compactness.43
References.44
Abstract
A thermodynamically consistent model of shape memory alloys in three dimensions is studied.
The thermoelastic system, based on the strain tensor, its gradient and the absolute tempera-
ture, is a generalization of the well-known one-dimensional Falk model. The key assumptions
concerning the form of constitutive relations are discussed. The detailed and selfcontained proof
of the global-in-time existence and uniqueness of solutions is presented.
2000 Mathematics Subject Classification: 35Q72, 35K50, 35K60, 74B20.
Key words and phrases: nonlinear thermoelasticity, parabolic regularization, shape memory al-
loys.
Received 19.12.2000; revised 30.10.2001. |
| any_adam_object | 1 |
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| indexdate | 2025-03-31T20:04:04Z |
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| language | English |
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| physical | 46 S. |
| publishDate | 2002 |
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| publisher | Polska Akad. Nauk, Inst. Matematyczny |
| record_format | marc |
| series | Dissertationes mathematicae |
| series2 | Dissertationes mathematicae |
| spelling | Pawlow, Irena Verfasser aut Existence and uniqueness of solutions for a three-dimensional thermoelastic system Irena Pawłow ; Antoni Żochowski Warszawa Polska Akad. Nauk, Inst. Matematyczny 2002 46 S. txt rdacontent n rdamedia nc rdacarrier Dissertationes mathematicae 406 Shape memory alloys Thermoelasticity Dimension 3 (DE-588)4321722-9 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Thermoelastizität (DE-588)4185143-2 gnd rswk-swf Thermoelastizität (DE-588)4185143-2 s Dimension 3 (DE-588)4321722-9 s Mathematik (DE-588)4037944-9 s DE-604 Zochowski, Antoni Verfasser aut Dissertationes mathematicae 406 (DE-604)BV000003039 406 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009986245&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Pawlow, Irena Zochowski, Antoni Existence and uniqueness of solutions for a three-dimensional thermoelastic system Dissertationes mathematicae Shape memory alloys Thermoelasticity Dimension 3 (DE-588)4321722-9 gnd Mathematik (DE-588)4037944-9 gnd Thermoelastizität (DE-588)4185143-2 gnd |
| subject_GND | (DE-588)4321722-9 (DE-588)4037944-9 (DE-588)4185143-2 |
| title | Existence and uniqueness of solutions for a three-dimensional thermoelastic system |
| title_auth | Existence and uniqueness of solutions for a three-dimensional thermoelastic system |
| title_exact_search | Existence and uniqueness of solutions for a three-dimensional thermoelastic system |
| title_full | Existence and uniqueness of solutions for a three-dimensional thermoelastic system Irena Pawłow ; Antoni Żochowski |
| title_fullStr | Existence and uniqueness of solutions for a three-dimensional thermoelastic system Irena Pawłow ; Antoni Żochowski |
| title_full_unstemmed | Existence and uniqueness of solutions for a three-dimensional thermoelastic system Irena Pawłow ; Antoni Żochowski |
| title_short | Existence and uniqueness of solutions for a three-dimensional thermoelastic system |
| title_sort | existence and uniqueness of solutions for a three dimensional thermoelastic system |
| topic | Shape memory alloys Thermoelasticity Dimension 3 (DE-588)4321722-9 gnd Mathematik (DE-588)4037944-9 gnd Thermoelastizität (DE-588)4185143-2 gnd |
| topic_facet | Shape memory alloys Thermoelasticity Dimension 3 Mathematik Thermoelastizität |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009986245&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003039 |
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