Asymptotic analysis for vanishing acceleration in a thermoviscoelastic system
We have investigated a dynamic thermoviscoelastic system (2003), establishing existence and uniqueness results for a related initial and boundary values problem. The aim of the present paper is to study the asymptotic behavior of the solution to the above problem as the power of the acceleration fo...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2005-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/AAA.2005.105 |
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| _version_ | 1832562655690227712 |
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| author | Elena Bonetti Giovanna Bonfanti |
| author_facet | Elena Bonetti Giovanna Bonfanti |
| author_sort | Elena Bonetti |
| collection | DOAJ |
| description | We have investigated a dynamic thermoviscoelastic system (2003), establishing existence and uniqueness results for a related initial and boundary values problem. The aim of the present paper is to study the asymptotic behavior of the solution to the above problem as the power of the acceleration forces goes to zero. In particular, well-posedness and regularity results for the limit (quasistatic) problem are recovered. |
| format | Article |
| id | doaj-art-120000676a91405fb394362014cfba5f |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-120000676a91405fb394362014cfba5f2025-02-03T01:21:59ZengWileyAbstract and Applied Analysis1085-33751687-04092005-01-012005210512010.1155/AAA.2005.105Asymptotic analysis for vanishing acceleration in a thermoviscoelastic systemElena Bonetti0Giovanna Bonfanti1Dipartimento di Matematica, Università degli Studi di Pavia, via Ferrata 1, Pavia 27100, ItalyDipartimento di Matematica, Università degli Studi di Brescia, via Branze 38, Brescia 25123, ItalyWe have investigated a dynamic thermoviscoelastic system (2003), establishing existence and uniqueness results for a related initial and boundary values problem. The aim of the present paper is to study the asymptotic behavior of the solution to the above problem as the power of the acceleration forces goes to zero. In particular, well-posedness and regularity results for the limit (quasistatic) problem are recovered.http://dx.doi.org/10.1155/AAA.2005.105 |
| spellingShingle | Elena Bonetti Giovanna Bonfanti Asymptotic analysis for vanishing acceleration in a thermoviscoelastic system Abstract and Applied Analysis |
| title | Asymptotic analysis for vanishing acceleration in a thermoviscoelastic system |
| title_full | Asymptotic analysis for vanishing acceleration in a thermoviscoelastic system |
| title_fullStr | Asymptotic analysis for vanishing acceleration in a thermoviscoelastic system |
| title_full_unstemmed | Asymptotic analysis for vanishing acceleration in a thermoviscoelastic system |
| title_short | Asymptotic analysis for vanishing acceleration in a thermoviscoelastic system |
| title_sort | asymptotic analysis for vanishing acceleration in a thermoviscoelastic system |
| url | http://dx.doi.org/10.1155/AAA.2005.105 |
| work_keys_str_mv | AT elenabonetti asymptoticanalysisforvanishingaccelerationinathermoviscoelasticsystem AT giovannabonfanti asymptoticanalysisforvanishingaccelerationinathermoviscoelasticsystem |