A nonlocal parabolic system with application to a thermoelastic problem
A system modeling the thermoelastic bards contacts is studied. The problem is first transformed into an equivalent nonlocal parabolic systems using a transformation, and then the existence and uniqueness of the solutions are demonstrated via the theoretical potential representation theory of the par...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1999-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171299228554 |
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| _version_ | 1832564444888039424 |
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| author | Y. Lin R. J. Tait |
| author_facet | Y. Lin R. J. Tait |
| author_sort | Y. Lin |
| collection | DOAJ |
| description | A system modeling the thermoelastic bards contacts is studied. The
problem is first transformed into an equivalent nonlocal parabolic systems using a transformation, and then the existence and uniqueness of the solutions are demonstrated via the theoretical potential representation theory of the parabolic equations. Finally some realistic situations in the applications are discussed using the results obtained in this paper. |
| format | Article |
| id | doaj-art-fbbc13b9c1974d429c6e25e2e57a23a5 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1999-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-fbbc13b9c1974d429c6e25e2e57a23a52025-02-03T01:11:04ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251999-01-0122485586710.1155/S0161171299228554A nonlocal parabolic system with application to a thermoelastic problemY. Lin0R. J. Tait1Department of Mathematical Sciences, University of Alberta Edmonton, Alberta T6G 2G1, CanadaDepartment of Mathematical Sciences, University of Alberta Edmonton, Alberta T6G 2G1, CanadaA system modeling the thermoelastic bards contacts is studied. The problem is first transformed into an equivalent nonlocal parabolic systems using a transformation, and then the existence and uniqueness of the solutions are demonstrated via the theoretical potential representation theory of the parabolic equations. Finally some realistic situations in the applications are discussed using the results obtained in this paper.http://dx.doi.org/10.1155/S0161171299228554Nonlocal parabolic systemsthermoelastic barscontact probleminequalityexistence and uniqueness. |
| spellingShingle | Y. Lin R. J. Tait A nonlocal parabolic system with application to a thermoelastic problem International Journal of Mathematics and Mathematical Sciences Nonlocal parabolic systems thermoelastic bars contact problem inequality existence and uniqueness. |
| title | A nonlocal parabolic system with application to a thermoelastic problem |
| title_full | A nonlocal parabolic system with application to a thermoelastic problem |
| title_fullStr | A nonlocal parabolic system with application to a thermoelastic problem |
| title_full_unstemmed | A nonlocal parabolic system with application to a thermoelastic problem |
| title_short | A nonlocal parabolic system with application to a thermoelastic problem |
| title_sort | nonlocal parabolic system with application to a thermoelastic problem |
| topic | Nonlocal parabolic systems thermoelastic bars contact problem inequality existence and uniqueness. |
| url | http://dx.doi.org/10.1155/S0161171299228554 |
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