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A contact problem of a thermoelastic diffusion rod
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| Zeitschriftentitel: | ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik |
|---|---|
| Personen und Körperschaften: | |
| In: | ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 90, 2010, 4, S. 278-286 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
Wiley
|
| Schlagwörter: |
| author_facet |
Aouadi, M. Aouadi, M. |
|---|---|
| author |
Aouadi, M. |
| spellingShingle |
Aouadi, M. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik A contact problem of a thermoelastic diffusion rod Applied Mathematics Computational Mechanics |
| author_sort |
aouadi, m. |
| spelling |
Aouadi, M. 0044-2267 1521-4001 Wiley Applied Mathematics Computational Mechanics http://dx.doi.org/10.1002/zamm.200900312 <jats:title>Abstract</jats:title><jats:p>We consider a one‐dimensional contact problem in linear thermoelastic diffusion theory. The coupled system of equations consists of a hyperbolic equation and two parabolic equations. This problem poses new mathematical difficulties due to the nonlinear boundary conditions. The existence of a weak solution is proved by the use of Sobolev's basic space energy arguments. Moreover, we show that the weak solution converges to zero exponentially as time goes to infinity.</jats:p> A contact problem of a thermoelastic diffusion rod ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik |
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10.1002/zamm.200900312 |
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Wiley, 2010 |
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| title |
A contact problem of a thermoelastic diffusion rod |
| title_unstemmed |
A contact problem of a thermoelastic diffusion rod |
| title_full |
A contact problem of a thermoelastic diffusion rod |
| title_fullStr |
A contact problem of a thermoelastic diffusion rod |
| title_full_unstemmed |
A contact problem of a thermoelastic diffusion rod |
| title_short |
A contact problem of a thermoelastic diffusion rod |
| title_sort |
a contact problem of a thermoelastic diffusion rod |
| topic |
Applied Mathematics Computational Mechanics |
| url |
http://dx.doi.org/10.1002/zamm.200900312 |
| publishDate |
2010 |
| physical |
278-286 |
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<jats:title>Abstract</jats:title><jats:p>We consider a one‐dimensional contact problem in linear thermoelastic diffusion theory. The coupled system of equations consists of a hyperbolic equation and two parabolic equations. This problem poses new mathematical difficulties due to the nonlinear boundary conditions. The existence of a weak solution is proved by the use of Sobolev's basic space energy arguments. Moreover, we show that the weak solution converges to zero exponentially as time goes to infinity.</jats:p> |
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| container_title | ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik |
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| description | <jats:title>Abstract</jats:title><jats:p>We consider a one‐dimensional contact problem in linear thermoelastic diffusion theory. The coupled system of equations consists of a hyperbolic equation and two parabolic equations. This problem poses new mathematical difficulties due to the nonlinear boundary conditions. The existence of a weak solution is proved by the use of Sobolev's basic space energy arguments. Moreover, we show that the weak solution converges to zero exponentially as time goes to infinity.</jats:p> |
| doi_str_mv | 10.1002/zamm.200900312 |
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| imprint | Wiley, 2010 |
| imprint_str_mv | Wiley, 2010 |
| institution | DE-Ch1, DE-L229, DE-D275, DE-Bn3, DE-Brt1, DE-D161, DE-Gla1, DE-Zi4, DE-15, DE-Pl11, DE-Rs1, DE-105, DE-14 |
| issn | 0044-2267, 1521-4001 |
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| physical | 278-286 |
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| series | ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik |
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| spelling | Aouadi, M. 0044-2267 1521-4001 Wiley Applied Mathematics Computational Mechanics http://dx.doi.org/10.1002/zamm.200900312 <jats:title>Abstract</jats:title><jats:p>We consider a one‐dimensional contact problem in linear thermoelastic diffusion theory. The coupled system of equations consists of a hyperbolic equation and two parabolic equations. This problem poses new mathematical difficulties due to the nonlinear boundary conditions. The existence of a weak solution is proved by the use of Sobolev's basic space energy arguments. Moreover, we show that the weak solution converges to zero exponentially as time goes to infinity.</jats:p> A contact problem of a thermoelastic diffusion rod ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik |
| spellingShingle | Aouadi, M., ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, A contact problem of a thermoelastic diffusion rod, Applied Mathematics, Computational Mechanics |
| title | A contact problem of a thermoelastic diffusion rod |
| title_full | A contact problem of a thermoelastic diffusion rod |
| title_fullStr | A contact problem of a thermoelastic diffusion rod |
| title_full_unstemmed | A contact problem of a thermoelastic diffusion rod |
| title_short | A contact problem of a thermoelastic diffusion rod |
| title_sort | a contact problem of a thermoelastic diffusion rod |
| title_unstemmed | A contact problem of a thermoelastic diffusion rod |
| topic | Applied Mathematics, Computational Mechanics |
| url | http://dx.doi.org/10.1002/zamm.200900312 |