Instability, Nonexistence, and Uniqueness in Elasticity with Porous Dissipation
<p>This paper is devoted to the study of the elasticity with porous dissipation. In the context of the nonlinear problem, we prove instability and nonexistence of solutions. In the context of the linear problem, we obtain exponential growth. We also obtain uniqueness of solutions of the backwa...
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| Format: | Article |
|---|---|
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | Differential Equations and Nonlinear Mechanics |
| Online Access: | http://www.hindawi.com/journals/ijde/2006/068748 |
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| _version_ | 1849412125716381696 |
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| collection | DOAJ |
| description | <p>This paper is devoted to the study of the elasticity with porous dissipation. In the context of the nonlinear problem, we prove instability and nonexistence of solutions. In the context of the linear problem, we obtain exponential growth. We also obtain uniqueness of solutions of the backward in time problem of the linear equations.</p> |
| format | Article |
| id | doaj-art-5e274b37ea444b22ae1f88bbcbecd85f |
| institution | Kabale University |
| issn | 1687-4099 1687-4102 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Differential Equations and Nonlinear Mechanics |
| spelling | doaj-art-5e274b37ea444b22ae1f88bbcbecd85f2025-08-20T03:34:32ZengWileyDifferential Equations and Nonlinear Mechanics1687-40991687-41022006-01-012006Instability, Nonexistence, and Uniqueness in Elasticity with Porous Dissipation<p>This paper is devoted to the study of the elasticity with porous dissipation. In the context of the nonlinear problem, we prove instability and nonexistence of solutions. In the context of the linear problem, we obtain exponential growth. We also obtain uniqueness of solutions of the backward in time problem of the linear equations.</p>http://www.hindawi.com/journals/ijde/2006/068748 |
| spellingShingle | Instability, Nonexistence, and Uniqueness in Elasticity with Porous Dissipation Differential Equations and Nonlinear Mechanics |
| title | Instability, Nonexistence, and Uniqueness in Elasticity with Porous Dissipation |
| title_full | Instability, Nonexistence, and Uniqueness in Elasticity with Porous Dissipation |
| title_fullStr | Instability, Nonexistence, and Uniqueness in Elasticity with Porous Dissipation |
| title_full_unstemmed | Instability, Nonexistence, and Uniqueness in Elasticity with Porous Dissipation |
| title_short | Instability, Nonexistence, and Uniqueness in Elasticity with Porous Dissipation |
| title_sort | instability nonexistence and uniqueness in elasticity with porous dissipation |
| url | http://www.hindawi.com/journals/ijde/2006/068748 |