Instability, nonexistence, and uniqueness in elasticity with porous dissipation
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 tim...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
|
| Series: | Differential Equations and Nonlinear Mechanics |
| Online Access: | http://dx.doi.org/10.1155/DENM/2006/68748 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849408143843393536 |
|---|---|
| author | M. C. Leseduarte R. Quintanilla |
| author_facet | M. C. Leseduarte R. Quintanilla |
| author_sort | M. C. Leseduarte |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-3f6dcdcc2c5b4594b2852dcb8fd47ce8 |
| 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-3f6dcdcc2c5b4594b2852dcb8fd47ce82025-08-20T03:35:51ZengWileyDifferential Equations and Nonlinear Mechanics1687-40991687-41022006-01-01200610.1155/DENM/2006/6874868748Instability, nonexistence, and uniqueness in elasticity with porous dissipationM. C. Leseduarte0R. Quintanilla1Departament de Matemàtica Aplicada 2, Universitat Politècnica de Catalunya, Colom 11, Terrassa, Barcelona 08222, SpainDepartament de Matemàtica Aplicada 2, Universitat Politècnica de Catalunya, Colom 11, Terrassa, Barcelona 08222, SpainThis 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.http://dx.doi.org/10.1155/DENM/2006/68748 |
| spellingShingle | M. C. Leseduarte R. Quintanilla 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://dx.doi.org/10.1155/DENM/2006/68748 |
| work_keys_str_mv | AT mcleseduarte instabilitynonexistenceanduniquenessinelasticitywithporousdissipation AT rquintanilla instabilitynonexistenceanduniquenessinelasticitywithporousdissipation |