Abstract
In this paper, we consider the stabilization of a one-dimensional system of type II thermoelasticity with voids, which consists of two wave equations for the porous-elastic model and a type II heat equation. We study the polynomial decay of the model with only one global damping on the heat equation of type II. For some special cases, optimal orders are confirmed. Exponential stability is also obtained when there are two local dampings.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the 41st Chinese Control Conference, CCC 2022 |
| Editors | Zhijun Li, Jian Sun |
| Publisher | IEEE Computer Society |
| Pages | 1009-1014 |
| Number of pages | 6 |
| ISBN (Electronic) | 9789887581536 |
| DOIs | |
| Publication status | Published - 2022 |
| Event | 41st Chinese Control Conference, CCC 2022 - Hefei, China Duration: 25 Jul 2022 → 27 Jul 2022 |
Publication series
| Name | Chinese Control Conference, CCC |
|---|---|
| Volume | 2022-July |
| ISSN (Print) | 1934-1768 |
| ISSN (Electronic) | 2161-2927 |
Conference
| Conference | 41st Chinese Control Conference, CCC 2022 |
|---|---|
| Country/Territory | China |
| City | Hefei |
| Period | 25/07/22 → 27/07/22 |
Keywords
- 2010 Mathematics Subject Classification, 74F05, 74F99, 74H20, 74H40, 74H55
- Exponential stability
- Polynomial stability
- Semi-group
- Thermo-porous-elasticity
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Zhang, H., & Zhang, Q. (2022). Stabilization of a Type II Thermo-Porous-Elastic System. In Z. Li, & J. Sun (Eds.), Proceedings of the 41st Chinese Control Conference, CCC 2022 (pp. 1009-1014). (Chinese Control Conference, CCC; Vol. 2022-July). IEEE Computer Society. https://doi.org/10.23919/CCC55666.2022.9902396