Article
| Title: | Stability analysis for a Timoshenko system with generalized thermoelasticity (English) |
| Author: | Bouraoui, Hamed Abderrahmane |
| Language: | English |
| Journal: | Applications of Mathematics |
| ISSN: | 0862-7940 (print) |
| ISSN: | 1572-9109 (online) |
| Volume: | 71 |
| Issue: | 2 |
| Year: | 2026 |
| Pages: | 243-267 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We study the long-time behavior of solutions to a thermoelastic Timoshenko beam system with dual-phase-lag heat conduction. We prove the existence of solutions and their uniqueness using semigroup methods. Exponential energy decay is shown under the condition $2\tau _2>\tau _1$. The analysis preserves full thermal-mechanical coupling for accurate modeling. Numerical simulations using mixed finite elements in space and a multistep time scheme (FEniCSx) confirm the theoretical energy decay and show how the lag parameters and coupling strength influence the decay rate. (English) |
| Keyword: | stability |
| Keyword: | Timoshenko system |
| Keyword: | thermoelasticity |
| Keyword: | dual-phase-lag |
| Keyword: | Lord-Shulman |
| Keyword: | Fourier |
| Keyword: | semigroup theory |
| Keyword: | energy decay |
| MSC: | 35B35 |
| MSC: | 35L55 |
| MSC: | 35Q79 |
| MSC: | 74F05 |
| MSC: | 74H55 |
| DOI: | 10.21136/AM.2026.0112-25 |
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| Date available: | 2026-07-31T06:56:58Z |
| Last updated: | 2026-08-03 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/153664 |
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