Hotspot formation driven by temperature-dependent coefficients in one-dimensional thermoviscoelasticity
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866912874825252864 |
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| author | Winkler, Michael |
| author_facet | Winkler, Michael |
| contents | This manuscript is concerned with a two-component evolution system generalizing the classical model for one-dimensional thermoviscoelastic dynamics in Kelvin-Voigt materials in the presence of temperature-dependent viscosities and elastic stiffnesses. Under suitable assumptions on the growth of these ingredients and on the initial data, the occurrence of finite-time blow-up with respect to the $L^\infty$ norm in the temperature variable is discovered. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_03997 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Hotspot formation driven by temperature-dependent coefficients in one-dimensional thermoviscoelasticity Winkler, Michael Analysis of PDEs 74H35, 35B44, 74F05, 35L05 This manuscript is concerned with a two-component evolution system generalizing the classical model for one-dimensional thermoviscoelastic dynamics in Kelvin-Voigt materials in the presence of temperature-dependent viscosities and elastic stiffnesses. Under suitable assumptions on the growth of these ingredients and on the initial data, the occurrence of finite-time blow-up with respect to the $L^\infty$ norm in the temperature variable is discovered. |
| title | Hotspot formation driven by temperature-dependent coefficients in one-dimensional thermoviscoelasticity |
| topic | Analysis of PDEs 74H35, 35B44, 74F05, 35L05 |
| url | https://arxiv.org/abs/2602.03997 |