Hotspot Formation Driven by Temperature-Dependent Coefficients in One-Dimensional Thermoviscoelasticity
Abstract
Abstract. 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 [Formula: see text] norm in the temperature variable is discovered.
Fields of Study & Subjects
Stability and Controllability of Differential Equations
Thermoelastic and Magnetoelastic Phenomena
Differential Equations and Boundary Problems
Publication details
- Journal / source
- SIAM Journal on Mathematical Analysis
- Volume
- 58
- Issue
- 5
- Pages
- 5487–5512
- Publication date
- 8 October 2026
- Language
- EN