Hotspot formation driven by temperature-dependent coefficients in one-dimensional thermoviscoelasticity
Analysis of PDEs
2026-02-05 v1
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 norm in the temperature variable is discovered.
Cite
@article{arxiv.2602.03997,
title = {Hotspot formation driven by temperature-dependent coefficients in one-dimensional thermoviscoelasticity},
author = {Michael Winkler},
journal= {arXiv preprint arXiv:2602.03997},
year = {2026}
}