Global smooth solutions in a one-dimensional thermoviscoelastic model with temperature-dependent paramaters
Abstract
This manuscript is concerned with the system { u t t = ( γ ( Θ ) u x t ) x + ( a ( x , t ) u x ) x + ( f ( Θ ) ) x , Θ t = D Θ x x + γ ( Θ ) u x t 2 + f ( Θ ) u x t , which is used to describe thermoviscoelastic developments in one-dimensional Kelvin–Voigt materials. It is assumed that a , γ and f are sufficiently smooth functions that satisfy c γ < γ ( ζ ) < C γ , γ ″ ( ζ
Fields of Study & Subjects
Stability and Controllability of Differential Equations
Thermoelastic and Magnetoelastic Phenomena
Differential Equations and Boundary Problems
Publication details
- Journal / source
- Electronic journal of qualitative theory of differential equations
- Issue
- 28
- Pages
- 1–19
- Publication date
- 1 January 2026
- Language
- EN