Year: 2025
Type: article
Abstract: The hyperbolic-parabolic model $$\begin{aligned} \left\{ \begin{array}{ll} u_{tt} = u_{xx} - \big (f(\Theta )\big )_x, \qquad & x\in \Omega , \ t>0, \\ \Theta _t = \Theta _{xx} - f(\Theta ) u_{xt}, \qquad & x\in \Omega , \ t>0, \end{array} \right. \end{aligned}$$ u tt = u xx - ( f ( Θ ) ) x , x ∈ Ω , t > 0 , Θ t = Θ xx - f ( Θ ) u xt , x ∈ Ω , t > 0 , for the evolution of the displacement variable u and the temperature $$\Theta \ge 0$$ Θ ≥ 0 during thermoelastic interaction in a one-dimensional bounded interval $$\Omega $$ Ω is considered. Whereas the literature has provided comprehensive results on global solutions for sufficiently regular initial data $$(u_0,u_{0t},\Theta _0)=(u,u_t,\Theta )|_{t=0}$$ ( u 0 , u 0 t , Θ 0 ) = ( u
Author: Michael Winkler
Institution: Paderborn University
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,190
OpenAlex ID: W4416097104