4 papers
Large time existence in a thermoviscoelastic evolution problem with mildly temperature-dependent parameters
Felix Meyer
We consider \begin{align*} \label{HS} \left\{ \begin{array}{l} u_{tt} = (γ(Θ) u_{xt})_x + a (γ(Θ) u_x)_x +(f(Θ))_x, \\[1mm] Θ_t = DΘ_{xx} + Γ(Θ) u_{xt}^2 + F(Θ) u_{xt}, \end{array}…
Global smooth solutions in a one-dimensional thermoviscoelastic model with temperature-dependent paramaters
Felix Meyer
This manuscript is concerned with the system \begin{align*} \left\{ \begin{array}{l} u_{tt} = (γ(Θ) u_{xt})_x + (a(x,t) u_x)_x +(f(Θ))_x, \\[1mm] Θ_t = DΘ_{xx} + γ(Θ) u_{xt}^2 + f(…
Large-data global solutions to a quasilinear model for viscuos acoustic wave propagation in a non-isothermal setting
Felix Meyer, Michael Winkler
The manuscript considers the model for conversion of mechanical energy into heat during acoustic wave propagation in the presence of temperature-dependent elastic parameters, as gi…
Existence of large-data solutions to a thermo-piezoelectric system and forward operator analysis for associated inverse problems
Torben J. Fricke, Raphael Kuess, Felix Meyer
We consider an inverse problem governed by the initial-boundary value problem for the thermo-piezoelectric Kelvin-Voigt dynamical system \[ \left\{ \begin{aligned} ρ(z,t) u_{tt} &=…