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math.AP2026
Quantitative positivity properties of the temperature in multi-dimensional thermoviscoelastic systems
Torben Fricke
We consider the classical model for small-strain thermoviscoelastic evolution in isotropic Kelvin-Voigt materials with inertia, as given by $$\begin{cases} u_{tt} = μΔu_t + (λ+μ)\n…
math.AP2026
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} &=…