4 papers
Hotspot formation driven by temperature-dependent coefficients in one-dimensional thermoviscoelasticity
Michael Winkler
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…
Continuation methods for higher-order topology optimization
P. Gangl, M. Winkler
We aim to solve a topology optimization problem where the distribution of material in the design domain is represented by a density function. To obtain candidates for local minima,…
Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities
Michael Winkler
An initial-boundary value problem for \[ \left\{ \begin{array}{ll} u_{tt} = \big(γ(Î) u_{xt}\big)_x + au_{xx} - \big(f(Î)\big)_x, \qquad & x\inΩ, \ t>0, \\[1mm] Î_t = Î_{xx}…
Large-data regular solutions in a one-dimensional thermoviscoelastic evolution problem involving temperature-dependent viscosities
Michael Winkler
The model \[ \left\{ \begin{array}{l} u_{tt} = \big(γ(Î) u_{xt}\big)_x + au_{xx} - \big(f(Î)\big)_x, \\[1mm] Î_t = Î_{xx} + γ(Î) u_{xt}^2 - f(Î) u_{xt}, \end{array} \right.…