collaborators

7 papers

math.AP2026

Global solutions and large time stabilization in a model for thermoacoustics in a standard linear solid

Tobias Black, Michael Winkler

This manuscript is concerned with the one-dimensional system \[ \begin{array}{l} τu_{ttt} + αu_{tt} = b \big(γ(Θ) u_{xt}\big)_x + \big( γ(Θ) u_x\big)_x, \\[1mm] Θ_t = D Θ_{…

math.AP2026

Global solvability and stabilization in multi-dimensional small-strain nonlinear thermoviscoelasticity

Michael Winkler

Despite considerable developments in the literature of the past decades, a standing open problem in the analysis of continuum mechanics appears to consist of determining how far th…

math.AP2026

A simple model for one-dimensional nonlinear thermoelasticity: Well-posedness in rough-data frameworks

Michael Winkler

In an open bounded interval , the problem \[ u_{tt} = u_{xx} - \big(f(Θ)\big)_x, Θ_t = Θ_{xx} - f(Θ) u_{xt}, \] is considered under the boundary conditions $u|_{\partialΩ}…

math.AP2026

Large time stabilization of rough-data solutions in one-dimensional nonlinear thermoelasticity

Michael Winkler

In an open bounded real interval , the model for one-dimensional thermoelasticity given by \[ u_{tt} = u_{xx} - \big(f(Θ)\big)_x, \qquad Θ_t = Θ_{xx} - f(Θ) u_{xt}, \] is c…

math.AP2026

Local strong solutions in a quasilinear Moore-Gibson-Thompson type model for thermoviscoelastic evolution in a standard linear solid

Leander Claes, Michael Winkler

This manuscript is concerned with the evolution system \[ \left\{ \begin{array}{l} u_{ttt} + αu_{tt} = \big(γ(Θ) u_{xt}\big)_x + \big( \widehatγ(Θ) u_x\big)_x, Θ_t = D Θ_{xx…

math.AP2026

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…