Leander Claes

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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} + Γ(Θ…

math.AP2025

Describing smooth small-data solutions to a quasilinear hyperbolic-parabolic system by $W^{1, p}$ energy analysis

Leander Claes, Michael Winkler

In bounded $n$ -dimensonal domains with $n \geq 1$ , this manuscript examines an initial-boundary value problem for the system \[ \left\{ \begin{array}{l} u_{tt} = \nabla \cdot (γ(Θ) \…

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

Describing smooth small-data solutions to a quasilinear hyperbolic-parabolic system by W1,p energy analysis

Describing smooth small-data solutions to a quasilinear hyperbolic-parabolic system by $W^{1, p}$ energy analysis