Showing math.APShow all
3 papers · 1 filter
math.AP2026
Existence, uniqueness, and time-asymptotics of regular solutions in multidimensional thermoelasticity on domains with boundary
Piotr Michał Bies
In the paper, we investigate the nonlinear thermoelasticity model in two- and three-dimensional convex and bounded domains. We propose new boundary conditions for the displacement.…
math.AP2025
Existence, uniqueness, and long-time asymptotic behavior of regular solutions in multidimensional thermoelasticity
Piotr Michał Bies, Tomasz Cieślak, Mario Fuest +3
We study a simplified nonlinear thermoelasticity model on two- and three-dimensional tori. A novel functional involving the Fisher information associated with temperature is introd…
math.AP2019
A priori estimates and theory of existence for parabolic equations in variable Hölder spaces
Piotr Michał Bies
We study parabolic equations in variable Hölder spaces on domains of Euclidean spaces. The existence and uniqueness of solutions is proved.