Well-posedness and stability of a generalized micropolar thermoelastic body with infinite memory

TL;DR

This paper investigates the mathematical well-posedness and stability of a thermoelastic Cosserat medium with infinite memory, providing theoretical insights into the behavior of such complex continuum models.

Contribution

It establishes conditions for well-posedness and stability of a generalized micropolar thermoelastic body with infinite memory, extending existing models.

Findings

Proved well-posedness of the system under certain conditions.

Derived stability criteria for the thermoelastic Cosserat medium.

Extended classical models to include infinite memory effects.

Abstract

We study in this paper the well-posedness and stability of a linear system of a thermoelastic Cosserat medium with infinite memory, where the Cosserat medium is a continuum in which each point has the degrees of freedom of a rigid body.