arXiv subjects

Sandro B. Pinheiro

Publications and source records attributed to Sandro B. Pinheiro.

2 recordsLinked to original sources

arXiv2021

Exponential stability of Timoshenko-Gurtin-Pipkin systems with full thermal coupling

We analyze the stability properties of a linear thermoelastic Timoshenko-Gurtin-Pipkin system with thermal coupling acting on both the shear force and the bending moment. Under either the mixed Dirichlet-Neumann or else the full Dirichlet boundary conditions, we show that the associated solution semigroup in the history space framework of Dafermos is exponentially stable independently of the values of the structural parameters of the model.

math.AP↗

arXiv2021

A new perspective of exponential stability for Timoshenko systems under history and thermal effects

We address a Timoshenko system with memory in the history context and thermoelasticity of type III for heat conduction. Our main goal is to prove its uniform (exponential) stability by illustrating carefully the sensitivity of the heat and history couplings on the Timoshenko system. This investigation contrasts previous insights on the subject and promotes a new perspective with respect to the stability of the thermo-viscoelastic problem carried out, by combining the whole strength of history and thermal effects.

math.AP↗