Moore-Gibson-Thompson theory for thermoelastic dielectrics

Chaotic Behaviour of the Solutions of the Moore-Gibson- Thompson Equation

We study a third-order partial differential equation in the form τuttt +αutt −cuxx −buxxt = 0, (1) that corresponds to the one-dimensional version of the Moore-Gibson-Thompson equation arising in high-intensity ultrasound and linear vibrations of elastic structures. In contrast with the current literature on the subject, we show that when the critical parameter γ := α − τc2 b is negative, the e...

Exponential decay for low and higher energies in the third order linear Moore-Gibson-Thompson equation with variable viscosity

We consider the Moore-Gibson-Thompson equation which arises, e.g., as a linearization of a model for wave propagation in viscous thermally relaxing fluids. This third order in time equation displays, even in the linear version, a variety of dynamical behaviors for their solutions that depend on the physical parameters in the equation. These range from non-existence [3] and instability to expone...

A Mixture Theory for Micropolar Thermoelastic Solids

A Theory of Thermoviscoelastic Dielectrics

Thermoelastic Stress Analysis for Linear Thermoelastic Bodies

The thermoelastic stress analysis for linear thermoelastic bodies is developed as a mathematical support to the infra-red radiometric method (SPATE) applied to structures under cyclic loading conditions.