Evolution of solutions for dipolar bodies in Thermoelasticity without energy dissipation

On Green and Naghdi Thermoelasticity Model without Energy Dissipation with Higher Order Time Differential and Phase-Lags

In the present work, a modified model of heat conduction including higher order of time derivative is derived by extending Green and Naghdi theory without energy dissipation. We introduce two phase lag times to include the thermal displacement gradient and the heat flux in the heat conduction and depict microscopic responses more precisely. The constructed model is applied to s...

The effect of magnetic field on 2-D problem of generalized thermoelasticity with energy dissipation

the effect of magnetic field on 2-d problem of generalized thermoelasticity with energy dissipation

Dianeutral Upwelling Without Dissipation of Kinetic Energy

Estimates of the upwelling of bottom and deep water have recently been used to deduce the magnitude of area-averaged mixing activity and the required dissipation of kinetic energy that is input by winds and tides. Here we raise questions about this link between upwelling and the dissipation of energy. Several processes are discussed, each of which lead to the upwelling of water across neutral d...

On temporal behaviour of solutions in Thermoelasticity of porous micropolar bodies

We consider a porous thermoelastic body, including voidage time derivative among the independent constitutive variables. For the initial boundary value problem of such materials, we analyze the temporal behaviour of the solutions. To this aim we use the Cesaro means for the components of energy and prove the asymptotic equipartition in mean of the kinetic and strain energies.