4 problems

The classical thermoelastic system is a hyperbolic-parabolic coupled system whose large-time asymptotic profiles can be studied using methods for third-order-in-time evolution equa…

Consider the one-dimensional thermoelastic Cauchy problem for the elastic displacement $u=u(t,x)$ and temperature difference $\theta=\theta(t,x)$: … where $\alpha>0$, $\kappa>0$, a…

The paper considers lower estimates for the energy decay of the nonlinearly damped Timoshenko system with thermoelasticity. Optimality conjecture. Driving these lower estimates sho…

Consider the thermoelastic system with $h\equiv h(\infty)$ and $a\equiv 0$, nonzero initial histories, and a memory kernel $k$ whose growth around the origin is suitably controlled…