In this paper nonclassical dynamical model for thermoelastic bodies with three phase-lags is studied. Applying variational formulation of the general three-dimensional initial-boundary value problem existence and uniqueness of solution in suitable spaces is proved. Spectral algorithm of approximation of the three-dimensional initial-boundary value problem for thermoelastic shell by a sequence o...

The present study is concerned with the propagation of Lamb waves in a homogeneous isotropic thermoelastic micropolar solid with two temperatures bordered with layers or half spaces of inviscid liquid subjected to stress free boundary conditions. The generalized theory of thermoelasticity developed by Lord and Shulman has been used to investigate the problem. The secular equations for symmetric...

In this paper we consider the thermoelastic plate equation with localized thermal dissipation of memory type, proposed by Gurtin and Pipkin [3]. We will show that the solution of the corresponding model decays exponentially as time goes to infinity, provided the relaxation function decays exponentially. The mean difference with others thermoelastic system is that the whole system is of hyperbol...

Abstract We consider a one-dimensional Brownian search in the presence of trapping. The diffusion equation particle is represented by memory kernel that enters general waiting time probability density function. find form first arrival density, reliability and efficiency analyze several special cases kernel. also Lévy trapping single multiple targets, as well combined Lévy–Brownian strategies ca...

Abstract: The null controllability problem is considered for 2-D thermoelastic plates under hinged mechanical boundary conditions. The resulting partial differential equation system generates an analytic semigroup on the space of finite energy. Consequently, because the thermoelastic system is associated with an infinite speed of propagation, the null controllability question is a suitable one ...

In this paper, the vibration of microbeams due to a temperature pulse has been investigated. The thermoelastic coupled equations for microbeam resonator have been derived via the modified theory of couple stress in connection with the generalized thermoelasticity with relaxation time. The analytical expressions for studied fields due to modified couple stress for the microbeam have been obtaine...