This book surveys significant modern contributions to the mathematical theories of
generalized heat wave equations. The first three chapters form a comprehensive survey of …

These lectures are an outgrowth of recent research in the area of control theory for systems
governed by coupled partial differential equations (PDEs). While mathematical control …

The article is concerned with a linear theory for elastic materials with inner structure whose
particles, in addition to the classical displacement and temperature fields, possess …

This paper concerns the one-dimensional problem of the porous-thermo-elasticity. Two
kinds of dissipation process are considered: the viscosity type in the porous structure and …

We consider linear and non‐linear thermoelastic systems in one space dimension where
thermal disturbances are modelled propagating as wave‐like pulses travelling at finite …

This monograph is devoted to the global existence, uniqueness and asymptotic behaviour of
smooth solutions to both initial value problems and initial boundary value problems for …

We consider a nonlinear coupled system of evolution equations, the simplest of which
models a thermoelastic plate. Smoothing and decay properties of solutions are investigated …

In this paper, we consider a one-dimensional dissipative system of piezoelectric beams with
magnetic effect, inspired by the model studied by Morris and Özer (Proc. of 52nd IEEE …

In this paper, we consider a wave equation with a strong damping and a strong constant
(respectively, distributed) delay. We prove the well-posedness and establish an exponential …

In this paper, we study the well-posedness and asymptotic stability to a thermoelastic
laminated beam with nonlinear weights and time-varying delay. To the best of our …