This paper is concerned with the study of the spatial behavior of the processes associated with a mixture consisting of three components: an elastic solid, a viscous fluid and a gas. An appropriate time-weighted surface power function is used in order to describe the spatial behavior of the processes in question. Spatial estimates of Saint–Venant type (for bounded bodies) and Phragmèn–Lindelöf type (for unbounded bodies) with time-dependent

This paper is concerned with the isothermal linear theory of swelling porous elastic soils. Initial-boundary value problems are formulated for the linear dynamic theory of an isothermal mixture consisting of three components: an elastic solid, a viscous fluid and a gas. Then the uniqueness and continuous dependence problems are discussed in connection with the solutions of such initial-boundary value problems. The uniqueness results are established

This paper concerns the study of time-harmonic vibrations for homogeneous and anisotropic thermoviscoelastic mixtures. The dissipative effects are used to introduce an appropriate measure associated with the amplitude of the steady-state vibrations and to establish an exponential decay estimate of Saint-Venant type, which holds for every value of the frequency of vibrations and for arbitrary values of the elastic coefficients.