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On the spatial behavior in the theory of swelling porous elastic soils. (English) Zbl 1032.74022

Summary: We study of spatial behavior of 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 processes in question. Spatial estimates of Saint-Venant type (for bounded bodies) and of Phragmén-Lindelöf type (for unbounded bodies) with time-dependent and time-independent rates are established. For unbounded bodies, the asymptotic spatial behavior is also studied by means of an appropriate volumetric measure.

MSC:

74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
74G10 Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics
74L10 Soil and rock mechanics
76S05 Flows in porous media; filtration; seepage
35Q72 Other PDE from mechanics (MSC2000)
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