Elastic wave propagation in fluid-saturated porous media. I. The existence and uniqueness theorems. (English) Zbl 0616.76104

The existence and uniqueness theorem for Biot’s dynamic equations, describing elastic wave propagation in a system composed of a bounded solid saturated by a compressible viscous fluid is proved, using in a classical manner the Galerkin method.
Reviewer: G.Pasa


76S05 Flows in porous media; filtration; seepage
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
76T99 Multiphase and multicomponent flows
76M99 Basic methods in fluid mechanics


Zbl 0616.76105
Full Text: DOI EuDML


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