On the representations of solutions in the theory of fluid-saturated porous media
Merab Svanadze · The Quarterly Journal of Mechanics and Applied Mathematics · 2005
In the present paper the linear theory of the liquid-saturated porous medium consisting of a microscopically incompressible solid skeleton containing microscopically incompressible liquid is considered. First, the representation of Galerkin type solution of equations of motion is obtained. Then, the representation theorem of Galerkin type of system of the equations of steady oscillations is presented. Finally, the general solution of the system of homogeneous equations of the steady oscillations in terms of one harmonic function and four metaharmonic functions is established.