I. B. Davydkin, V. N. Monakhov, “Free-boundary problems for nonlinear models of fluid filtration in inhomogeneous porous media”, Prikl. Mekh. Tekh. Fiz., 2003, Volume 44, Issue 6,Pages <nobr>76

Free-boundary problems for nonlinear models of fluid filtration in inhomogeneous porous media

I. B. Davydkin^a, V. N. Monakhov^b

^a Gorno-Altaisk State University, Gorno-Altaisk, 659700
^b Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090

Abstract: Existence theorems are proved for solutions of problems of nonlinear gravity fluid filtration in regions with specified boundaries of complex geometry. The theory developed can be used to design the underground flow net of a hydraulic structure with specified filtration characteristics.

Keywords: nonlinear filtration, free boundary, simple polygon, existence theorem.

UDC: 517.958.532

Received: 04.03.2003