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.
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Davydkin, I.B., Monakhov, V.N. Free-Boundary Problems for Nonlinear Models of Fluid Filtration in Inhomogeneous Porous Media. Journal of Applied Mechanics and Technical Physics 44, 814–820 (2003). https://doi.org/10.1023/A:1026235720945
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DOI: https://doi.org/10.1023/A:1026235720945