Abstract
The paper discusses the physical basis of the process of filtration of water in a case of very low velocities and presents the mathematical model of the process, based on a new constitutive formula, The existence and uniqueness of a weak solution to the resulting nonhomogeneous initial boundary-value problem is then proven.
References
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[5] H. Gajewski, K. Groger, K. Zacharias. Nichtlineare Opemtorgleichungen und Opemtordifferentialgleichungen [Russian translation) . Akad. VerI. Berlin, 1974.
[2] J . Bear. Dynamics of Fluids in Porous Media. Elsevier, New York, 1972.
[3] R.N. Chowdury. Ground water flow obeying non-Darcy laws. Wolloungong Univ. 3: 13- 22, 1974.
[4] W. Van Engelhardt, W.L.M. Tun. The flow of fluids through sandstones. Illinois State Geol. Survey Cire 195, 1955.
[5] H. Gajewski, K. Groger, K. Zacharias. Nichtlineare Opemtorgleichungen und Opemtordifferentialgleichungen [Russian translation) . Akad. VerI. Berlin, 1974.
