A free boundary problem for a fluid flow in a heterogeneous porous medium |
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Authors: | A Lyaghfouri |
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Institution: | (1) Present address: Mathematical Sciences Department, King Fahd University of Petroleum and Minerals, 31261 Dhahran, Saudi Arabia |
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Abstract: | In this paper we study the problem of seepage of a fluid through a porous medium, assuming the flow governed by a nonlinear Darcy law and nonlinear leaky boundary conditions. We prove the continuity of the free boundary and the existence and uniqueness of minimal and maximal solutions. We also prove the uniqueness of theS 3-connected solution in various situations. |
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Keywords: | Dam Problem Nonlinear Darcy's law Nonlinear Leaky Boundary Conditions Free Boundary |
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