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An existence theorem for a problem in oil recovery. (English) Zbl 0886.76091

Summary: An existence theorem is given for a stability problem arising from the secondary oil recovery using the displacement by a polymer solute. The problem is reduced to a Sturm-Liouville system with eigenvalue appearing in the boundary conditions. We obtain, in the first approximation, a growth constant which agrees with formulas known from the literature.

MSC:

76S05 Flows in porous media; filtration; seepage
35Q35 PDEs in connection with fluid mechanics
86A20 Potentials, prospecting
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