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Stabilization of solutions of the nonlinear equation of filtration of a two-phase liquid

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Abstract

The asymptotic behavior (with unlimited increase in time) of solutions of boundary-value problems for the filtration equation for a two-phase liquid that describe the displacement of immiscible incompressible liquids from a bed is studied. Convergence of these solutions to the unique solution of the steady problem (stabilization) is established, and, under additional assumptions, the rate of convergence is evaluated.

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References

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Authors
  1. N. V. Khusnutdinova
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Additional information

Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40, No. 3, pp. 30–36, May–JJune, 1999.

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Khusnutdinova, N.V. Stabilization of solutions of the nonlinear equation of filtration of a two-phase liquid. J Appl Mech Tech Phys 40, 386–392 (1999). https://doi.org/10.1007/BF02468391

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  • DOI: https://doi.org/10.1007/BF02468391

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