| 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.
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. |
