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Non-local parabolic systems: applications in the three-phase capillary fluid filtration
Published online by Cambridge University Press: 21 October 2005
Abstract
Non-local degenerate parabolic systems arise in three-phase capillary flows in porous media under a pressure control at the inflow- and outflow-boundaries. A mathematical study of such systems is performed for a class of capillarity pressure functions corresponding to triangular capillarity-diffusion tensors. To this end a theory of non-degenerate parabolic approximations is developed: the unique global solvability of initial boundary-value problems is proved.
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- 2005 Cambridge University Press
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