"A maximum principle for multiphase flow models"
Novikov K.A.

Two maximum principles for several multi-phase flow models are formulated and proved. The first one is valid for phase saturations in an incompressible two-phase flow model with constant viscosities. The second one is valid for the global pressure in two- and three-phase flow models with constant viscosities and is also valid for phase pressures in the case of zero capillary pressure.

Keywords: maximum principle, multi-phase flow, black oil model.

  • Novikov K.A. – Institute of Numerical Mathematics, Russian Academy of Sciences; ulitsa Gubkina 8, Moscow, 119333, Russia; Junior Scientist, e-mail: konst.novikov@gmail.com