Analysis of a non-hyperbolic system modelling two-phase fluid flows: the effects of surface tension

The paper considers a system of partial differential equations of convection dispersion type, modelling a stratified two-phase fluid flow. Local existence in time is proved for a sufficiently smooth initial data, given in the set of physically admissible states. © 1998 B. G. Teubner Stuttgart—John Wiley & Sons, Ltd.