ON LOCAL L-p-L-q WELL-POSEDNESS OF INCOMPRESSIBLE TWO-PHASE FLOWS WITH PHASE TRANSITIONS: NON-EQUAL DENSITIES WITH LARGE INITIAL DATA

摘要

A basic model for incompressible two-phase flows with phase transitions where the interface is nearly flat in the case of non-equal densities is considered. Local well-posedness of the model in L-p in a time setting L-q in a space setting was proved in 30 under a smallness assumption for the initial data. In this paper, we remove the smallness assumption for the initial data.