Global well-posedness and large time behavior of classical solutions to a generic compressible two-fluid model

2023.12.11 14:00  腾讯会议392-632-623

In this work, under some smallness assumptions, we establish the globa well-posedness and large time behavior with constant viscosity coefficients and the common pressure. Particularly, our results show that even if both the capillary pressure effects and the internal capillary forces effects are absence, viscosity forces are strong enough to prevent the formation of singularities for the model in question. Furthermore, the components of the solution exhibit totally distinctive behaviors: the dissipation variables have decay rates in time, but the non-dissipation variables only have uniform time-independent bounds.