Global Well-posedness of Compressible Viscous Surface Waves without
Surface Tension
Global Well-posedness of Compressible Viscous Surface Waves without
Surface Tension
We consider the free boundary problem for a layer of compressible viscous barotropic fluid lying above a fixed rigid bottom and below the atmosphere of positive constant pressure. The fluid dynamics is governed by the compressible Navier--Stokes equations with gravity, and the effect of surface tension is neglected on the …