On the free boundary problem for stationary compressible Navier-Stokes equations
The existence of rotationally symmetric solutions to a stationary free boundary value problem for the motion of a drop of a viscous compressible barotropic fluid is shown. An a priori estimate leads to the proof of the existence of Sobolev space solutions to a Navier-Stokes system in a prescribed domain. In a second step the existence of a free boundary for given velocity and pressure is found in Sobolev-Slobodetskii spaces.
scientific article; zbMATH DE number 4177746
scientific article