On the free boundary problem for stationary compressible Navier-Stokes equations
Copyright policy )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.
- Polish Academy of Sciences Poland
- Institute of Mathematics Poland
- Polish Academy of Learning Poland
viscous compressible barotropic fluid, 35Q30, Free boundary problems for PDEs, Existence of generalized solutions of PDE, 76N10, Navier-Stokes equations, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics, 35R35
viscous compressible barotropic fluid, 35Q30, Free boundary problems for PDEs, Existence of generalized solutions of PDE, 76N10, Navier-Stokes equations, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics, 35R35
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