On the free boundary problem for stationary compressible Navier-Stokes equations (Q752333)
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scientific article; zbMATH DE number 4177746
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the free boundary problem for stationary compressible Navier-Stokes equations |
scientific article; zbMATH DE number 4177746 |
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On the free boundary problem for stationary compressible Navier-Stokes equations (English)
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1990
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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.
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viscous compressible barotropic fluid
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