Free boundary value problems for the stationary Navier-Stokes equations in domains with noncompact boundaries (Q686394)
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scientific article; zbMATH DE number 428222
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Free boundary value problems for the stationary Navier-Stokes equations in domains with noncompact boundaries |
scientific article; zbMATH DE number 428222 |
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Free boundary value problems for the stationary Navier-Stokes equations in domains with noncompact boundaries (English)
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20 October 1993
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Summary: A free boundary problem for an incompressible viscous fluid in a domain with noncompact boundaries is considered; the upper boundary is to be determined by equilibrium conditions involving the fluid stress tensor and its surface tension. It is proved that if the data of the problem are regular, then the free boundary, the velocity vector and the pressure are regular. Furthermore, the exponential decay of the solution is shown.
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regularity
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equilibrium conditions
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fluid stress tensor
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surface tension
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exponential decay of the solution
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