On the two-phase Navier-Stokes equations with surface tension (Q605503)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the two-phase Navier-Stokes equations with surface tension |
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On the two-phase Navier-Stokes equations with surface tension (English)
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24 November 2010
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Summary: The two-phase free boundary problem for the Navier-Stokes system is considered in a situation where the initial interface is close to a halfplane. By means of \(L_p\)-maximal regularity of the underlying linear problem we show local well-posedness of the problem, and prove that the solution, in particular the interface, becomes instantaneously real analytic.
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Navier-Stokes equations
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surface tension
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well-posedness
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analyticity
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