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arXiv · 0908.3327

On the two-phase Navier-Stokes equations with surface tension

Jan Pruess·Gieri Simonett
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Abstract

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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Jan Pruess, Gieri Simonett. 2009-08-23. On the two-phase Navier-Stokes equations with surface tension. https://arxiv.org/abs/0908.3327

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