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 Lp-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.
Cite this article
Gottfried Anger, Gieri Simonett, On the two-phase Navier–Stokes equations with surface tension. Interfaces Free Bound. 12 (2010), no. 3, pp. 311–345DOI 10.4171/IFB/237