On the two-phase Navier-Stokes equations with surface tension
Analysis of PDEs
2016-12-20 v1
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 -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
@article{arxiv.0908.3327,
title = {On the two-phase Navier-Stokes equations with surface tension},
author = {Jan Pruess and Gieri Simonett},
journal= {arXiv preprint arXiv:0908.3327},
year = {2016}
}
Comments
34 pages