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.
1
Martin-Luther-Universität Halle-Wittenberg, Germany
2
Vanderbilt University, Nashville, United States
Jan Prüss; Gieri Simonett. On the two-phase Navier–Stokes equations with surface tension. Interfaces and free boundaries, Tome 12 (2010) no. 3, pp. 311-345. doi: 10.4171/ifb/237
@article{10_4171_ifb_237,
author = {Jan Pr\"uss and Gieri Simonett},
title = {On the two-phase {Navier{\textendash}Stokes} equations with surface tension},
journal = {Interfaces and free boundaries},
pages = {311--345},
year = {2010},
volume = {12},
number = {3},
doi = {10.4171/ifb/237},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/237/}
}
TY - JOUR
AU - Jan Prüss
AU - Gieri Simonett
TI - On the two-phase Navier–Stokes equations with surface tension
JO - Interfaces and free boundaries
PY - 2010
SP - 311
EP - 345
VL - 12
IS - 3
UR - http://geodesic.mathdoc.fr/articles/10.4171/ifb/237/
DO - 10.4171/ifb/237
ID - 10_4171_ifb_237
ER -
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%A Gieri Simonett
%T On the two-phase Navier–Stokes equations with surface tension
%J Interfaces and free boundaries
%D 2010
%P 311-345
%V 12
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4171/ifb/237/
%R 10.4171/ifb/237
%F 10_4171_ifb_237
