Analysis of the boundary symbol for the two-phase Navier-Stokes equations with surface tension

Jan Prüss, and Gieri Simonett. "Analysis of the boundary symbol for the two-phase Navier-Stokes equations with surface tension." Banach Center Publications 86.1 (2009): 265-285. <http://eudml.org/doc/282503>.

@article{JanPrüss2009,
abstract = {The two-phase free boundary value problem for the Navier-Stokes system is considered in a situation where the initial interface is close to a halfplane. We extract the boundary symbol which is crucial for the dynamics of the free boundary and present an analysis of this symbol. Of particular interest are its singularities and zeros which lead to refined mapping properties of the corresponding operator.},
author = {Jan Prüss, Gieri Simonett},
journal = {Banach Center Publications},
keywords = {Navier–Stokes equations; surface tension; boundary symbol; fundamental solution},
language = {eng},
number = {1},
pages = {265-285},
title = {Analysis of the boundary symbol for the two-phase Navier-Stokes equations with surface tension},
url = {http://eudml.org/doc/282503},
volume = {86},
year = {2009},
}

TY - JOUR
AU - Jan Prüss
AU - Gieri Simonett
TI - Analysis of the boundary symbol for the two-phase Navier-Stokes equations with surface tension
JO - Banach Center Publications
PY - 2009
VL - 86
IS - 1
SP - 265
EP - 285
AB - The two-phase free boundary value problem for the Navier-Stokes system is considered in a situation where the initial interface is close to a halfplane. We extract the boundary symbol which is crucial for the dynamics of the free boundary and present an analysis of this symbol. Of particular interest are its singularities and zeros which lead to refined mapping properties of the corresponding operator.
LA - eng
KW - Navier–Stokes equations; surface tension; boundary symbol; fundamental solution
UR - http://eudml.org/doc/282503
ER -