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

Banach Center Publications (2009)

- Volume: 86, Issue: 1, page 265-285
- ISSN: 0137-6934

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topJan 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 -

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