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

• Autorzy: Jan Prüss , Gieri Simonett
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 76T10: Liquid-gas two-phase flows, bubbly flows
• 35R35: Free boundary problems
• 76D45: Capillarity (surface tension)
• 35Q30: Navier-Stokes equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2009
• Tom: 86
• Numer: 1
• Strony: 265-285

Daty

wydano

2009

Twórcy

autor

Jan Prüss

• Institut für Mathematik, Martin-Luther-Universität Halle-Wittenberg, D-60120 Halle, Germany

autor

Gieri Simonett

• Department of Mathematics, Vanderbilt University, Nashville, TN, U.S.A.

Identyfikatory

DOI

10.4064/bc86-0-17