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

Tom 86 / 2009

Jan Prüss, Gieri Simonett Banach Center Publications 86 (2009), 265-285 MSC: 35R35, 35Q30, 76D45, 76T10. DOI: 10.4064/bc86-0-17

Streszczenie

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.

Autorzy

  • Jan PrüssInstitut für Mathematik
    Martin-Luther-Universität Halle-Wittenberg
    D-60120 Halle, Germany
    e-mail
  • Gieri SimonettDepartment of Mathematics
    Vanderbilt University
    Nashville, TN, U.S.A.
    e-mail

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