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Archiv der Mathematik

, Volume 73, Issue 1, pp 56–63 | Cite as

The nonstationary Bernoulli problem with fixed boundary

  • Alfred Wagner
Article
  • 48 Downloads

Abstract.

We consider a two dimensional free boundary problem for an inviscid, incompressible and irrotational fluid. Imbedded in the fluid is a gas bubble of prescribed shape. Given some initial configuration we investigate the long time evolution of the potential flow. We prove existence, uniqueness and regularity of a solution.

Keywords

Time Evolution Free Boundary Boundary Problem Initial Configuration Potential Flow 

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Copyright information

© Birkhäuser Verlag, Basel 1999

Authors and Affiliations

  • Alfred Wagner
    • 1
  1. 1.Mathematisches Institut, Universität zu Köln, Weyertal 86 – 90, D-50931 Köln, GermanyGermany

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