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The nonstationary Bernoulli problem with fixed boundary

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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.

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Authors and Affiliations

  1. Mathematisches Institut, Universität zu Köln, Weyertal 86 – 90, D-50931 Köln, Germany, Germany

    Alfred Wagner

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  1. Alfred Wagner
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Received: 3.2.1998

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Wagner, A. The nonstationary Bernoulli problem with fixed boundary. Arch. Math. 73, 56–63 (1999). https://doi.org/10.1007/s000130050020

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  • DOI: https://doi.org/10.1007/s000130050020

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