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Equilibrium shape of a cavity bounded by an elastic film in a homogeneous flow of a liquid

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Literature cited

  1. N. N. Moiseev, “The flow of a heavy liquid over a corrugated bed,” Prikl. Matem. i Mekhan.,21, No. 1 (1957).

  2. L. Lichtenstein, Vorlesungen uber nichtlinearen Integral und Integrodifferenzialgleichungen, Berlin (1931).

  3. E. B. McLeod, Jr., “The explicit solution of a free boundary problem involving surface tension,” J. Rational Mechanics and Analysis,4, No. 4, 557–567 (1955).

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Authors and Affiliations

  1. Moscow

    S. I. Petrova

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  1. S. I. Petrova
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 120–127, January–February, 1971.

In conclusion, the author thanks N. N. Moiseev and A. A. Petrova for valuable advice provided during the performance of the work.

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Petrova, S.I. Equilibrium shape of a cavity bounded by an elastic film in a homogeneous flow of a liquid. Fluid Dyn 6, 104–110 (1971). https://doi.org/10.1007/BF01045914

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