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The problem of double impact on a microbubble: Analytic aspects of control of a dynamic gas bubble

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Abstract

We analyze the solution of the problem of control of a dynamic gas microbubble in an incompressible fluid. We construct the optimal procedure for impact-resonance shaking of the bubble, taking the oscillation process to the maximum possible amplitude of the radius.

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Literature Cited

  1. A. D. Pernik,Problems of Cavitation [in Russian], Sudostroenie, Leningrad (1966).

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  2. A. I. Ryazanov, “On a mathematical problem of dynamics of a gas microbubble in an incompressible flud”,Mat. Met. Fiz.-mekh. Polya, No. 32, 95–98 (1990).

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Authors
  1. A. I. Ryazanov
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Additional information

Translated fromMatematichni Metodi ta Fiziko-mekhanichni Polya, Vol. 39, No. 1, 1996, pp. 152–155.

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Ryazanov, A.I. The problem of double impact on a microbubble: Analytic aspects of control of a dynamic gas bubble. J Math Sci 86, 2653–2655 (1997). https://doi.org/10.1007/BF02356116

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  • DOI: https://doi.org/10.1007/BF02356116

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