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Integral representations in hydrodynamics

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Summary

In this paper, general integral representations are obtained for the unknown velocity field of the Stokes equations for both bounded and unbounded domains. These representations lead to some interesting results including the well-known uniqueness property of the so-called exterior Stokes problem.

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References

  1. Ramkissoon, H.: Representations in hydrodynamics. Acta Mech.28, 49–53 (1977).

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  2. Lamb, H.: Hydrodynamics, 6th ed., p. 606. London: Cambridge Univ. Press 1974.

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  3. Kupradze, V. D.: Potential methods in the theory of elasticity, p. 49. Jerusalem: Israel Program for Scientific Translations 1965.

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  4. Finn, R., Noll, W.: On the uniqueness and non-existence of Stokes flows. Arch. Rational Mech. Anal.1, 97–106 (1957).

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Authors and Affiliations

  1. Department of Mathematics, University of the West Indies, St. Augustine, Trinidad West Indies

    H. Ramkissoon

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  1. H. Ramkissoon
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Ramkissoon, H. Integral representations in hydrodynamics. Acta Mechanica 50, 119–125 (1983). https://doi.org/10.1007/BF01170445

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  • DOI: https://doi.org/10.1007/BF01170445

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