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Boundary layer analysis of the wide capillary tube

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References

  1. Bogoliubov, N. N., & Y. A. Mitropolski, Asymptotic Methods in the Theory of Nonlinear Osculations. India: Hindustan Publishing Co. 1961 (English translation).

    Google Scholar 

  2. Johnson, W. E., & L. M. Perko, Interior and exterior boundary value problems for the theory of the capillary tube. Arch. Rational Mech. and Anal. 29, 125–143 (1968).

    Google Scholar 

  3. Laplace, M., Traité de Mécanique Céleste, 4th Vol., Supplement to Book V, 349–495. Paris: Gauthier-Villars 1805.

    Google Scholar 

  4. Perko, L. M., A method of error estimation for singular perturbation problems with application to the restricted three body problem. S.I.A.M. J. Appl. Math. 15, 738–753 (1967).

    Google Scholar 

  5. Perko, L. M., Higher order averaging and related methods for perturbed periodic and quasi-periodic systems. S.I.A.M. J. Appl. Math. 17, 698–724 (1969).

    Google Scholar 

  6. Lord Rayleigh, On the theory of the capillary tube. Proc. Roy. Soc. London, Ser. A 92, 184–195 (1915).

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Northern Arizona University, Flagstaff

    L. M. Perko

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  1. L. M. Perko
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Communicated by J. Serrin

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Perko, L.M. Boundary layer analysis of the wide capillary tube. Arch. Rational Mech. Anal. 45, 120–133 (1972). https://doi.org/10.1007/BF00253041

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  • DOI: https://doi.org/10.1007/BF00253041

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