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Similarity profiles of flows through porous media

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References

  1. Craven, A. H., & L. A. Peletier, Similarity solutions for degenerate quasi-linear parabolic equations. J. Math. Anal. and Appl. (to appear).

  2. Dunford, N., & J. T. Schwartz, Linear Operators I, p. 459. New York: Interscience Publishers, 1958.

    Google Scholar 

  3. Hartman, P., Ordinary Differential Equations. New York: Wiley 1964.

    Google Scholar 

  4. Muskat, M., The Flow of Homogeneous Fluids Through Porous Media. New York: McGraw-Hill, 1937.

    Google Scholar 

  5. Oleinik, O. A., A. S. Kalashnikov, & Chzhou Yui-Lin, The Cauchy problem and boundary problems for equations of the type of nonstationary filtration. Izv. Akad. Nauk. SSSR, Ser. Mat. 22, 667–704 (1958).

    Google Scholar 

  6. Peletder, L. A., Asymptotic behaviour of temperature profiles of a class of non-linear heat conduction problems. Quart. J. Mech. and Appl. Math. 23, 441–447 (1970).

    Google Scholar 

  7. Peletier, L. A., Asymptotic behaviour of solutions of the porous media equation. SIAM J. Applied Math. (to appear).

  8. Serrin, J., Asymptotic behaviour of velocity profiles in the Prandtl boundary layer theory. Proc. Roy. Soc. A299, 491–507 (1967).

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Toronto, Toronto, Ontario, Canada

    F. V. Atkinson & L. A. Peletier

  2. School of Mathematics, University of Minnesota, Minneapolis, Minnesota, USA

    F. V. Atkinson & L. A. Peletier

  3. Mathematics Division, University of Sussex, Brighton, England

    F. V. Atkinson & L. A. Peletier

Authors
  1. F. V. Atkinson
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  2. L. A. Peletier
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Additional information

Communicated by J. Serrin

This research was supported in part by the Office of Naval Research under Contract No. N00014-67-A-0113-0022.

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Atkinson, F.V., Peletier, L.A. Similarity profiles of flows through porous media. Arch. Rational Mech. Anal. 42, 369–379 (1971). https://doi.org/10.1007/BF00250442

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