Skip to main content
Log in

On initial value problems for the flow in a thin sheet of viscous liquid

  • Brief Reports
  • Published:
Zeitschrift für angewandte Mathematik und Physik ZAMP Aims and scope Submit manuscript

Résumé

Une couche mince d'un liquide visqueux coule sur un plan horizontal. On établit l'équation différentielle, qui est non-linéaire pour ce mouvement. Pour le cas d'une concentration initiale du liquide à l'origine, nous calculons le développement de la forme de la surface libre. En outre, une solution de similitude est determinée.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. C. C. Mei, J. Math. Phys.45, 266–288 (1966).

    Google Scholar 

  2. W. F. Ames,Nonlinear Partial Differential Equations in Engineering (Academic Press, New York 1965).

    Google Scholar 

  3. R. E. Pattle, Quart. J. Mech. appl. Math.12, 407–409 (1959).

    Google Scholar 

  4. R. E. Kidder, J. appl. Mech.24, 329–332 (1957).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Smith, S.H. On initial value problems for the flow in a thin sheet of viscous liquid. Journal of Applied Mathematics and Physics (ZAMP) 20, 556–560 (1969). https://doi.org/10.1007/BF01595050

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01595050

Keywords

Navigation