Skip to main content
Log in

Über ein Stabilitätskriterium der hydrodynamik

  • Published:
Archive for Rational Mechanics and Analysis Aims and scope Submit manuscript

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.

Literatur

  1. Serrin, J.: On the stability of viscous fluid motions. Arch. Rational Mech. Anal. 3, 1–13 (1960).

    Google Scholar 

  2. Weinstein, A.: Étude des spectres des équations aux dérivées partielles de la théorie des plaques élastiques. Mémorial des Sci. Math. Paris, Fasc. No. 88, 1937.

  3. Courant, R., u. D. Hilbert: Methoden der mathematischen Physik, 2. Aufl., Bd. II. Berlin: Springer 1931.

    Google Scholar 

  4. Reynolds, O.: On the dynamical theory of incompressible viscous fluids and the determination of the criterion. Phil. Trans. Roy. Soc. London A 186, 123–164 (1895). Scientific Pypers II, pp. 535–577.

    Google Scholar 

  5. Orr, W. McF.: The stability or instability of the steady motions of a liquid. Part II: A viscous liquid. Proc. Roy. Irish Acad. A 27, 69–137 (1907).

    Google Scholar 

  6. Leray, J.: Essai sur les mouvements plans d'un liquide visqueux que limitent des parois. J. Math. Pures Appl. (9) 13, 331–418 (1934).

    Google Scholar 

  7. Kampé de Feriét, J.: Sur la decroissance de l'énergie cinétique d'un fluide visqueux incompressible occupant un domaine borné ayant pour frontière des parois solides fixes. Ann. Soc. Sci. Bruxelles 63, 35–46 (1949).

    Google Scholar 

  8. Berker, R.: Inégalité vérifiée par l'énergie cinétique d'un fluide visqueux incompressible occupant un domaine spatial borné. Bull. Tech. Univ. Istanbul 2, 41–50 (1949).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Vorgelegt von H. Görtler

Rights and permissions

Reprints and permissions

About this article

Cite this article

Velte, W. Über ein Stabilitätskriterium der hydrodynamik. Arch. Rational Mech. Anal. 9, 9–20 (1962). https://doi.org/10.1007/BF00253330

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00253330

Navigation