Skip to main content
SpringerLink
Log in

On the stability of solutions of the Navier-Stokes equations backward in time

  • 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

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Agmon, S., Unicité et convexité dans les problèmes différentiels. Sem. Math. Sup. (1965), Univ. Montreal Press 1966.

  2. Agmon, S., & L. Nirenberg, Lower bounds and uniqueness theorems for solutions of differential equations in Hubert space. Comm. Pure Appl. Math. 20, 207–229 (1967).

    Google Scholar 

  3. Kampe de Feriet, J., Sur la décroissance de l'énergie cinétique d'un fluide visqueux incompressible occupant un domaine borné ayant pout frontière des parois solides fixes. Ann. Soc. Sci. Bruxelles 63, 36–45 (1949).

    Google Scholar 

  4. Lavrentiev, M. M., Some Improperly Posed Problems of Mathematical Physics. Springer Tracts in Natural Philosophy, Volume II (1967).

  5. Payne, L.E., On Some Non-Well Posed Problems for Partial Differential Equations. Numerical Solutions of Non-linear Differential Equations, pp. 239–263. John Wiley & Sons, Inc. 1964.

  6. Serrin, J., Mathematical Principles of Classical Fluid Mechanics. Encyclopedia of Physics, Vol. VIII, 11. Springer 1959.

    Google Scholar 

  7. Serrin, J., The initial value problem for the Navier-Stokes equations. Proc. Symp. Non-linear Problems, U. of Wisconsin (1963), pp. 69–98.

Download references

Author information

Authors and Affiliations

  1. The University, Newcastle upon Tyne

    R. J. Knops & L. E. Payne

  2. Cornell University, Ithaca, New York

    R. J. Knops & L. E. Payne

Authors
  1. R. J. Knops
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. L. E. Payne
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by J. Serrin

Rights and permissions

Reprints and permissions

About this article

Cite this article

Knops, R.J., Payne, L.E. On the stability of solutions of the Navier-Stokes equations backward in time. Arch. Rational Mech. Anal. 29, 331–335 (1968). https://doi.org/10.1007/BF00283897

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00283897

Keywords

Search

Navigation