Skip to main content
SpringerLink
Log in

StrongL p-solutions of the Navier-Stokes equation inR m, with applications to weak solutions

  • Published:
Mathematische Zeitschrift 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. Giga, Y.: Regularity criteria for weak solutions of the Navier-Stokes system. Proc. AMS Summer Inst. 1983, to appear

  2. Kato, T., Fujita, H.: On the non-stationary Navier-Stokes system. Rend. Sem. Mat. Univ. Padova32, 243–260 (1962)

    Google Scholar 

  3. Leray, J.: Étude de diverses équations intégrales non linéaires et de quelques problèmes que pose l'Hydrodynamique. J. Math. Pures Appl.12, 1–82 (1933)

    Google Scholar 

  4. Leray, J.: Sur le mouvement d'un liquide visqueux emplissant l'espace. Acta Math.63, 193–248 (1934)

    Google Scholar 

  5. Serrin, J.: The initial value problem for the Navier-Stokes equation. Nonlinear Problems, Proc. Symp. MRC, Univ. Wisconsin, Madison, 1963, pp. 69–98

  6. Sohr, H., von Wahl, W.: On the singular set and the uniqueness of weak solutions of the Navier-Stokes equations. Sonderforschungsbereich 72 Approximation und Optimierung, Universität Bonn, Preprint series no. 635 (1984)

  7. Weissler, F.: The Navier-Stokes initial value problem inL p. Arch. Rational Mech. Anal.74, 219–230 (1980)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of California, 94720, Berkeley, California, USA

    Tosio Kato

Authors
  1. Tosio Kato
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Dedicated to Ralph S. Phillips

Partially supported by NSF Grant MCS-82-00171

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kato, T. StrongL p-solutions of the Navier-Stokes equation inR m, with applications to weak solutions. Math Z 187, 471–480 (1984). https://doi.org/10.1007/BF01174182

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01174182

Keywords

Search

Navigation