Skip to main content

The steady navier-stokes problem for low reynolds number viscous jets into a half space

  • Problems In Unbounded Domains
  • Conference paper
  • First Online:
The Navier-Stokes Equations II — Theory and Numerical Methods

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1530))

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. L. Cattabriga, Sun un problema al contorno relativo al sistema di equazioni di Stokes, Rend. Sem. Mat. Univ. Padova31(1961), 308–340.

    MathSciNet  MATH  Google Scholar 

  2. R. Courant & D. Hilbert, Method of Mathematical Physics Volume II Interscience, New York, 1962.

    MATH  Google Scholar 

  3. R. Finn, On the steady state solutions of the Navier-Stokes equations III, Acta Math.105(1961), 197–244.

    Article  MathSciNet  MATH  Google Scholar 

  4. R. Finn, On the exterior stationary solution of the Navier-Stokes equations, and associated perturbation problems, Arch. Rat. Mech. Anal.19(1965), 363–406.

    Article  MathSciNet  MATH  Google Scholar 

  5. H. Fujita, On the existence and regularity of the steady-state solutions of the Navier-Stokes equations, J. Fac. Sci. Univ. Tokyo, Sec. I A Math9(1961), 59–102.

    MATH  Google Scholar 

  6. J.G. Heywood, On uniqueness questions in the theory of viscous flow, Acta Math.136(1976), 61–102.

    Article  MathSciNet  MATH  Google Scholar 

  7. J.G. Heywood, The Navier-Stokes equations: On the existence, regularity and decay of solutions, Indiana Univ. Math. J.29(1980), 639–681.

    Article  MathSciNet  MATH  Google Scholar 

  8. L.V. Kapitanskii & K.I. Piletskas, On spaces of solenoidal vector fields and boundary value problems for the Navier-Stokes equations in domains with noncompact boundaries, Proc. Steklov Inst. Math.Issue 2(1984), 3–34.

    Google Scholar 

  9. O.A. Ladyzhenskaya, The Mathematical Theory of Viscous Incompressible Flow, Second Edition, Gordon and Breach, New York, 1969.

    MATH  Google Scholar 

  10. J. Leray, Étude de diverse équations intégrales non linéaires et de quelques problémes que pose l'hydrodynamique, J. Math. Pures Appl.12(1933), 1–82.

    MathSciNet  MATH  Google Scholar 

  11. F.K.G. Odqvist, Die Randwertaufgaben der Hydrodynamik zäher Flüssigkeiten, Stockholm: P.A.Norstedt & Söner 1928, see also Math. Z.32(1930), 329–375.

    Google Scholar 

  12. V.A. Solonnikov, On differential properties of the solutions of the first boundary-value problem for nonstationary systems of Navier-Stokes equations, Trudy. Mat. Inst. Steklov, 73(1964), 221–191.

    MathSciNet  Google Scholar 

  13. V.A. Solonnikov, On Green's matrices for elliptic boundary value problems I Proc. Steklov Inst. Math.110(1970), 123–170

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

John G. Heywood Kyûya Masuda Reimund Rautmann Vsevolod A. Solonnikov

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer-Verlag

About this paper

Cite this paper

Chang, H. (1992). The steady navier-stokes problem for low reynolds number viscous jets into a half space. In: Heywood, J.G., Masuda, K., Rautmann, R., Solonnikov, V.A. (eds) The Navier-Stokes Equations II — Theory and Numerical Methods. Lecture Notes in Mathematics, vol 1530. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090335

Download citation

  • DOI: https://doi.org/10.1007/BFb0090335

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56261-0

  • Online ISBN: 978-3-540-47498-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics