Skip to main content

Heat-conducting fluids with free surface in the case of slip-condition on the walls

  • Free Boundary Problems
  • 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. Kondratjev, V.A.: Boundary value problems for elliptic equations in domains with conical and regular points.-Trudy Moskov. Mat. Obsc. 16(1967), 209–292 (in Russian).

    MathSciNet  Google Scholar 

  2. Kröner, D.: Asymptotische Entwicklungen von Flüssigkeiten mit freiem Rand und dynamischem Kontaktwinkel.-Preprint no. 806(1986), SFB 72, Universität Bonn.

    Google Scholar 

  3. Lagunova, M.V.: On solvability of the plane problem of thermo-capillary convektion.-Probl. Mat. Ana. 10(1986), 33–47(in Russian), Leningrad State university.

    MathSciNet  MATH  Google Scholar 

  4. Sattinger, D.H.: On the free surface of a viscous fluid motion.-Proc. R. Soc. London A 349(1976), 183–204.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  5. Socolowsky, J.: Solvebility of stationary problems of the plane motion of two viscous incompressible liquids with non-compact free boudary.-to appear in ZAMM 71(9)(1991).

    Google Scholar 

  6. Socolowsky, J, Wolff, M.: On some model problems in flow problems with contact angles.-to appear in ZAMM

    Google Scholar 

  7. Solonnikov, V.A.: On the Stokes equations in domains with non-smooth boundaries and on viscous incompressible flow with a free surface.-in "Nonlinear partial differential equations and their applications. College de France, Seminar", vol. 3(1983), 340–423, Ed.: H. Brezis, J.L. Lions.

    Google Scholar 

  8. Wolff, M.: Mathematische Untersuchungen gewisser Klassen einfacher Flüssigkeiten mit teilweise freier Oberfläche.-Berlin, Humboldt-Universität, Sektion Mathematik, Diss. A.

    Google Scholar 

  9. Wolff, M.: Stationary flow of heat-conducting fluids with free surface between concentric cylinders.-Berlin, Humboldt-Universität, Sektion Mathematik, Seminarbericht Nr. 99(1988).

    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

Wolff, M. (1992). Heat-conducting fluids with free surface in the case of slip-condition on the walls. 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/BFb0090333

Download citation

  • DOI: https://doi.org/10.1007/BFb0090333

  • 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