Skip to main content

Free boundary problems for compressible viscous fluids

  • Chapter
  • First Online:
Fluid Dynamics

Part of the book series: Lecture Notes in Mathematics ((LNMCIME,volume 1047))

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

Access this chapter

eBook
USD 19.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 26.00
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. S. Agmon — A. Douglis — L. Nirenberg, Estimates near the boundary for solutions of elliptic partial differential equations satisying general boundary conditions, II, Comm. Pure Appl. Math., 17 (1964), 35–92.

    Article  MathSciNet  MATH  Google Scholar 

  2. P. Grisvard, Caractérisation de quelques espaces d’interpolation, Arch. Rational Mech. Anal., 25 (1967), 40–63.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  3. J.L. Lions — E. Magenes, Problèmes aux limites non homogènes et applications, vol. 2, Dunod, Paris, 1968.

    Google Scholar 

  4. P. Secchi — A. Valli, A free boundary problem for compressible viscous fluids, J. Reine Angew. Math., to appear.

    Google Scholar 

  5. J. Serrin, Mathematical principles of classical fluid mechanics, Handbuch der Physik, Bd. VIII/1, Springer-Verlag, Berlin Göttingen Heidelberg, 1959.

    Google Scholar 

  6. J. Serrin, On the uniqueness of compressible fluid motions, Arch. Rational Mech. Anal., 3 (1959), 271–288.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  7. A. Tani, On the free boundary value problem for compressible viscous fluid motion, J. Math. Kyoto Univ., 21 (1981), 839–859.

    Article  MathSciNet  MATH  Google Scholar 

  8. J.V. Wehausen — E.V. Laitone, Surface waves, Handbuch der Physik, Bd. IX, 446–778, Springer-Verlag, Berlin Göttingen Heidelberg, 1960.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

H. Beirão da Veiga

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer-Verlag

About this chapter

Cite this chapter

Valli, A. (1984). Free boundary problems for compressible viscous fluids. In: Beirão da Veiga, H. (eds) Fluid Dynamics. Lecture Notes in Mathematics, vol 1047. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072331

Download citation

  • DOI: https://doi.org/10.1007/BFb0072331

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12893-9

  • Online ISBN: 978-3-540-38773-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics