Skip to main content
SpringerLink
Log in

Free boundaries and non-smooth solutions to some field equations: Variational characterization through the transport method

  • Conference paper
  • First Online:
Boundary Control and Boundary Variations

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 100))

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

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. P.R. Garabedian and D.C. Spencer. Extremal methods in cavitational flow, J. Rational Mech. and Anal., 1(1952), 359–409.

    Google Scholar 

  2. P. Casal. Sur l'énergie cinétique d'un écoulement possédant une surface de discontinuité de vitesse, C.R. Acad. Sci. Paris, 234 (1952), 804–806.

    Google Scholar 

  3. J.J. Moreau. Fluid dynamics and the calculus of horizontal variations, Int. J. Engng. Sci. 20(1982), 389–411.

    Google Scholar 

  4. J.J. Moreau. Variational properties of stationary inviscid incompressible flows with possible abrupt inhomogeneity or free surface, Int. J. Engng. Sci. 23(1985), 461–481.

    Google Scholar 

  5. N. Bourbaki. Integration, Hermann, Paris.

    Google Scholar 

  6. J.J. Moreau. Le transport d'une mesure vectorielle par un fluide et le théorème de Kelvin-Helmholtz, Rev. Roum. Math. Pures et Appl. 27(1982), 375–383.

    Google Scholar 

  7. J.E. Marsden and T.J.R. Hughes. Mathematical foundations of elasticity, Prentice-Hall, 1983.

    Google Scholar 

  8. M. Ros. Formes quadratiques positives sur des espaces de gradients, Séminaire d'Analyse Convexe, USTL, Montpellier, 7 (1977), exp. no 5.

    Google Scholar 

  9. G. De Rham. Variétés différentiables, Hermann, 1955.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Laboratoire de Mécanique Générale des Milieux Continus, Université des Sciences et Techniques du Languedoc, 34060, Montpellier-Cédex, France

    J. J. Moreau

Authors
  1. J. J. Moreau
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

J. P. Zolésio

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Springer-Verlag

About this paper

Cite this paper

Moreau, J.J. (1988). Free boundaries and non-smooth solutions to some field equations: Variational characterization through the transport method. In: Zolésio, J.P. (eds) Boundary Control and Boundary Variations. Lecture Notes in Control and Information Sciences, vol 100. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0041919

Download citation

  • DOI: https://doi.org/10.1007/BFb0041919

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18546-8

  • Online ISBN: 978-3-540-48015-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation