Advertisement

On edge interactions and surface tension

  • Walter Noll
  • Epifanio G. Virga
Article

Keywords

Neural Network Surface Tension Complex System Nonlinear Dynamics Electromagnetism 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [FDSI]
    Noll, W., “Finite-Dimensional Spaces: Algebra, Geometry, and Analysis, Vol. I”, Martinus Nijhoff Publishers, 1987.Google Scholar
  2. [FDSII]
    Noll, W., “Finite-Dimensional Spaces: Algebra, Geometry, and Analysis, Vol. II”, to be published. A preliminary version of Chapt. 3 is available in the form of lecture notes. These notes were the basis of Sect. 3 of [GM].Google Scholar
  3. [F]
    Fraenkel, L. E., “On Regularity of the Boundary in the Theory of Sobolev Spaces”, Proc. London Math. Soc. (3) 39, 385–427 (1979).Google Scholar
  4. [FV]
    Fosdick, R. L., & E. G. Virga, “A Variational Proof of the Stress Theorem of Cauchy”, Arch. Rational Mech. Anal. 105, 95–103 (1989).Google Scholar
  5. [GM]
    Gurtin, M. E., & A. I. Murdoch, “A Continuum Theory of Elastic Material Surfaces”, Arch. Rational Mech. Anal. 57, 291–323 (1974).Google Scholar
  6. [GW]
    Gurtin, M. E., & W. O. Williams, “An Axiomatic Foundation for Continuum Thermodynamics”, Arch. Rational Mech. Anal. 26, 83–117 (1967).Google Scholar
  7. [GWZ]
    Gurtin, M. E., W. O. Williams & W. P. Ziemer, “Geometric Measure Theory and the Axioms of Continuum Thermodynamics”, Arch. Rational Mech. Anal. 92, 1–22 (1986).Google Scholar
  8. [K]
    Kellogg, O. D., “Foundations of Potential Theory”, Springer, Berlin, 1929.Google Scholar
  9. [N1]
    Noll, W., “The Foundations of Classical Mechanics in the Light of Recent Advances in Continuum Mechanics”, Proceedings of the Berkeley Symposium on the Axiomatic Method, 226–281, Amsterdam, 1959.Google Scholar
  10. [N2]
    Noll, W., “Lectures on the Foundations of Continuum Mechanics and Thermodynamics”, Arch. Rational Mech. Anal. 52, 62–92 (1973).Google Scholar
  11. [N3]
    Noll, W., “On Contactors for Surface Interactions”, to appear.Google Scholar
  12. [NV]
    Noll, W., & E. G. Virga, “Fit Regions and Functions of Bounded Variation”, Arch. Rational Mech. Anal. 102, 1–21 (1988).Google Scholar
  13. [S]
    Šilhavý, M., “The Existence of the Flux Vector and the Divergence Theorem for General Cauchy Fluxes”, Arch. Rational Mech. Anal. 90, 195–212 (1985).Google Scholar
  14. [To1]
    Toupin, R. A., “Elastic Materials with Couple-stresses”, Arch. Rational Mech. Anal. 11, 385–414 (1962).Google Scholar
  15. [To2]
    Toupin, R. A., “Theories of Elasticity with Couple-stress”, Arch. Rational Mech. Anal. 17, 85–112 (1964).Google Scholar
  16. [Tr]
    Truesdell, C., “A First Course in Rational Continuum Mechanics”, Vol. I, Academic Press, 1977. Second edition, corrected, revised, and augmented, in press.Google Scholar

Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • Walter Noll
    • 1
    • 2
  • Epifanio G. Virga
    • 1
    • 2
  1. 1.Department of MathematicsCarnegie Mellon UniversityPittsburgh
  2. 2.Dipartimento di MatematicaUniversità di PaviaPaviaItaly

Personalised recommendations