Skip to main content
SpringerLink
Log in

The coercivity paradox and nonlocal Ferromagnetism

  • Published:
Continuum Mechanics and Thermodynamics Aims and scope Submit manuscript

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Brown, W. F.: Micromagnetics. Interscience Publishers (1963)

  2. Rogers, R. C.: A nonlocal model for the exchange energy in ferromagnetic materials, to appear in J. of Integral Equations and Applications (1991)

  3. Van der Waals, J. D.: The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density, (in Dutch) Verhandel. Konink. Akad. Weten. Amsterdam, Vol. 8 (1893), Translation by J. S. Rowlinson. J. of Statistical Physics, 20 (1979) 197–244

    Google Scholar 

  4. Young, L. C.: Calculus of Variations and Optimal Control Theory. Chelsea (1969)

  5. Ball, J. M. and James, R. D.: Fine phase mixtures as minimizers of energy. Arch. Rat. Mech. Anal., 100 (1987) 13–52

    Google Scholar 

  6. Chipot, M. and Kinderlehrer, D.: Equilibrium Configurations of Crystals. Technical Report 326. Institute for Mathematics and its Applications, (1987)

  7. Ericksen, J. L.: Twinning of crystals I. In Stuart S. Antman, J. L. Ericksen, David Kinderlehrer, and Ingo Müller, editors, Metastability and Incompletely Posed Problems. IMA series, Springer-Verlag, New York (1986)

    Google Scholar 

  8. Fonseca, I.: Variational methods for elastic crystals. Arch. Rat. Mech. Anal., 97 (1987) 189–220

    Google Scholar 

  9. James, R. D. and Kinderlehrer, D.: Frustration in ferromagnetic materials, to appear in Continuum Mechanics and Thermodynamics (1990)

  10. Tartar, L.: The compensated compactness method applied to systems of conservation laws. In John M. Ball, editor, Systems of Nonlinear Partial Differential Equations, NATO ASI, C. Reidel Pub. Co. (1983)

  11. Adams, R. A.: Sobolev Spaces. Academic Press (1975)

  12. Stratton, J. A.: Electromagnetic Theory, McGraw-Hill (1941)

  13. Landau, L. D. and Lifshitz, E. M.: Electrodynamics of Continuous Media. Pergamon Press (1960)

  14. Brandon, D. and Rogers, R. C.: Nonlocal regularization of L. C. Young's tacking problem. Submitted to Applied Math. and Optimization (1990)

  15. Tartar, L.: Compensated compactness and applications to partial differential equations. In R. J. Knops, editor, Nonlinear Analysis and Mechanics: Heriot-Watt Symposium. Pitman (1979)

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics and ICAM, Virginia Polytechnic Institute and State University, 24061-0123, Blacksburg, Virginia, USA

    D. Brandon & R. C. Rogers

Authors
  1. D. Brandon
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. C. Rogers
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This work has been partially supported by the Office of Naval Research under grant number N00014-88-K-0417 and by DARPA grant F4920-87-C-0116

This work has been partially supported by the Office of Naval Research under grant number N00014-88-K-0417 and by the National Science Foundation under grant number DMS-8801412

Rights and permissions

Reprints and permissions

About this article

Cite this article

Brandon, D., Rogers, R.C. The coercivity paradox and nonlocal Ferromagnetism. Continuum Mech. Thermodyn 4, 1–21 (1992). https://doi.org/10.1007/BF01126384

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01126384

Search

Navigation