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About regularity issues regarding a magnetic force formula

  1. Anja Schlömerkemper*

Article first published online: 13 DEC 2004

DOI: 10.1002/pamm.200410256

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PAMM

PAMM

Volume 4, Issue 1, pages 550–551, December 2004

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How to Cite

Schlömerkemper, A. (2004), About regularity issues regarding a magnetic force formula. Proc. Appl. Math. Mech., 4: 550–551. doi: 10.1002/pamm.200410256

Author Information

  1. Institute of Analysis, Dynamics and Modelling, University of Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany

*Phone: +49 711 685 5547, Fax: +49 711 685 5535

Publication History

  1. Issue published online: 13 DEC 2004
  2. Article first published online: 13 DEC 2004

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References

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    S. Bobbio, Electrodynamics of Materials: Forces, Stresses, and Energies in Solids and Fluids (Academic Press, San Diego, 2000).
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    W. F. Brown, Magnetoelastic Interactions (Springer-Verlag, Berlin, 1966).
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    A. DeSimone and P. Podio-Guidugli, On the Continuum Theory of Deformable Ferromagnetic Solids, Arch. Rational Mech. Anal. 136, 201–233 (1996).
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    E. B. Fabes, M. Jodeit, N. M. Rivière, Potential techniques for boundary value problems on C1-domains, Acta Math. 141 , 165–186 (1978).
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    R. D. James and S. Müller, Internal variables and fine-scale oscillations in micromagnetics, Continuum Mech. Thermodyn. 6, 291–336 (1994).
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    S. Müller and A. Schlömerkemper, Discrete-to-continuum limit of magnetic forces, C. R. Acad. Sci. Paris, Ser. I 335, 393–398 (2002).
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    A. Schlömerkemper, Magnetic forces in discrete and continuous systems, Doctoral thesis, University of Leipzig (2002) http://dol.uni-leipzig.de/pub/2002-48.
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    A. Schlömerkemper, Mathematical derivation of the continuum limit of the magnetic force between two parts of a rigid crystalline material, Preprint.
  • [9]
    G. Verchota, Layer Potentials and Regularity for the Dirichlet Problem for Laplace's Equation in Lipschitz Domains, J. Funct. Anal.59, 572–611 (1984).
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