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2 results

  • Homogenization of micromagnetics large bodies

  • Giovanni Pisante
  • Journal:
    ESAIM: Control, Optimisation and Calculus of Variations / Volume 10 / Issue 2 / April 2004
    Published online by Cambridge University Press:
    15 March 2004, pp. 295-314
    Print publication:
    April 2004

  • A homogenization problem related to the micromagnetic energy functional is studied. In particular, the existence of the integral representation for the homogenized limit of a family of energies $$ \mathcal{E}_{\varepsilon}(m)=\int_{\Omega} \phi\left(x,\frac{x}{\varepsilon},m(x)\right)\,{\rm d}x-\int_{\Omega}h_e(x)\cdot m(x)\,{\rm d}x+\frac{1}{2}\int_{\mathbb R^3}|\nabla u(x)|^2\,{\rm d}x$$ of a large ferromagnetic body is obtained.