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Currently displaying 1 – 3 of 3

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Homogenization of micromagnetics large bodies

Giovanni Pisante — 2004

ESAIM: Control, Optimisation and Calculus of Variations

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 $ℰ_{ε} (m) = \int_{Ω} φ (x, \frac{x}{ε}, m (x)) d x - \int_{Ω} h_{e} (x) \cdot m (x) d x + \frac{1}{2} \int_{ℝ^{3}} {| \nabla u (x) |}^{2} d x$ of a large ferromagnetic body is obtained.

Equazioni differenziali implicite: differenti metodi di approccio

Giovanni Pisante — 2005

Bollettino dell'Unione Matematica Italiana

Homogenization of micromagnetics large bodies

Giovanni Pisante — 2010

ESAIM: Control, Optimisation and Calculus of Variations

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 $ℰ_{ε} (m) = \int_{Ω} φ (x, \frac{x}{ε}, m (x)) d x - \int_{Ω} h_{e} (x) \cdot m (x) d x + \frac{1}{2} \int_{ℝ^{3}} {| \nabla u (x) |}^{2} d x$ of a large ferromagnetic body is obtained.

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