Displaying similar documents to “On the representation of effective energy densities”

Homogenization of micromagnetics large bodies

Giovanni Pisante (2004)

ESAIM: Control, Optimisation and Calculus of Variations

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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 ε ( m ) = Ω φ x , x ε , m ( x ) d x - Ω h e ( x ) · m ( x ) d x + 1 2 3 | u ( x ) | 2 d x of a large ferromagnetic body is obtained.

A stability result in the localization of cavities in a thermic conducting medium

B. Canuto, Edi Rosset, S. Vessella (2002)

ESAIM: Control, Optimisation and Calculus of Variations

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We prove a logarithmic stability estimate for a parabolic inverse problem concerning the localization of unknown cavities in a thermic conducting medium Ω in n , n 2 , from a single pair of boundary measurements of temperature and thermal flux.