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Attributs	Valeurs
type	work Article
Is Part Of	http://hub.abes.fr/edp/periodical/cocv/2009/volume_16/issue_4/w
Subject	Gamma-convergence Variational methods Variational methods for higher-order elliptic equations Magnetic materials micromagnetics non-local energy
Title	Upper bounds for a class of energies containing a non-local term
Date	2009-01-01(xsd:dateTime)
has manifestation of work	http://hub.abes.fr/edp/periodical/cocv/2009/volume_16/issue_4/cocv0856/m/print http://hub.abes.fr/edp/periodical/cocv/2009/volume_16/issue_4/cocv0856/m/web
related by	http://hub.abes.fr/edp/periodical/cocv/2009/volume_16/issue_4/cocv0856/authorship/1
Author	Poliakovsky, Arkady
Abstract	In this paper we construct upper bounds for families of functionals of the form. $$ E_\varepsilon(\phi):=\int_\Omega\Big(\varepsilon \|bla\phi\|^2+\frac{1}{\varepsilon }W(\phi)\Big){\rm d}x+\frac{1}{\varepsilon }\int_{{\mathbb{R}}^N}\|bla \bar H_{F(\phi)}\|^2{\rm d}x $$. where Δ$\bar H_u$ = div { $\chi_\Omega$u}. Particular cases of such functionals arise in Micromagnetics. We also use our technique to construct upper bounds for functionals that appear in a variational formulation of the method of vanishing viscosity for conservation laws.
article type	research-article
publisher identifier	cocv0856
Date Copyrighted	2009-01-01(xsd:dateTime)
Rights	© EDP Sciences, SMAI, 2009
Rights Holder	EDP Sciences, SMAI
is part of this journal	ESAIM: Control, Optimisation and Calculus of Variations
is primary topic of	http://hub.abes.fr/edp/periodical/cocv/2009/volume_16/issue_4/cocv0856/w/record

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