<i>Γ</i>-convergence of nonlinear functionals in thin reticulated structures

Leonid Pankratov

doi:10.1016/S1631-073X(02)02468-8

Γ-convergence of nonlinear functionals in thin reticulated structures
[Γ-convergence des fonctionelles non linéaires dans des structures réticulées de faible épaisseur]

Leonid Pankratov ¹

¹ Département de mathématiques, Institut des Basses Températures (FTINT), 47, av. Lénine, 61164 Kharkov, Ukraine

Comptes Rendus. Mathématique, Volume 335 (2002) no. 3, pp. 315-320.

Résumé
Abstract

On étudie la Γ-convergence de fonctionelles non linéaires considérées dans des structures non périodiques de type de grille dans l'espace $R^{2}$ . La fonctionelle Γ-limite est obtenue sous forme explicite.

We study the Γ-convergence of nonlinear functionals considered in nonperiodic 2D lattice-like structures. The Γ-limit functional is obtained in the explicit form.

Reçu le : 2001-05-14
Accepté le : 2002-06-03
Publié le : 2002-01-01

DOI : 10.1016/S1631-073X(02)02468-8

Affiliations des auteurs :

Leonid Pankratov ¹

¹ Département de mathématiques, Institut des Basses Températures (FTINT), 47, av. Lénine, 61164 Kharkov, Ukraine

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     author = {Leonid Pankratov},
     title = {\protect\emph{\ensuremath{\Gamma}}-convergence of nonlinear functionals in thin reticulated structures},
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     language = {en},
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Leonid Pankratov. Γ-convergence of nonlinear functionals in thin reticulated structures. Comptes Rendus. Mathématique, Volume 335 (2002) no. 3, pp. 315-320. doi : 10.1016/S1631-073X(02)02468-8. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02468-8/

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