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A mixing effect induced by sources concentrated in a soft junction and the gradient concentration phenomenon
Journal article   Open access   Peer reviewed

A mixing effect induced by sources concentrated in a soft junction and the gradient concentration phenomenon

Anne-Laure Bessoud, Pongpol Juntharee, Christian Licht and Gérard Michaille
Asymptotic Analysis, Vol.79, pp.303-323
2012

Abstract

minimization problems concentration measures Gradient Young measures T-convergence 35B40, 49Q20, 28A33
We show that the variational limit of a "-soft and thin junction problem (P") with sources con- centrated in the junction gives rise to a surface energy mixing the internal energy and sources. The surface energy functional possesses an integral representation with respect to the Gradient Young- Concentration measures generated by sequences ( u")">0 of minimizers of (P").
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