Γ-convergence of multiscale periodic functionals depending on the time-derivative and the curl operator

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:387

Article

Serrano, Helia

关键词: Homogenization;    Multiscale convergence;    Divergence-free fields;   

DOI  :  10.1016/j.jmaa.2011.10.011

来源: Elsevier

【 摘 要 】

We study the Gamma-convergence of a family of multiscale periodic quadratic integral functionals defined in a product space, whose densities depend on the time-derivative and on the curl of solenoidal fields, through the multiscale convergence in time-space and the multiscale Young measures in time-space associated with relevant sequences of pairs. An explicit representation of the Gamma-limit density is given by means of an infinite dimensional minimization problem. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

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