Homogenization of integral energies under periodically oscillating differential constraints

Elisa Davoli; Irene Fonseca

doi:10.1007/s00526-016-0988-5

Homogenization of integral energies under periodically oscillating differential constraints

Elisa Davoli, Irene Fonseca (Korresp. Autor*in)

Institut für Mathematik

Veröffentlichungen: Beitrag in Fachzeitschrift › Artikel › Peer Reviewed

Abstract

A homogenization result for a family of integral energies
uε↦∫Ωf(uε(x))dx,ε→0+,

is presented, where the fields uε
are subjected to periodic first order oscillating differential constraints in divergence form. The work is based on the theory of A-quasiconvexity with variable coefficients and on two-scale convergence techniques.

Originalsprache	Englisch
Aufsatznummer	69
Seitenumfang	60
Fachzeitschrift	Calculus of Variations and Partial Differential Equations
Jahrgang	55
DOIs	https://doi.org/10.1007/s00526-016-0988-5
Publikationsstatus	Veröffentlicht - Juni 2016

ÖFOS 2012

101002 Analysis

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10.1007/s00526-016-0988-5

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abstract = "A homogenization result for a family of integral energies (Formula Presented.) ,is presented, where the fields u ε are subjected to periodic first order oscillating differential constraints in divergence form. The work is based on the theory of A-quasiconvexity with variable coefficients and on two-scale convergence techniques. ",

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author = "Elisa Davoli and Irene Fonseca",

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year = "2016",

month = jun,

doi = "10.1007/s00526-016-0988-5",

language = "English",

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AU - Fonseca, Irene

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AB - A homogenization result for a family of integral energies (Formula Presented.) ,is presented, where the fields u ε are subjected to periodic first order oscillating differential constraints in divergence form. The work is based on the theory of A-quasiconvexity with variable coefficients and on two-scale convergence techniques.

KW - HOMOGENIZATION

KW - Two-scale convergence

KW - A-quasiconvexity

KW - 2-SCALE CONVERGENCE

KW - LOWER SEMICONTINUITY

KW - A-QUASICONVEXITY

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JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

M1 - 69

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Homogenization of integral energies under periodically oscillating differential constraints

Abstract

ÖFOS 2012

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