Thin-film limits of functionals on A-free vector fields

DOI10.1512/iumj.2015.64.5653zbMath1333.49029arXiv1105.3848OpenAlexW2963837336MaRDI QIDQ3458716

Filip Rindler, Carolin Kreisbeck

Publication date: 21 December 2015

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.3848

zbMATH Keywords

integral functionalsvariational principles\(\Gamma\)-convergencePDE constraints\(\mathcal{A}\)-quasiconvexity\(\mathcal{A}\)-free vector fieldsthin-film limits

Mathematics Subject Classification ID

Thin films (74K35) Methods involving semicontinuity and convergence; relaxation (49J45) Partial differential equations and systems of partial differential equations with constant coefficients (35E99)

Related Items (8)

Homogenization problems in the calculus of variations: an overview ⋮ Homogenization of high-contrast composites under differential constraints ⋮ Homogenization of functionals with linear growth in the context of \(\mathcal A\)-quasiconvexity ⋮ Asymptotic variational analysis of incompressible elastic strings ⋮ A note on 3D-1D dimension reduction with differential constraints ⋮ \(\mathcal{A}\)-quasiconvexity at the boundary and weak lower semicontinuity of integral functionals ⋮ Heterogeneous Thin Films: Combining Homogenization and Dimension Reduction with Directors ⋮ Effective energy integral functionalsfor thin films on curl-free vector fields in the Orlicz–Sobolev space setting

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