0576553 20250317091027.820231017235959.9 85141683684 000871631400001 10.1515/acv-2022-0009 42 s. P cav_un_epca*03616971864-8258172 (2024)277-318 Homogenization high-contrast two-scale convergence cav_un_auth*0417358 Davoli E. AT cav_un_auth*0101142 Kružík Martin UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0456535 Pagliari V. AT A http://library.utia.cas.cz/separaty/2023/MTR/kruzik-0576553.pdf https://www.degruyter.com/document/doi/10.1515/acv-2022-0009/html 8J19AT013 GA MŠk CZ cav_un_auth*0385123 GF19-29646L GA ČR CZ cav_un_auth*0385134 We derive, by means of variational techniques, a limiting description for a class of integral functionals under linear differential constraints. The functionals are designed to encode the energy of a high-contrast composite, that is, a heterogeneous material which, at a microscopic level, consists of a periodically perforated matrix whose cavities are occupied by a filling with very different physical properties. Our main result provides a Γ-convergence analysis as the periodicity tends to zero, and shows that the variational limit of the functionals at stake is the sum of two contributions, one resulting from the energy stored in the matrix and the other from the energy stored in the inclusions. As a consequence of the underlying high-contrast structure, the study is faced with a lack of coercivity with respect to the standard topologies in Lp , which we tackle by means of two-scale convergence techniques. In order to handle the differential constraints, instead, we establish new results about the existence of potentials and of constraint-preserving extension operators for linear, k-th order, homogeneous differential operators with constant coefficients and constant rank. WOS BA 10000 10100 10101 2025 3 RVO:67985556 https://hdl.handle.net/11104/0346459 S A MATHEMATICS.APPLIED|MATHEMATICS 1.5 0.4 4.3 0.00204 1.305 520 27 1.534 33.97 1.25 169 Q1 1.400 36 Q1 76.4 1.07 Q1 86.9 2024 85141683684 SCOPUS PUBMED 000871631400001 WOS cav_un_epca*0361697 Advances in Calculus of Variations 17 2 2024 277 318 1864-8258 1864-8266