The results on Gamma-limits of sequences of free-discontinuity functionals with bounded cohesive surface terms are extended to the case of vector-valued functions. In this framework, we prove an integral representation result for the Gamma-limit, which is then used to study deterministic and stochastic homogenization problems for this type of functional.
Homogenization of vectorial free-discontinuity functionals with cohesive type surface terms / Dal Maso, G., Donati, D.. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS. - ISSN 0308-2105. - (2025), pp. 1-71. [10.1017/prm.2025.10055]
Homogenization of vectorial free-discontinuity functionals with cohesive type surface terms
Dal Maso G.;Donati D.
2025-01-01
Abstract
The results on Gamma-limits of sequences of free-discontinuity functionals with bounded cohesive surface terms are extended to the case of vector-valued functions. In this framework, we prove an integral representation result for the Gamma-limit, which is then used to study deterministic and stochastic homogenization problems for this type of functional.File in questo prodotto:
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