Cagnetti2022_Article_AGlobalMethodForDeterministicA.pdf (1.13 MB)
A global method for deterministic and stochastic homogenisation in BV
Version 2 2023-06-12, 07:46
Version 1 2023-06-10, 03:05
journal contribution
posted on 2023-06-12, 07:46 authored by Filippo Cagnetti, Gianni Dal Maso, Lucia Scardia, Caterina Ida ZeppieriIn this paper we study the deterministic and stochastic homogenisation of free-discontinuity functionals under linear growth and coercivity conditions. The main novelty of our deterministic result is that we work under very general assumptions on the integrands which, in particular, are not required to be periodic in the space variable. Combining this result with the pointwise Subadditive Ergodic Theorem by Akcoglu and Krengel, we prove a stochastic homogenisation result, in the case of stationary random integrands. In particular, we characterise the limit integrands in terms of asymptotic cell formulas, as in the classical case of periodic homogenisation.
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Publication status
- Published
File Version
- Published version
Journal
Annals of PDEISSN
2524-5317Publisher
SpringerExternal DOI
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1Volume
8Page range
1-89Article number
a8Department affiliated with
- Mathematics Publications
Research groups affiliated with
- Analysis and Partial Differential Equations Research Group Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2022-04-06First Open Access (FOA) Date
2022-04-12First Compliant Deposit (FCD) Date
2022-04-05Usage metrics
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