A global method for deterministic and stochastic homogenisation in BV

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dc.contributor.areamathematicsen_US
dc.contributor.authorCagnetti, Filippo
dc.contributor.authorDal Maso, Gianni
dc.contributor.authorScardia, Lucia
dc.contributor.authorZeppieri, Caterina Ida
dc.date.accessioned2021-01-19T11:22:26Z
dc.date.available2021-01-19T11:22:26Z
dc.date.issued2021-01-19
dc.description52 pagesen_US
dc.description.abstractIn 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.en_US
dc.identifier.urihttps://openscience.sissa.it/handle/1963/35415
dc.language.isoenen_US
dc.publisherSISSAen_US
dc.relation.ispartofseriesSISSA;04/2021/MATE
dc.subjectFree-discontinuity problemsen_US
dc.subjectGamma-convergence, stochastic homogenisationen_US
dc.subjectblow-up methoden_US
dc.titleA global method for deterministic and stochastic homogenisation in BVen_US
dc.typePreprinten_US
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