Research

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Research areas

  • Calculus of Variations
  • Elliptic PDEs
  • Gamma-convergence
  • Homogenization
  • Free-discontinuity problems
  • Nonlinear elasticity

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    Publications

    Research articles (journals)

    • Cagnetti F, Dal Maso G, Scardia L, Zeppieri C I. . ‘Gamma-convergence of free-discontinuity problems.’ Ann. Inst. H. Poincaré Anal. Non Linéaire 36: 1035–1079.
    • Cagnetti F, Dal Maso G, Scardia L, Zeppieri C I. . ‘Stochastic homogenisation of free-discontinuity problems.’ Arch. Ration. Mech. Anal. 233: 935–974.
    • Pellet X, Scardia L, Zeppieri C I. . ‘Homogenization of high-contrast Mumford-Shah energies.’ SIAM J. Math. Anal. 51: 1696-1729.
    • Zeppieri C. I. . ‘Stochastic homogenisation of singularly-perturbed integral functionals.’ Ann. Mat. Pura Appl. 195.
    • Bevan J J, Zeppieri C I. . ‘A simple sufficient condition for the quasiconvexity of elastic stored-energy functions in spaces which allow for cavitation.’ Calc. Var. Partial Diff. Equations 55.
    • Barchiesi M, Lazzaroni G, Zeppieri C I. . ‘A bridging mechanism in the homogenisation of brittle composites with soft inclusions.’ SIAM J. Math. Anal. 48.
    • Burger Martin, Esposito Teresa, Zeppieri Caterina Ida. . ‘Second-order edge-penalization in the Ambrosio-Tortorelli functional.’ Multiscale Model. Simul. 13, No. 4: 1354-1389.
    • Ansini N, Dal Maso G, Zeppieri C.I. . ‘New results on Γ-limits of integral functionals.’ Ann. Inst. H. Poincaré Anal. Non Linéaire 31: 185-202.
    • Müller S, Scardia L, Zeppieri C.I. . ‘Geometric rigidity for incompatible fields and an application to strain-gradient plasticity.’ Indiana univ. Math. J. 63: 1365-1396.
    • Ansini N, Dal Maso G, Zeppieri C.I. . ‘Γ-convergence and H-convergence of linear elliptic operators.’ J. Math. Pures Appl. 99: 321-329.
    • Scardia L, Zeppieri C.I. . ‘Line-tension model for plasticity as the Γ-limit of a nonlinear dislocation energy.’ SIAM Journal on Mathematical Analysis 44, No. 4: 2372-2400. doi: 10.1137/110824851.
    • Ansini N.,Zeppieri C.I.,. . ‘Asymptotic analysis of nonsymmetric linear operators via Γ-convergence.’ SIAM Journal on Mathematical Analysis 44, No. 3: 1617-1635. doi: 10.1137/110834330.
    • Cicalese M, Spadaro E.N., Zeppieri C.I. . ‘Asymptotic analysis of a second-order singular perturbation model for phase transitions.’ Calculus of Variations and Partial Differential Equations 41, No. 1-2: 127-150. doi: 10.1007/s00526-010-0356-9.
    • Dal Maso G, Zeppieri C.I. . ‘Homogenization of fiber reinforced brittle materials: The intermediate case.’ Advances in Calculus of Variations 3, No. 4: 345-370. doi: 10.1515/ACV.2010.011.
    • Cicalese M, DeSimone A, Zeppieri C.I. . ‘Discrete-to-continuum limits for strain-alignment-coupled systems: Magnetostrictive solids, ferroelectric crystals and nematic elastomers.’ Networks and Heterogeneous Media 4, No. 4: 667-708. doi: 10.3934/nhm.2009.4.667.
    • Braides A, Zeppieri C.I. . ‘Multiscale analysis of a prototypical model for the interaction between microstructure and surface energy.’ Interfaces and Free Boundaries 11, No. 1: 61-108.
    • Ansini N, Babadjian J.F., Zeppieri C.I. . ‘The Neumann sieve problem and dimensional reduction: A multiscale approach.’ Mathematical Models and Methods in Applied Sciences 17, No. 5: 681-735. doi: 10.1142/S0218202507002078.
    • Braides A, Zeppieri C.I. . ‘A note on equi-integrability in dimension reduction problems.’ Calculus of Variations and Partial Differential Equations 29, No. 2: 231-238. doi: 10.1007/s00526-006-0065-6.

    Research articles (Book Contributions)

    • Müller Stefan, Scardia Lucia, Zeppieri Caterina Ida. . ‘Gradient theory for geometrically nonlinear plasticity via the homogenization of dislocations.’ In Analysis and Computation of Microstructure in Finite Plasticity, edited by Conti Sergio, Hackl Klaus, 175-204.