Forschungsschwerpunkte
- Calculus of Variations
- Elliptic PDEs
- Gamma-convergence
- Homogenization
- Free-discontinuity problems
- Nonlinear elasticity
- Plasticity and dislocations in crystals
Publikationen
Forschungsartikel (Zeitschriften)
- . . ‘Gamma-convergence of free-discontinuity problems.’ Ann. Inst. H. Poincaré Anal. Non Linéaire 36: 1035–1079.
- . . ‘Stochastic homogenisation of free-discontinuity problems.’ Arch. Ration. Mech. Anal. 233: 935–974.
- . . ‘Homogenization of high-contrast Mumford-Shah energies.’ SIAM J. Math. Anal. 51: 1696–1729.
- ‘Stochastic homogenisation of singularly-perturbed integral functionals.’ Ann. Mat. Pura Appl. 195. .
- . . ‘A simple sufficient condition for the quasiconvexity of elastic stored-energy functions in spaces which allow for cavitation.’ Calc. Var. Partial Diff. Equations 55.
- . . ‘A bridging mechanism in the homogenisation of brittle composites with soft inclusions.’ SIAM J. Math. Anal. 48.
- . . ‘Second-order edge-penalization in the Ambrosio-Tortorelli functional.’ Multiscale Model. Simul. 13, Nr. 4: 1354–1389.
- ‘New results on Γ-limits of integral functionals.’ Ann. Inst. H. Poincaré Anal. Non Linéaire 31: 185–202. .
- ‘Geometric rigidity for incompatible fields and an application to strain-gradient plasticity.’ Indiana univ. Math. J. 63: 1365–1396. .
- ‘Γ-convergence and H-convergence of linear elliptic operators.’ J. Math. Pures Appl. 99: 321–329. .
- ‘Line-tension model for plasticity as the Γ-limit of a nonlinear dislocation energy.’ SIAM Journal on Mathematical Analysis 44, Nr. 4: 2372–2400. doi: 10.1137/110824851. .
- . . ‘Asymptotic analysis of nonsymmetric linear operators via Γ-convergence.’ SIAM Journal on Mathematical Analysis 44, Nr. 3: 1617–1635. doi: 10.1137/110834330.
- ‘Asymptotic analysis of a second-order singular perturbation model for phase transitions.’ Calculus of Variations and Partial Differential Equations 41, Nr. 1-2: 127–150. doi: 10.1007/s00526-010-0356-9. .
- ‘Homogenization of fiber reinforced brittle materials: The intermediate case.’ Advances in Calculus of Variations 3, Nr. 4: 345–370. doi: 10.1515/ACV.2010.011. .
- ‘Multiscale analysis of a prototypical model for the interaction between microstructure and surface energy.’ Interfaces and Free Boundaries 11, Nr. 1: 61–108. .
- ‘Discrete-to-continuum limits for strain-alignment-coupled systems: Magnetostrictive solids, ferroelectric crystals and nematic elastomers.’ Networks and Heterogeneous Media 4, Nr. 4: 667–708. doi: 10.3934/nhm.2009.4.667. .
- ‘The Neumann sieve problem and dimensional reduction: A multiscale approach.’ Mathematical Models and Methods in Applied Sciences 17, Nr. 5: 681–735. doi: 10.1142/S0218202507002078. .
- ‘A note on equi-integrability in dimension reduction problems.’ Calculus of Variations and Partial Differential Equations 29, Nr. 2: 231–238. doi: 10.1007/s00526-006-0065-6. .
Forschungsartikel (Buchbeiträge)
- . . ‘Gradient theory for geometrically nonlinear plasticity via the homogenization of dislocations.’ In Analysis and Computation of Microstructure in Finite Plasticity, edited by , 175–204.