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Research interests
Calculus of Variations with Applications in Material Science
- Notions of convexity, relaxation, Γ-convergence
- Thin-film limits
- Functionals with PDE constraints, A-quasiconvexity
- Mathematical models of plasticity
Partial Differential Equations with Applications in Quantum Transport
- Eigenvalue problems
- Dimension reduction, homogenization
- Mathematical models of waveguides
Publications
Journal articles
- Relaxation of a model in finite plasticity with two slip systems,
Math. Models Methods Appl. Sci. 23 (2013), pp. 2111-2128 (with S. Conti, G. Dolzmann),
doi: 10.1142/S0218202513500279
- Relaxation and microstructure in a model for finite crystal plasticity with
one slip system in three dimensions,
Discrete Contin. Dyn. Syst. Ser. S 6 (2013), pp. 1-16 (with S. Conti, G. Dolzmann),
doi:10.3934/dcdss.2013.6.1
- Another approach to the thin-film Gamma-limit of the micromagnetic free energy in the
regime of small samples,
Quart. Appl. Math. 71 (2013), pp. 201-213,
doi:10.1090/S0033-569X-2012-01323-5
- Asymptotic behavior of crystal plasticity with one slip system in the limit of rigid elasticity, SIAM J. Math. Anal. 43 (2011), pp. 2337-2353 (with S. Conti, G. Dolzmann),
doi:10.1137/100810320
- Relaxation of a class of variational models in crystal plasticity,
Proc. Royal Soc. London 465 (2009), pp. 1735-1742 (with S. Conti, G. Dolzmann),
doi:10.1098/rspa.2008.0390
Preprints
- Asymptotic spectral analysis in semiconductor nanowire heterostructures, submitted
(with L. Mascarenhas), arXiv:1309.3831
Proceedings and non-peer-reviewed publications
- Geometrically nonlinear models in crystal plasticity and the limit of rigid elasticity ,
PAMM Proc. Appl. Math. Mech. 10 (2010), pp. 3-6 (with S. Conti, G. Dolzmann),
doi:10.1002/pamm.201010002
- Analytical aspects of relaxation for models in crystal plasticity,
Oberwolfach Reports 7 (2010), pp. 769-771 (with S. Conti, G. Dolzmann),
doi:10.4171/OWR/2010/14
Theses
