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Publications

  1. P. Lewintan, S. Müller, P. Neff:  Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy, accepted in Calculus of Variations and Partial Differential Equations Calc. Var.  60, 150 (2021),  https://link.springer.com/article/10.1007/s00526-021-02000-x preprint: arXiv:2011.10573  poster
  2. W. G. Nöhring, J. Grießer, P. Dondl, L. Pastewka:  Surface lattice Green's functions for high-entropy alloys, submitted (2021), preprint: arXiv:2101.12519
  3. P. Lewintan, P. Neff:  Nečas-Lions lemma revisited: An L^p-version of the generalized Korn inequality for incompatible tensor fields, Mathematical Methods in the Applied Sciences (2021) , http://doi.org/10.1002/mma.7498, preprint: arXiv:1912.08447
  4. P. Lewintan, P. Neff:  The L^p-version of the generalized Korn inequality for incompatible tensor fields in arbitrary dimensions with p-integrable exterior derivative, to appear in Comptes Rendus, Mathématique, Académie des Sciences, Paris (2021), preprint: arXiv:1912.11551
  5. P. Lewintan, P. Neff:  L^p-trace-free generalized Korn inequalities for incompatible tensor fields in three space dimensions, submitted, preprint: arXiv:2004.05981
  6. P. Lewintan, P. Neff:  L^p -trace-free version of the generalized Korn inequality for incompatible tensor fields in arbitrary dimensions, to appear in Zeitschrift für angewandte Mathematik und Physik (2021), preprint: hal-02967603
  7. S. Conti, G. Dolzmann:  Numerical Study of Microstructures in Multiwell Problems in Linear Elasticity, submitted to Advances in Continuum Mechanics (2021)
  8. Francesco Della Porta, Angkana Rüland, Jamie M Taylor, Christian Zillinger:  On a probabilistic model for martensitic avalanches incorporating mechanical compatibility, accepted in Nonlinearity, preprint: https://arxiv.org/abs/2008.00416
  9. Angkana Rüland, Antonio Tribuzio:  On the Energy Scaling Behaviour of a Singularly Perturbed Tartar Square, submitted, preprint: https://arxiv.org/abs/2104.05496
  10. Dorothee Knees, Viktor Shcherbakov:  A penalized version of the local minimization scheme for rate-independent systems, Applied Mathematics Letters 115 (2021) 106954, preprint: https://doi.org/10.1016/j.aml.2020.106954
  11. Sören Bartels, Andrea Bonito, Peter Hornung:   Modeling and simulation of thin sheet folding, submitted 08/2021, preprint: https://arxiv.org/abs/2108.00937