2022

Hudson, Thomas E. (Edward) and Rindler, Filip (2022) Elasto-plastic evolution of single crystals driven by dislocation flow. Mathematical Models and Methods in Applied Sciences . doi:10.1142/S0218202522500191 (In Press)

Babadjian, Jean-Francois, Iurlano, Flaviana and Rindler, Filip (2022) Shape optimization of light structures and the vanishing mass conjecture. Duke Mathematical Journal . (In Press)

2021

Babadjian, Jean-Francois, Iurlano, Flaviana and Rindler, Filip (2021) Concentration versus oscillation effects in brittle damage. Communications on Pure and Applied Mathematics, 74 (9). pp. 1803-1854. doi:10.1002/cpa.21953

Kosiba, Kamil and Rindler, Filip (2021) On the relaxation of integral functionals depending on the symmetrized gradient. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 151 (2). pp. 473-508. doi:10.1017/prm.2020.22

2020

Arroyo-Rabasa, Adolfo, de Philippis, Guido and Rindler, Filip (2020) Lower semicontinuity and relaxation of linear-growth integral functionals under PDE constraints. Advances in the Calculus of Variations, 13 (3). pp. 219-255. doi:10.1515/acv-2017-0003

De Philippis, Guido and Rindler, Filip (2020) Fine properties of functions of bounded deformation - an approach via linear PDES. Mathematics in Engineering, 2 (3). pp. 386-422. doi:10.3934/mine.2020018

Rindler, Filip and Shaw, Giles (2020) Relaxation for partially coercive integral functionals with linear growth. SIAM Journal of Mathematical Analysis, 52 (5). pp. 4806-4860. doi:10.1137/18M1199460

2019

Rindler, Filip and Shaw, Giles (2019) Liftings, young measures, and lower semicontinuity. Archive for Rational Mechanics and Analysis, 232 . pp. 1227-1328. doi:10.1007/s00205-018-01343-8

Arroyo-Rabasa, Adolfo, De Philippis, Guido, Hirsch, Jonas and Rindler, Filip (2019) Dimensional estimates and rectifiability for measures satisfying linear PDE constraints. Geometric and Functional Analysis, 29 (3). pp. 639-658. doi:10.1007/s00039-019-00497-1

Green, David K. E. and Rindler, Filip (2019) Model inference for ordinary differential equations by parametric polynomial kernel regression. In: UNCECOMP 2019 : 3rd International Conference on Uncertainty Quantification in Computational Sciences and Engineering, Crete, Greece, 24-26 Jun 2019. Published in: UNCECOMP 2019 3rd ECCOMAS Thematic Conference on Uncertainty Quantification in Computational Sciences and Engineering pp. 263-285. doi:10.7712/120219.6340.18533

2018

De Philippis, Guido, Palmieri, Luca and Rindler, Filip (2018) On the two-state problem for general differential operators. Nonlinear Analysis: Theory, Methods & Applications, 177 (Part B). pp. 387-396. doi:10.1016/j.na.2018.03.015

De Philippis, Guido, Palmieri, Luca and Rindler, Filip (2018) On the two-state problem for general differential operators. Nonlinear Analysis: Theory, Methods & Applications, 177 . pp. 387-396. doi:10.1016/j.na.2018.03.015

2017

Rindler, Filip, Schwarzacher, Sebastian and Süli, Endre (2017) Regularity and approximation of strong solutions to rate-independent systems. Mathematical Models & Methods in Applied Sciences, 27 (13). 2511 . doi:10.1142/S0218202517500518

de Philippis, Guido and Rindler, Filip (2017) Characterization of generalized young measures generated by symmetric gradients. Archive for Rational Mechanics and Analysis, 224 (3). pp. 1087-1125. doi:10.1007/s00205-017-1096-1

de Philippis, Guido, Marchese, Andrea and Rindler, Filip (2017) On a conjecture of Cheeger. In: Gigli, N., (ed.) Measure Theory in Non-Smooth Spaces. Berlin: De Gruyter Open, pp. 145-155. ISBN 9783110550825

2016

de Philippis, Guido and Rindler, Filip (2016) On the structure of A-free measures and applications. Annals of Mathematics, 184 (3). pp. 1017-1039. doi:10.4007/annals.2016.184.3.10

Koumatos, K., Rindler, Filip and Wiedemann, E. (2016) Orientation-preserving young measures. Quarterly Journal of Mathematics, 67 (3). pp. 439-466. doi:10.1093/qmath/haw019

Kristensen, Jan and Rindler, Filip (2016) Piecewise affine approximations for functions of bounded variation. Numerische Mathematik, 132 (2). pp. 329-346. doi:10.1007/s00211-015-0721-x

2015

Rindler, Filip (2015) Directional oscillations, concentrations, and compensated compactness via microlocal compactness forms. Archive for Rational Mechanics and Analysis, Volume 215 (Number 1). pp. 1-63. doi:10.1007/s00205-014-0783-4

2014

Rindler, Filip (2014) A local proof for the characterization of Young measures generated by sequences in BV. Journal of Functional Analysis, Volume 266 (Number 11). pp. 6335-6371. doi:10.1016/j.jfa.2014.03.010