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Dr Filip Rindler

  F.R. Portrait

Filip Rindler

Turing Fellow

Office: B2.20
 Phone: +44 (0) 2476 5 28328
 Email: F dot Rindler at warwick dot ac dot uk


Teaching Responsibilities 2019/20: None

ERC-project "Singularities and Compactness in nonlinear PDEs" (SINGULARITY)
ERC Singularity Logo

See for details.

Textbook "Calculus of Variations" (Springer 2018)
Calculus of Variations book cover
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Most of my research sits at the intersection between Partial Differential Equations, Geometric Measure Theory, Harmonic Analysis, and the Calculus of Variations. In particular, I am interested in oscillation and concentration phenomena and what can be rigorously proved about their "shape".


Recent publications and preprints

Please see here.


Selected publications

  • Concentration versus oscillation effects in brittle damage (with J.-F. Babadjian, F. Iurlano), to appear in Comm. Pure Appl. Math., arXiv:1906.02019.
  • Dimensional estimates and rectifiability for measures satisfying linear PDE constraints (with A. Arroyo-Rabasa, G. De Philippis, J. Hirsch), Geom. Funct. Anal. 29 (2019), pp 639-658, Online version.
  • Liftings, Young measures, and lower semicontinuity (with G. Shaw), Arch. Ration. Mech. Anal. 232 (2019), 1227-1328, Online version.
  • On the structure of A-free measures and applications (with G. De Philippis), Ann. of Math. 184 (2016), 1017-1039, Online version.
  • Directional oscillations, concentrations, and compensated compactness via microlocal compactness forms. Arch. Ration. Mech. Anal. 215 (2015), 1-63. Online version.
  • Lower semicontinuity for integral functionals in the space of functions of bounded deformation via rigidity and Young measures, Arch. Ration. Mech. Anal. 202 (2011), 63-113. Online version.
  • Characterization of generalized gradient Young measures in W1,1 and BV (with J. Kristensen), Arch. Ration. Mech. Anal. 197 (2010), 539-598. Online version.

A complete list of publications can be found in my CV.