Skip to main content

Mathematics Institute

Dr Filip Rindler

  F.R. Portrait

Filip Rindler

Reader
Turing Fellow


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

 

Teaching Responsibilities 2018/19:
Term 2: MA4G6 Calculus of Variations.

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


See www.ercsingularity.org for details.


Textbook "Calculus of Variations" (Springer 2018)
Calculus of Variations book cover
See www.calculusofvariations.com for details.

 

Research

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

  • 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.
  • A local proof for the characterization of Young measures generated by sequences in BV, J. Funct. Anal. 266 (2014), 6335-6371. 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.

 

Lecture notes / theses / slides

  • The positive Jacobian constraint in elasticity theory and orientation-preserving Young measures, Lecture notes for a short course, August 2015. Download.
  • Lower Semicontinuity and Young Measures for Integral Functionals with Linear Growth, DPhil thesis, University of Oxford, November 2011. Download.
  • Reverse Approximation of Rate-Independent Evolution Processes, Diploma thesis, Technical University Berlin, September 2008. Download.
  • On the structure of PDE-constrained measures and applications, Slides, June 2016. Download.
  • The positive Jacobian constraint in elasticity theory and orientation-preserving Young measures, Slides, January 2014. Download.
  • Directional oscillations and concentrations and weak/strong compactness via microlocal compactness forms, Slides, December 2012. Download.
  • Lower semicontinuity for minimization problems in the space BD of functions of bounded deformation, Slides, November 2011. Download.