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 2019/20: None

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

See www.ercsingularity.org for details.

Textbook "Calculus of Variations" (Springer 2018)

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

• 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 W^1,1 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.