Welcome to the webpage of the ERC-funded project “SINGULARITY – Singularities and Compactness in Nonlinear PDEs” (2018 – 2024)!
The team is primarily based at the Mathematics Institute of the University of WarwickLink opens in a new window.
Our primary funding is from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement 757254), but we also gratefully acknowledge previous funding from the Engineering and Physical Sciences Research Council (EPSRC) and the Lloyds Register Foundation (LRF).
More information:
News:
07/03/23 New preprint: Existence and uniqueness for the transport of currents by Lipschitz vector fields by Paolo Bonicatto, Giacomo Del Nin, Filip Rindler, PreprintLink opens in a new window.
07/03/23 New preprint: Rigidity of mass-preserving 1-Lipschitz maps from integral current spaces into ℝn by Giacomo Del Nin, Raquel Perales, PreprintLink opens in a new windowLink opens in a new window.
14/11/22 New preprint: On the converse of Pansu's Theorem by Guido De Philippis, Andrea Marchese, Andrea Merlo, Andrea Pinamonti, Filip Rindler, PreprintLink opens in a new window.
16/08/22 New preprint: Transport of currents and geometric Rademacher-type theorems by Giacomo Del Nin, Paolo Bonicatto, Filip Rindler, PreprintLink opens in a new window.
11/01/22 New preprint: Representation of the total variation as a Γ-limit of
01/10/21 New preprint: Energetic solutions to rate-independent large-strain elasto-plastic evolutions driven by discrete dislocation flow by Filip Rindler, PreprintLink opens in a new window.
28/09/21 New preprint: Space-time integral currents of bounded variation by Filip Rindler, PreprintLink opens in a new window.
21/09/21 New preprint: Elasto-plastic evolution of single crystals driven by dislocation flow by Thomas Hudson, Filip Rindler, PreprintLink opens in a new window.
19/07/21 New preprint: Advection-diffusion equation with rough coefficients: weak solutions and vanishing viscosity by Paolo Bonicatto, Gennaro Ciampa, Gianluca Crippa, PreprintLink opens in a new window.
17/06/21 New preprint: A Bourgain-Brezis-Mironescu representation for functions with bounded deformation by Adolfo Arroyo-Rabasa, Paolo Bonicatto, PreprintLink opens in a new window.
09/06/21 New preprint: Higher integrability for measures satisfying a PDE constraint by Adolfo Arroyo-Rabasa, Guido De Philippis, Jonas Hirsch, Filip Rindler, Anna Skorobogatova. PreprintLink opens in a new window.
23/04/21 New preprint: Endpoint Fourier restriction and unrectifiability by Giacomo Del Nin and Andrea Merlo, PreprintLink opens in a new window.
23/04/21 New preprint: Decomposition of integral metric currents by Paolo Bonicatto, Giacomo Del Nin and Enrico Pasqualetto, PreprintLink opens in a new window.
22/02/21 New preprint: Shape optimization of light structures and the vanishing mass conjecture by Jean-Francois Babadjian, Flaviana Iurlano, Filip Rindler, PreprintLink opens in a new window.
12/02/21 New preprint: Continuum limits of discrete isoperimetric problems and Wulff shapes in lattices and quasicrystal tilings by Giacomo Del Nin, Mircea Petrache, PreprintLink opens in a new window.
08/02/21 The project has been extended to 2024!
20/10/20 New team member: Paolo Bonicatto joins us as a postdoc from the University of Basel. Welcome!
09/10/20 New preprint: Slicing and fine properties of functions with bounded A-variation by Adolfo Arroyo-Rabasa, https://arxiv.org/abs/2009.13513Link opens in a new window
01/06/20 The website has moved to its new host, directly at the University of Warwick.
29/05/20 New preprint: Debye screening for the stationary Vlasov-Poisson equation in interaction with a point charge by Adolfo Arroyo-Rabasa, Raphael Winter, https://arxiv.org/abs/2005.09764Link opens in a new window
29/05/20 New preprint: Probabilistic solution of chaotic dynamical system inverse problems using Bayesian Artificial Neural Networks by David K. E. Green, Filip Rindler, https://arxiv.org/abs/2005.13028Link opens in a new window
05/02/20 New preprint: Rectifiability of the jump set of locally integrable functions by Giacomo Del Nin, https://arxiv.org/abs/2001.04675Link opens in a new window
05/02/20 New preprint: Geometric criteria for C^{1,α} rectifiability by Giacomo Del Nin, Kennedy Obinna Idu, https://arxiv.org/abs/1909.10625Link opens in a new window
20/11/19 New preprint: On the fine properties of elliptic operators by Adolfo Arroyo Rabasa, Anna Skorobogatova, https://arxiv.org/abs/1911.08474Link opens in a new window
5/11/19 New preprint: Fine properties of functions of bounded deformation – an approach via linear PDEs by Guido De Philippis, Filip Rindler, http://arxiv.org/abs/1911.01356Link opens in a new window
12/09/19 New preprint: Quasiconvexity, null Lagrangians, and Hardy space integrability under constant rank constraintsby Andre Guerra, Bogdan Raita, https://arxiv.org/abs/1909.03923Link opens in a new window
1/09/19 New team member: Giacomo Del Nin joins us as a postdoc from the University of Pisa. Welcome!
19/08/19 New preprint: Characterization of generalized Young measures generated by A-free measures by Adolfo Arroyo-Rabasa, https://arxiv.org/abs/1908.03186Link opens in a new window
17/07/19 New preprint: Two-speed solutions to non-convex rate-independent systems by Filip Rindler, Sebastian Schwarzacher, Juan J. L. Velazquez, https://arxiv.org/abs/1907.05035Link opens in a new window
06/05/19 New preprint: Concentration versus oscillation effects in brittle damage by Jean-Francois Babadjian, Flaviana Iurlano, Filip Rindler, https://arxiv.org/abs/1906.02019Link opens in a new window
06/05/19 New preprint: A Note on Estimates for Elliptic Systems with L1 Data by Bogdan Raita, Daniel Spector, https://arxiv.org/abs/1906.01556Link opens in a new window
06/05/19 New preprint: Model inference for ordinary differential equations by parametric polynomial kernel regression by David K. E. Green, Filip Rindler, PreprintLink opens in a new window
30/03/19 New preprint: On limiting trace inequalities for vectorial differential operators by Franz Gmeineder, Bogdan Raita, Jean Van Schaftingen, https://arxiv.org/abs/1903.08633Link opens in a new window
15/03/19 New preprint: On the relaxation of integral functionals depending on the symmetrized gradient by Kamil Kosiba, Filip Rindler, https://arxiv.org/abs/1903.05771Link opens in a new window
11/1/19 New preprint: Continuity and canceling operators of order n on ℝ^nby Bogdan Raita, Anna Skorobogatova, https://arxiv.org/abs/1903.03574Link opens in a new window
4/2/19 New preprint: Generalized multi-scale Young measures by Adolfo Arroyo-Rabasa, Johannes Diermeier, https://arxiv.org/abs/1901.04755Link opens in a new window
10/01/19 New preprint: An elementary approach to the dimension of measures satisfying a first-order linear PDE constraint by Adolfo Arroyo-Rabasa, https://arxiv.org/abs/1812.07629Link opens in a new window
10/01/19 New preprint: L1-estimates for constant rank operators by Bogdan Raita, https://arxiv.org/abs/1811.10057Link opens in a new window
22/11/18 Postdoc job available! We are looking for a Postdoctoral Research Fellow to join the team at the University of Warwick! The ideal candidate will have a strong background in the theory of PDEs, calculus of variations and potentially the theory of microstructure in materials. The position is for 24 months with the possibility of an extension for another 12 months. The closing date is 7 Jan 2019. Please see details and apply hereLink opens in a new window.
12/11/18 New preprint: Dimensional estimates and rectifiability for measures satisfying linear PDE constraints by Adolfo Arroyo-Rabasa, Guido De Philippis, Jonas Hirsch, Filip Rindler, https://arxiv.org/abs/1811.01847Link opens in a new window
15/10/18 Preprint: Critical L^p-differentiability of BV^𝔸-maps and canceling operators (revised) by Bogdan Raita, https://arxiv.org/abs/1712.01251v2Link opens in a new window
28/06/18 Book Calculus of Variations by Filip Rindler has appeared with Springer! See www.calculusofvariations.comLink opens in a new window for details.
05/06/18 New preprint: Relaxation for partially coercive integral functionals with linear growth by Filip Rindler, Giles Shaw, https://arxiv.org/abs/1806.00343Link opens in a new window
06/04/18 New preprint: On the two-state problem for general differential operators by Guido De Philippis, Luca Palmieri, Filip Rindler, https://arxiv.org/abs/1803.09302Link opens in a new window
01/04/18 New team members: Adolfo Arroyo-Rabasa (Leipzig) and Bogdan Raita (Oxford) will join the project as postdocs in autumn. Welcome!
01/04/18 Project now officially underway: The funding has officially started!
24/12/17 Survey article online: You can read a more technical description of some recent results here: AfreeSurvey.
03/12/17 Postdoc job available! We are looking for a Postdoctoral Research Fellow to join the team at the University of Warwick! The position is for 24 months with the possibility of an extension for another 12 months. Please apply hereLink opens in a new window.
01/12/17 Website open!
