39 citations · 76 across the 27 of their papers we have counts for
5 papers · 1 filter
Fine properties of functions of bounded deformation -- an approach via linear PDEs
Guido De Philippis, Filip Rindler
In this survey we collect some recent results obtained by the authors and collaborators concerning the fine structure of functions of bounded deformation (BD). These maps are $\mat…
Model inference for Ordinary Differential Equations by parametric polynomial kernel regression
David K. E. Green, Filip Rindler
Model inference for dynamical systems aims to estimate the future behaviour of a system from observations. Purely model-free statistical methods, such as Artificial Neural Networks…
Two-speed solutions to non-convex rate-independent systems
Filip Rindler, Sebastian Schwarzacher, Juan J. L. Velazquez
We consider evolutionary PDE inclusions of the form \[ -λ\dot{u}_λ+ Δu - \mathrm{D} W_0(u) + f \ni \partial \mathcal{R}_1(\dot{u}) \qquad\text{in ,} \] where $\math…
Concentration versus oscillation effects in brittle damage
Jean-Francois Babadjian, Flaviana Iurlano, Filip Rindler
This work is concerned with an asymptotic analysis, in the sense of -convergence, of a sequence of variational models of brittle damage in the context of linearized elasticity.…
On the relaxation of integral functionals depending on the symmetrized gradient
Kamil Kosiba, Filip Rindler
We prove results on the relaxation and weak* lower semicontinuity of integral functionals of the form \[ \mathcal{F}[u] := \int_Ω f \bigg( \frac{1}{2} \bigl( \nabla u(x) + \nabla u…