1 citations · 1 across the 6 of their papers we have counts for
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Shape optimization of light structures with general Hooke's laws
Dimitrios Andreakis, Flaviana Iurlano, Filip Rindler
For the minimum-compliance shape optimization problem it was established recently [\textit{Duke Math.\ J.} 172 (2023), 43--103] that a sequence of approximately optimal shapes of e…
Concentration phenomena and the Vanishing Mass Conjecture
Luca Gennaioli, Filip Rindler
Concentrating (that is, non-equi-integrable) sequences of functions satisfying linear PDE constraints arise in a wide variety of problems in PDE, the calculus of variations, and ge…
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…
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…