22 citations · 81 across the 18 of their papers we have counts for
23 papers
On the Lavrentiev gap for convex, vectorial integral functionals
Lukas Koch, Matthias Ruf, Mathias Schäffner
We prove the absence of a Lavrentiev gap for vectorial integral functionals of the form $$ F: g+W_0^{1,1}(Ω)^m\to\mathbb{R}\cup\{+\infty\},\qquad F(u)=\int_ΩW(x,\mathrm{D} u)\,\mat…
New homogenization results for convex integral functionals and their Euler-Lagrange equations
Matthias Ruf, Mathias Schäffner
We study stochastic homogenization for convex integral functionals $$u\mapsto \int_D W(ω,\tfrac{x}\varepsilon,\nabla u)\,\mathrm{d}x,\quad\mbox{where}\quad u:D\subset \mathbb{R}^d\…
Stochastic homogenization of functionals defined on finite partitions
Annika Bach, Matthias Ruf
We prove a stochastic homogenization result for integral functionals defined on finite partitions assuming the surface tension to be stationary and possibly ergodic. We also consid…
A spectral ansatz for the long-time homogenization of the wave equation
Mitia Duerinckx, Antoine Gloria, Matthias Ruf
Consider the wave equation with heterogeneous coefficients in the homogenization regime. At large times, the wave interacts in a nontrivial way with the heterogeneities, giving ris…
Stochastic homogenization of degenerate integral functionals with linear growth
Matthias Ruf, Caterina Ida Zeppieri
We study the limit behaviour of a sequence of non-convex, vectorial, random integral functionals, defined on , whose integrands satisfy degenerate linear growth conditions…
Visualizing particle networks in granular media by in situ X-ray computed tomography
Matthias Ruf, Kianoosh Taghizadeh, Holger Steeb
In this contribution, cylindrical samples consisting of monodisperse soft (rubber) and stiff (glass) particles are pre-stressed under uniaxial compression. Acoustic P-waves at ultr…