3 citations · 3 across the 7 of their papers we have counts for
4 papers · 2 filters
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…