6 papers
The Brezis-Ekeland-Nayroles principle in metric spaces: time-continuous setting
Pierre-Cyril Aubin-Frankowski, Giacomo Enrico Sodini, Ulisse Stefanelli
Based on a variational characterization of the local slope of a functional, we extend the celebrated Brezis-Ekeland-Nayroles null-minimization principle to curves of maximal slope…
Crystallization in the Winterbottom shape and sharp fluctuation laws
Manuel Friedrich, Leonard Kreutz, Ulisse Stefanelli
We address finite crystallization in two dimensions in the presence of a flat crystalline substrate. Particles interact through short-range two- and three-body potentials favoring…
Quasistatic nonassociative plasticity at finite strains
Ulisse Stefanelli, Andreas Vikelis
We investigate finite-strain elastoplastic evolution in the nonassociative setting. The constitutive material model is formulated in variational terms and coupled with the quasista…
The double-bubble problem in three dimensions
Manuel Friedrich, Wojciech Górny, Ulisse Stefanelli
We characterize the unique minimizer of the three-dimensional double-bubble problem with respect to the -norm for volume ratios between and .
Nonlocal-to-local limit in linearized viscoelasticity
Manuel Friedrich, Manuel Seitz, Ulisse Stefanelli
We study the quasistatic evolution of a linear peridynamic Kelvin-Voigt viscoelastic material. More specifically, we consider the gradient flow of a nonlocal elastic energy with re…
A characterization of double bubbles with general interface interaction
Manuel Friedrich, Wojciech Górny, Ulisse Stefanelli
We investigate the optimal arrangements of two planar sets of given volume which are minimizing the double-bubble interaction functional. The latter features a competition…