Γ-convergence of graph Ginzburg-Landau functionals

Y Van Gennip, AL Bertozzi - Adv. Differential Equations, 2012 - projecteuclid.org
We study Γ-convergence of graph-based Ginzburg–Landau functionals, both the limit for
zero diffusive interface parameter ε→ 0 and the limit for infinite nodes in the graph m→∞ …

Stochastic homogenization of nonconvex unbounded integral functionals with convex growth

M Duerinckx, A Gloria - Archive for Rational Mechanics and Analysis, 2016 - Springer
We consider the well-trodden ground of the problem of the homogenization of random
integral functionals. When the integrand has standard growth conditions, the qualitative …

[图书][B] A variational theory of convolution-type functionals

R Alicandro, N Ansini, A Braides, A Piatnitski… - 2023 - Springer
These notes stem from a group activity in Rome stimulated by a visit of Andrey Piatnitski at
the University of Rome Tor Vergata, where he was also giving a course on the …

Convergences of the squareroot approximation scheme to the Fokker–Planck operator

M Heida - Mathematical Models and Methods in Applied …, 2018 - World Scientific
We study the qualitative convergence behavior of a novel FV-discretization scheme of the
Fokker–Planck equation, the squareroot approximation scheme (SQRA), that recently was …

Estimation of the infinitesimal generator by square-root approximation

L Donati, M Heida, BG Keller… - Journal of Physics …, 2018 - iopscience.iop.org
In recent years, for the analysis of molecular processes, the estimation of time-scales and
transition rates has become fundamental. Estimating the transition rates between molecular …

The configurational-forces view of the nucleation and propagation of fracture and healing in elastomers as a phase transition

A Kumar, K Ravi-Chandar, O Lopez-Pamies - International Journal of …, 2018 - Springer
In a recent contribution, Kumar et al.(J Mech Phys Solids 112: 523–551, 2018) have
introduced a macroscopic theory aimed at describing, explaining, and predicting the …

Stochastic homogenization of nonconvex discrete energies with degenerate growth

S Neukamm, M Schaffner, A Schlomerkemper - SIAM Journal on …, 2017 - SIAM
Recently, there has been considerable effort to understand periodic and stochastic
homogenization of elliptic equations and integral functionals with degenerate growth, as …

Domain formation in magnetic polymer composites: an approach via stochastic homogenization

R Alicandro, M Cicalese, M Ruf - Archive for Rational Mechanics and …, 2015 - Springer
We study the magnetic energy of magnetic polymer composite materials as the average
distance between magnetic particles vanishes. We model the position of these particles in …

[HTML][HTML] Discrete stochastic approximations of the Mumford–Shah functional

M Ruf - Annales de l'Institut Henri Poincaré C, Analyse non …, 2019 - Elsevier
We propose a new Γ-convergent discrete approximation of the Mumford–Shah functional.
The discrete functionals act on functions defined on stationary stochastic lattices and take …

Homogenisation of dynamical optimal transport on periodic graphs

P Gladbach, E Kopfer, J Maas, L Portinale - Calculus of Variations and …, 2023 - Springer
This paper deals with the large-scale behaviour of dynamical optimal transport on Z d-
periodic graphs with general lower semicontinuous and convex energy densities. Our main …