2 citations · 4 across the 7 of their papers we have counts for
7 papers
Multiscale analysis and homogenization of nonlocal thin films
Nadia Ansini, Antonio Tribuzio
In this paper, we introduce a nonlocal, variational model for thin films. We consider convolution-type functionals defined on a thin domain whose thickness is of order , where t…
A variational theory of convolution-type functionals
Roberto Alicandro, Nadia Ansini, Andrea Braides +2
We provide a general treatment of perturbations of a class of functionals modeled on convolution energies with integrable kernel which approximate the -th norm of the gradient a…
Nonlinear diffusion equations with degenerate fast-decay mobility by coordinate transformation
N. Ansini, S. Fagioli
We prove an existence and uniqueness result for solutions to nonlinear diffusion equations with degenerate mobility posed on a bounded interval for a certain density . In case o…
Minimising movements for oscillating energies: the critical regime
Nadia Ansini, Andrea Braides, Johannes Zimmer
Minimising movements are investigated for an energy which is the superposition of a convex functional and fast small oscillations. Thus a minimising movement scheme involves a temp…
The Neumann sieve problem and dimensional reduction: a multiscale approach
Nadia Ansini, Jean-Francois Babadjian, Caterina Ida Zeppieri
We perform a multiscale analysis for the elastic energy of a -dimensional bilayer thin film of thickness whose layers are connected through an -periodically distributed…
Homogenization of Periodic Multi-Dimensional Structures II: The Linearly Elastic/Perfectly Plastic Case
Nadia Ansini, Francois Bille Ebobisse
In this paper we study the asymptotic behaviour via Gamma-convergence of some integral functionals which model some multi-dimensional structures and depend explicitly on the linear…