1 citations · 2 across the 3 of their papers we have counts for
6 papers · 1 filter
Cohesive fracture in 1D: quasi-static evolution and derivation from static phase-field models
Marco Bonacini, Sergio Conti, Flaviana Iurlano
In this paper we propose a notion of irreversibility for the evolution of cracks in presence of cohesive forces, which allows for different responses in the loading and unloading p…
Minimality of polytopes in a nonlocal anisotropic isoperimetric problem
Marco Bonacini, Riccardo Cristoferi, Ihsan Topaloglu
We consider the minimization of an energy functional given by the sum of a crystalline perimeter and a nonlocal interaction of Riesz type, under volume constraint. We show that, in…
Solutions with peaks for a coagulation-fragmentation equation. Part II: aggregation in peaks
Marco Bonacini, Barbara Niethammer, Juan Velázquez
The aim of this two-part paper is to investigate the stability properties of a special class of solutions to a coagulation-fragmentation equation. We assume that the coagulation ke…
Solutions with peaks for a coagulation-fragmentation equation. Part I: stability of the tails
Marco Bonacini, Barbara Niethammer, Juan Velázquez
The aim of this two-part paper is to investigate the stability properties of a special class of solutions to a coagulation-fragmentation equation. We assume that the coagulation ke…
Analysis of a perturbed Cahn-Hilliard model for Langmuir-Blodgett films
Marco Bonacini, Elisa Davoli, Marco Morandotti
An advective Cahn-Hilliard model motivated by thin film formation is studied in this paper. The one-dimensional evolution equation under consideration includes a transport term, wh…
Optimal distribution of oppositely charged phases: perfect screening and other properties
Marco Bonacini, Hans Knüpfer, Matthias Röger
We study the minimum energy configuration of a uniform distribution of negative charge subject to Coulomb repulsive self-interaction and attractive interaction with a fixed positiv…