Zobrazeno 1 - 10
of 65
pro vyhledávání: '"BONACINI, MARCO"'
Recently it has been shown that the unique locally perimeter minimizing partitioning of the plane into three regions, where one region has finite area and the other two have infinite measure, is given by the so-called standard lens partition. Here we
Externí odkaz:
http://arxiv.org/abs/2407.21677
Regular polygons are characterized as area-constrained critical points of the perimeter functional with respect to particular families of perturbations in the class of polygons with a fixed number of sides. We also review recent results in the litera
Externí odkaz:
http://arxiv.org/abs/2406.18163
Autor:
Bonacini, Marco, Iurlano, Flaviana
Variational models for cohesive fracture are based on the idea that the fracture energy is released gradually as the crack opening grows. Recently, [Conti, Focardi, and Iurlano, Ann. Inst. H. Poincar\'e C Anal. Non Lin\'eaire, 2016] proposed a variat
Externí odkaz:
http://arxiv.org/abs/2309.17064
We consider a class of attractive-repulsive energies, given by the sum of two nonlocal interactions with power-law kernels, defined over sets with fixed measure. It has recently been proved by R. Frank and E. Lieb that the ball is the unique (up to t
Externí odkaz:
http://arxiv.org/abs/2207.00388
Autor:
Bonacini, Marco, Cristoferi, Riccardo
We consider a variational model for periodic partitions of the upper half-space into three regions, where two of them have prescribed volume and are subject to the geometrical constraint that their union is the subgraph of a function, whose graph is
Externí odkaz:
http://arxiv.org/abs/2107.13325
We consider Riesz-type nonlocal interaction energies over polygons. We prove the analog of the Riesz inequality in this discrete setting for triangles and quadrilaterals, and obtain that among all $N$-gons with fixed area, the nonlocal energy is maxi
Externí odkaz:
http://arxiv.org/abs/2103.06657
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 processes, motivated by a variational approximation with damage models.
Externí odkaz:
http://arxiv.org/abs/2004.11290
Publikováno v:
Nonlinear Analysis 205 (2021) 112223
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 the small mass regime, if the Wulff shape of the anisotropic perimete
Externí odkaz:
http://arxiv.org/abs/2004.03628
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 kernel is close to the diagonal kernel, and that the fragmentation kerne
Externí odkaz:
http://arxiv.org/abs/1906.08966
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 kernel is close to the diagonal kernel, and that the fragmentation kerne
Externí odkaz:
http://arxiv.org/abs/1906.08965