11 citations · 27 across the 29 of their papers we have counts for
36 papers
Scaling limits for Moran processes on metric strategy spaces: an Eulerian derivation of pure replicator and Fleming--Viot measure-valued PDEs
Stefano Almi, Riccardo Durastanti, Marco Morandotti +2
We study the large-population limit of a discrete-time Moran process featuring multiple strategies, drawn from a possibly infinite strategy space (a metric space), un…
A Lagrangian superposition principle for the continuity equation with reaction
Stefano Almi, Giacomo Enrico Sodini
We study the continuity equation with reaction on , driven by Borel velocity and reaction fields and . We…
Approximation of symmetric total variation on point clouds
Stefano Almi, Anna Kubin, Emanuele Tasso
The paper investigates the approximation of the symmetric Total Variation functional on graphs. Such an approximation is given in terms of a discrete and symmetric finite differenc…
Asymptotic analysis for heterogeneous elastic energies with material voids
Stefano Almi, Antonio Flavio Donnarumma, Manuel Friedrich
We study the effective behavior of heterogeneous energies arising in the modeling of material voids in geometrically linear elastic materials. Specifically, we consider functionals…
A general perspective on CBO methods with stochastic rate of information
Stefano Almi, Alessandro Baldi, Marco Morandotti +1
This paper studies a class of Consensus-Based Optimization (CBO) models featuring an additional stochastic rate of information, modeling the agents' knowledge of the environment an…
Gradient regularity for double-phase orthotropic functionals
Stefano Almi, Chiara Leone, Gianluigi Manzo
We prove higher integrability for local minimizers of the double-phase orthotropic functional \[ \sum_{i=1}^{n}\int_Ω\left(\left|u_{x_i}\right|^p+a(x)\left| u_{x_i}\right|^q\right)…
The superposition principle for the continuity equation with singular flux
Stefano Almi, Riccarda Rossi, Giuseppe Savaré
Representation results for absolutely continuous curves , , with values in the Wasserstein space of…
Balanced quasistatic evolutions of critical points in metric spaces
Stefano Almi, Massimo Fornasier, Jona Klemenc +1
Quasistatic evolutions of critical points of time-dependent energies exhibit piecewise smooth behavior, making them useful for modeling continuum mechanics phenomena like elastic-p…
Mean field first order optimality condition under low regularity of controls
Stefano Almi, Riccardo Durastanti, Francesco Solombrino
We show that mean field optimal controls satisfy a first order optimality condition (at a.e. time) without any a priori requirement on their spatial regularity. This principle is o…
On De Giorgi's Conjecture of Nonlocal approximations for free-discontinuity problems: The symmetric gradient case
Stefano Almi, Elisa Davoli, Anna Kubin +1
We prove that E. De Giorgi's conjecture for the nonlocal approximation of free-discontinuity problems extends to the case of functionals defined in terms of the symmetric gradient…
Thermo-elastodynamics of nonlinearly viscous solids
S. Almi, R. Badal, M. Friedrich +1
In this paper, we study the thermo-elastodynamics of nonlinearly viscous solids in the Kelvin-Voigt rheology where both the elastic and the viscous stress tensors comply with the f…
A fractional approach to strain-gradient plasticity: beyond core-radius of discrete dislocations
Stefano Almi, Maicol Caponi, Manuel Friedrich +1
We derive a strain-gradient theory for plasticity as the -limit of discrete dislocation fractional energies, without the introduction of a core-radius. By using the finite horiz…
A Pontryagin Maximum Principle for agent-based models with convex state space
Stefano Almi, Riccardo Durastanti, Francesco Solombrino
We derive a first order optimality condition for a class of agent-based systems, as well as for their mean-field counterpart. A relevant difficulty of our analysis is that the stat…
Linearization in magnetoelasticity
Stefano Almi, Martin Kružík, Anastasia Molchanova
Starting from a model of nonlinear magnetoelasticity where magnetization is defined in the Eulerian configuration while elastic deformation is in the Lagrangean one, we rigorously…
Geometric rigidity for incompatible fields in the multi-well case and an application to strain-gradient plasticity
Stefano Almi, Dario Reggiani, Francesco Solombrino
We derive a quantitative rigidity estimate for a multi-well problem in nonlinear elasticity with dislocations. Precisely, we show that the -distance of a possibly incomp…
A new example for the Lavrentiev phenomenon in Nonlinear Elasticity
Stefano Almi, Stefan Krömer, Anastasia Molchanova
We present a new example for the Lavrentiev phenomenon in context of nonlinear elasticity, caused by an interplay of the elastic energy's resistance to infinite compression and the…
Phase-field topology optimization with periodic microstructure
Stefano Almi, Ulisse Stefanelli
Progresses in additive manufacturing technologies allow the realization of finely graded microstructured materials with tunable mechanical properties. This paves the way to a wealt…
Geometric rigidity on Sobolev spaces with variable exponent and applications
Stefano Almi, Maicol Caponi, Manuel Friedrich +1
We present extensions of rigidity estimates and of Korn's inequality to the setting of (mixed) variable exponents growth. The proof techniques, based on a classical covering argume…
Generalized bounded deformation in non-Euclidean settings
Stefano Almi, Emanuele Tasso
We introduce a new space of generalized functions of bounded deformation , made of functions u whose one-dimensional slice has bounded variation in a ge…
Optimal control problems in transport dynamics with additive noise
Stefano Almi, Marco Morandotti, Francesco Solombrino
Motivated by the applications, a class of optimal control problems is investigated, where the goal is to influence the behavior of a given population through another controlled one…
Lower semicontinuity and relaxation for free discontinuity functionals with non-standard growth
Stefano Almi, Dario Reggiani, Francesco Solombrino
A lower semicontinuity result and a relaxation formula for free discontinuity functionals with non-standard growth in the bulk energy are provided. Our analysis is based on a non-t…
A general criterion for jump set slicing and applications
Stefano Almi, Emanuele Tasso
In this paper a novel criterion for the slicing of the jump set of a function is provided, which bypasses the codimension-one and the parallelogram law techniques developed in …
Mean-field limits for entropic multi-population dynamical systems
Stefano Almi, Claudio D'Eramo, Marco Morandotti +1
The well-posedness of a multi-population dynamical system with an entropy regularization and its convergence to a suitable mean-field approximation are proved, under a general set…
Non-interpenetration conditions in the passage from nonlinear to linearized Griffith fracture
Stefano Almi, Elisa Davoli, Manuel Friedrich
We characterize the passage from nonlinear to linearized Griffith-fracture theories under non-interpenetration constraints. In particular, sequences of deformations satisfying a Ci…