Marcello Ponsiglione

Pubblicazioni

Titolo Pubblicato in Anno
Two Slope Functions Minimizing Fractional Seminorms and Applications to Misfit Dislocations SIAM JOURNAL ON MATHEMATICAL ANALYSIS 2024
The asymptotics of the area-preserving mean curvature and the Mullins–Sekerka flow in two dimensions MATHEMATISCHE ANNALEN 2023
The variational approach to s-fractional heat flows and the limit cases s → 0+ and s → 1− JOURNAL OF FUNCTIONAL ANALYSIS 2023
Coarse-Graining of a Discrete Model for Edge Dislocations in the Regular Triangular Lattice JOURNAL OF NONLINEAR SCIENCE 2023
Long time behavior of discrete volume preserving mean curvature flows JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK 2022
Vectorial crystallization problems and collective behavior JOURNAL OF MATHEMATICAL BIOLOGY 2022
The core-radius approach to supercritical fractional perimeters, curvatures and geometric flows NONLINEAR ANALYSIS 2022
Failure of crystallization for generalized Lennard–Jones potentials and coarse graining to a rotating stars problem in one dimension NONLINEAR ANALYSIS 2022
Stability results for nonlocal geometric evolutions and limit cases for fractional mean curvature flows COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 2021
Variational models in elasticity Variational models in elasticity 2021
The 0-fractional perimeter between fractional perimeters and Riesz potentials ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE 2021
Low energy configurations of topological singularities in two dimensions: A convergence analysis of dipoles COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 2020
Uniform distribution of dislocations in Peierls–Nabarro models for semi-coherent interfaces CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 2020
Attractive Riesz potentials acting on hard spheres NONLINEARITY 2020
Generalized crystalline evolutions as limits of flows with smooth anisotropies ANALYSIS & PDE 2019
Existence and uniqueness for anisotropic and crystalline mean curvature flows JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY 2019
Γ -Convergence of the Heitmann–Radin Sticky Disc Energy to the Crystalline Perimeter JOURNAL OF NONLINEAR SCIENCE 2019
A variational model for dislocations at semi-coherent interfaces JOURNAL OF NONLINEAR SCIENCE 2017
Minimising movements for the motion of discrete screw dislocations along glide directions CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 2017
Γ-Convergence Analysis of a Generalized XY Model: Fractional Vortices and String Defects COMMUNICATIONS IN MATHEMATICAL PHYSICS 2017

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