Marcello Ponsiglione

Sapienza University of Rome — Italy

Computer Science · Physical Sciences

19h-index1.3kcitations100works0.72yr avg
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Research Topics

Advanced Mathematical Modeling in Engineering(50), Nonlinear Partial Differential Equations(42), Geometric Analysis and Curvature Flows(29), Composite Material Mechanics(25), Numerical methods in engineering(12)

Publications100 total

Parabolic α-Riesz flows and limit cases α → 0+, α → d−
Journal d Analyse Mathématique·2025
A notion of s-fractional mass for 1-currents in higher codimension
Mathematische Annalen·2025Open Access
Dynamics of screened particles towards equi-spaced ground states
arXiv (Cornell University)·2025Open Access
A notion of $s$-fractional mass for $1$-currents in higher codimension
arXiv (Cornell University)·2024Open Access
Γ-convergence analysis of the nonlinear self-energy induced by edge dislocations in semi-discrete and discrete models in two dimensions
Advances in Calculus of Variations·2024· 3 cited
Two Slope Functions Minimizing Fractional Seminorms and Applications to Misfit Dislocations
SIAM Journal on Mathematical Analysis·2024· 1 cited
Parabolic $α$-Riesz flows and limit cases $α\to 0^+$, $α\to d^-$
arXiv (Cornell University)·2023Open Access
$Γ$-convergence analysis of the nonlinear self-energy induced by edge dislocations in semi-discrete and discrete models in two dimensions
arXiv (Cornell University)·2023Open Access
Coarse-Graining of a Discrete Model for Edge Dislocations in the Regular Triangular Lattice
Journal of Nonlinear Science·2023· 6 citedOpen Access
The variational approach to s-fractional heat flows and the limit cases s → 0+ and s → 1−
Journal of Functional Analysis·2023· 18 citedOpen Access
The asymptotics of the area-preserving mean curvature and the Mullins–Sekerka flow in two dimensions
Mathematische Annalen·2022· 11 citedOpen Access
Two slope functions minimizing fractional seminorms and applications to misfit dislocations
arXiv (Cornell University)·2022Open Access
Failure of crystallization for generalized Lennard–Jones potentials and coarse graining to a rotating stars problem in one dimension
Nonlinear Analysis·2022· 1 citedOpen Access
Long time behavior of discrete volume preserving mean curvature flows
Journal für die reine und angewandte Mathematik (Crelles Journal)·2022· 13 citedOpen Access
Coarse-graining of a discrete model for edge dislocations in the regular triangular lattice
arXiv (Cornell University)·2022Open Access
The Asymptotics of the Area-Preserving Mean Curvature and the Mullins-Sekerka Flow in Two Dimensions
arXiv (Cornell University)·2021· 1 citedOpen Access
Vectorial crystallization problems and collective behavior
Journal of Mathematical Biology·2021· 1 citedOpen Access
The core-radius approach to supercritical fractional perimeters, curvatures and geometric flows
Nonlinear Analysis·2021· 11 citedOpen Access
The variational approach to $s$-fractional heat flows and the limit cases $s\to 0^+$ and $s\to 1^-$
arXiv (Cornell University)·2021Open Access
The 0-fractional perimeter between fractional perimeters and Riesz potentials
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE·2021· 15 citedOpen Access
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Frequent Co-authors

Lucia De Luca(14), Massimiliano Morini(9), Alessandro Giacomini(9), Antonin Chambolle(8), Adriana Garroni(7), Roberto Alicandro(7), Matteo Novaga(7), Mariapia Palombaro(5), Marco Cicalese(3), François Ebobisse(3), Emanuele Spadaro(3), Vincenzo Nesi(2), Gianni Dal Maso(2), Andrea Kubin(2), Silvio Fanzon(2), Giovanni Leoni(1), Matteo Focardi(1), Maria Stella Gelli(1), Marco Barchiesi(1), Seung Hee Kang(1)