Ulisse Stefanelli
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Research Subjects
Ulisse Stefanelli has a total of 133 co-authors. Here are the top co-authors by number of shared publications:
- Manuel Friedrich
Department of Mathematics, Friedrich-Alexander Universität Erlangen-Nürnberg, Erlangen, Germany
21 shared publications - Martin Kružík
Institute of Information Theory and Automation, Czech Academy of Sciences, Prague 8, Czechia
15 shared publications - Alexander Mielke
Weierstraß-Institut für Angewandte Analysis und Stochastik, Berlin, Germany
11 shared publications - Elisa Davoli
Institute of Analysis and Scientific Computing, TU Wien, Vienna, Austria
11 shared publications - Ferdinando Auricchio
Department of Civil Engineering and Architecture, University of Pavia, Pavia, Italy
11 shared publications - Goro Akagi
Mathematical Institute and Graduate School of Science, Tohoku University, Sendai, Japan
10 shared publications
Latest Publications
- Open Access
- 27 September 2026
- Published by Springer Nature in Communications in Mathematical Physics
- Vol. 407 (11) , 241
Crystallization in the Winterbottom Shape and Sharp Fluctuation Laws
We address finite crystallization in two dimensions in the presence of a flat crystalline substrate. Particles interact through short-range two- and three-body potentials favoring local square-lattice arrangements. An additional interaction term of relative strength $$\beta >0$$ couples the particles and the substrate. Our first main result proves crystallization for all $$\beta >0$$ , corresponding to the onset of discrete Winterbottom configurations. The proof relies on a stratification technique from [31], characterizing the topology of the bond graph of minimizing configurations. Our second main result concerns fluctuations estimates for $$\beta \in (0,1)$$ . We obtain bounds on the distance between distinct minimizers with the same number N of particles, showing a sharp scaling law $$N^{3/4}$$ when $$\beta $$ is rational, and $$N^{1/3}$$ when $$\beta $$ is irrational and algebraic. This reveals a genuine substrate-driven effect on fluctuation laws. As a corollary, we derive a discrete-to-continuum convergence of minimizers towards the Winterbottom equilibrium shape in the large-particle limit.- 27 September 2026
- Published by Springer Nature in Communications in Mathematical Physics
- Vol. 407 (11) , 241
Open AccessCrystallization in the Winterbottom Shape and Sharp Fluctuation Laws
We address finite crystallization in two dimensions in the presence of a flat crystalline substrate. Particles interact through short-range two- and three-body potentials favoring local square-lattice arrangements. An additional interaction term of relative strength $$\beta >0$$ couples the particles and the substrate. Our first main result proves crystallization for all $$\beta >0$$ , corresponding to the onset of discrete Winterbottom configurations. The proof relies on a stratification technique from [31], characterizing the topology of the bond graph of minimizing configurations. Our second main result concerns fluctuations estimates for $$\beta \in (0,1)$$ . We obtain bounds on the distance between distinct minimizers with the same number N of particles, showing a sharp scaling law $$N^{3/4}$$ when $$\beta $$ is rational, and $$N^{1/3}$$ when $$\beta $$ is irrational and algebraic. This reveals a genuine substrate-driven effect on fluctuation laws. As a corollary, we derive a discrete-to-continuum convergence of minimizers towards the Winterbottom equilibrium shape in the large-particle limit. - Open Access
- 12 May 2026
- Published by Elsevier in Nonlinear Analysis
- Vol. 271
Long-time behavior of the tangential surface Navier–Stokes equation
- 12 May 2026
- Published by Elsevier in Nonlinear Analysis
- Vol. 271
Open AccessLong-time behavior of the tangential surface Navier–Stokes equation
- 25 March 2026
- Published by Elsevier in Journal of Differential Equations
- Vol. 469
Level sets of solutions to the stationary Hamilton–Jacobi equation are John regular
- 25 March 2026
- Published by Elsevier in Journal of Differential Equations
- Vol. 469
Level sets of solutions to the stationary Hamilton–Jacobi equation are John regular
- 17 November 2025
- Published by Springer Nature in Journal of Elasticity
- Vol. 158 (1) , 2
Existence for Accreting Viscoelastic Solids at Large Strains
- 17 November 2025
- Published by Springer Nature in Journal of Elasticity
- Vol. 158 (1) , 2
Existence for Accreting Viscoelastic Solids at Large Strains
- Open Access
- 10 November 2025
- Published by European Mathematical Society - EMS - Publishing House GmbH in Oberwolfach Reports
- Vol. 22 (2) , 1163-1214
Singularities in Discrete Systems
Discrete systems are ubiquitous in applications. Their analysis and simulation call for taming their inherent multiscale character, as microscopic dynamics lead to the emergence of structures across scales. This workshop brought together leading experts in the calculus of variations, discrete systems, and materials science to explore cutting-edge topics at the intersection of mathematics and physical modelling. Presentations spanned a variety of themes, including dislocation dynamics, crystallization, micromagnetics, fracture mechanics, and discrete-to-continuum transitions. Particular emphasis was placed on the rigorous analysis of singular structures, nonlocal interactions, and energy-driven pattern formation. Several talks also underscored emerging connections with data science.
- 10 November 2025
- Published by European Mathematical Society - EMS - Publishing House GmbH in Oberwolfach Reports
- Vol. 22 (2) , 1163-1214
Open AccessSingularities in Discrete Systems
Discrete systems are ubiquitous in applications. Their analysis and simulation call for taming their inherent multiscale character, as microscopic dynamics lead to the emergence of structures across scales. This workshop brought together leading experts in the calculus of variations, discrete systems, and materials science to explore cutting-edge topics at the intersection of mathematics and physical modelling. Presentations spanned a variety of themes, including dislocation dynamics, crystallization, micromagnetics, fracture mechanics, and discrete-to-continuum transitions. Particular emphasis was placed on the rigorous analysis of singular structures, nonlocal interactions, and energy-driven pattern formation. Several talks also underscored emerging connections with data science.
- Open Access
Crystallization in the Winterbottom shape and sharp fluctuation laws
We address finite crystallization in two dimensions in the presence of a flat crystalline substrate. Particles interact through short-range two- and three-body potentials favoring local square-lattice arrangements. An additional interaction term of relative strength $β>0$ couples the particles and the substrate. Our first main result proves crystallization for all $β>0$, corresponding to the onset of discrete Winterbottom configurations. The proof relies on a stratification technique from [31], characterizing the topology of the bond graph of minimizing configurations. Our second main result concerns fluctuations estimates for $β\in (0,1)$. We obtain bounds on the distance between distinct minimizers with the same number $N$ of particles, showing a sharp scaling law $N^{3/4}$ when $β$ is rational, and $N^{1/3}$ when $β$ is irrational and algebraic. This reveals a genuine substrate-driven effect on fluctuation laws. As a corollary, we derive a discrete-to-continuum convergence of minimizers towards the Winterbottom equilibrium shape in the large-particle limit.Open AccessCrystallization in the Winterbottom shape and sharp fluctuation laws
We address finite crystallization in two dimensions in the presence of a flat crystalline substrate. Particles interact through short-range two- and three-body potentials favoring local square-lattice arrangements. An additional interaction term of relative strength $β>0$ couples the particles and the substrate. Our first main result proves crystallization for all $β>0$, corresponding to the onset of discrete Winterbottom configurations. The proof relies on a stratification technique from [31], characterizing the topology of the bond graph of minimizing configurations. Our second main result concerns fluctuations estimates for $β\in (0,1)$. We obtain bounds on the distance between distinct minimizers with the same number $N$ of particles, showing a sharp scaling law $N^{3/4}$ when $β$ is rational, and $N^{1/3}$ when $β$ is irrational and algebraic. This reveals a genuine substrate-driven effect on fluctuation laws. As a corollary, we derive a discrete-to-continuum convergence of minimizers towards the Winterbottom equilibrium shape in the large-particle limit. - 2 September 2025
- Published by Springer Nature in Continuum Mechanics and Thermodynamics
- Vol. 37 (5) , 1-24
A model of gravitational differentiation of compressible self-gravitating planets
- 2 September 2025
- Published by Springer Nature in Continuum Mechanics and Thermodynamics
- Vol. 37 (5) , 1-24
A model of gravitational differentiation of compressible self-gravitating planets
- Open Access
Existence for accreting viscoelastic solids at large strains
By revisiting a model proposed in [45], we address the accretive growth of a viscoelastic solid at large strains. The accreted material is assumed to accumulate at the boundary of the body in an unstressed state. The growth process is driven by the deformation state of the solid. The progressive build-up of incompatible strains in the material is modeled by considering an additional backstrain. The model is regularized by postulating the presence of a fictitious compliant material surrounding the accreting body. We show the existence of solutions to the coupled accretion and viscoelastic equilibrium problem.
Open AccessExistence for accreting viscoelastic solids at large strains
By revisiting a model proposed in [45], we address the accretive growth of a viscoelastic solid at large strains. The accreted material is assumed to accumulate at the boundary of the body in an unstressed state. The growth process is driven by the deformation state of the solid. The progressive build-up of incompatible strains in the material is modeled by considering an additional backstrain. The model is regularized by postulating the presence of a fictitious compliant material surrounding the accreting body. We show the existence of solutions to the coupled accretion and viscoelastic equilibrium problem.
- 21 August 2025
- Published by Springer Nature in The Journal of Geometric Analysis
- Vol. 35 (10) , 1-27
The $\ell _1$ Double-Bubble Problem in Three Dimensions- 21 August 2025
- Published by Springer Nature in The Journal of Geometric Analysis
- Vol. 35 (10) , 1-27
The $\ell _1$ Double-Bubble Problem in Three Dimensions- Open Access
Global well-posedness for a time-fractional doubly nonlinear equation
We consider a time-fractional parabolic equation of doubly nonlinear type, featuring nonlinear terms both inside and outside the differential operator in time. The main nonlinearities are maximal monotone graphs, without restrictions on the growth. In addition, a Lipschitz continuous perturbation is considered. The existence of global weak solutions is obtained via a regularization and Galerkin approximation method. Uniqueness is also discussed under some additional assumptions.
Open AccessGlobal well-posedness for a time-fractional doubly nonlinear equation
We consider a time-fractional parabolic equation of doubly nonlinear type, featuring nonlinear terms both inside and outside the differential operator in time. The main nonlinearities are maximal monotone graphs, without restrictions on the growth. In addition, a Lipschitz continuous perturbation is considered. The existence of global weak solutions is obtained via a regularization and Galerkin approximation method. Uniqueness is also discussed under some additional assumptions.