STEFANO ROSSI

Dottore di ricerca

ciclo: XXXV

supervisore: G. Panati

Titolo della tesi: Asymptotic and validity problems for Vlasov-type equations

In this thesis we study some asymptotic and validity problems concerning Vlasov-type equations. In the first part of the work we focus on the Landau damping and the long-time behavior of solutions of the Vlasov-HMF and Vlasov-Poisson equations. We do it by looking at the scattering problem, where the asymptotic datum is fixed, in the style of the work [ 17, Bibliog. Part I]. In the second part of the thesis we focus on validity problems for kinetic equations with topological interaction. This interaction does not depend on the metric distance but rather on the proximity rank among the agents and, in the last decade, has been widely used to describe biological systems that exhibit collective behaviors.

Produzione scientifica

11573/1770582 - 2026 - Scattering problem for Vlasov-type equations on the $d$-dimensional torus with Gevrey data

Benedetto, Dario; Caglioti, Emanuele; Gagnebin, Antoine; Iacobelli, Mikaela; Rossi, Stefano - 01a Articolo in rivista

rivista: ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE (Attuale: Paris: Elsevier 1998- Gauthier-Villars:15 rue Gossin, 92543 Montrouge Cedex France:011 33 1 40 926500, Fax: 011 33 1 40 926597) pp. 835-881 - issn: 0294-1449 - wos: WOS:001612086800001 (1) - scopus: 2-s2.0-105041451954 (0)

11573/1770583 - 2026 - On the stability of vacuum in the screened Vlasov–Poisson equation

Iacobelli, Mikaela; Rossi, Stefano; Widmayer, Klaus - 01a Articolo in rivista

rivista: JOURNAL OF THE LONDON MATHEMATICAL SOCIETY (Cambridge University Press / New York:40 West 20th Street:New York, NY 10011:(800)872-7423, (212)924-3900, EMAIL: journals_subscriptions@cup.org, INTERNET: http://www.journals.cambridge.org, Fax: (212)691-3239) pp. - - issn: 0024-6107 - wos: WOS:001677048700036 (1) - scopus: 2-s2.0-105028405554 (1)

11573/1770585 - 2026 - Propagation of chaos for topological models without regularity

Menci, Marta; Paul, Thierry; Rossi, Stefano - 04b Atto di convegno in volume

congresso: Modeling, Analysis, and Control of Multi-Agent Systems Across Scales (Centro De Giorgi, Pisa)

libro: Modeling, Analysis, and Control of Multi-Agent Systems Across Scales - (9783985471034; 9783985476039)

11573/1770580 - 2026 - Numerical modeling of flocking dynamics with topological Interactions

Menci, Marta; Paul, Thierry; Rossi, Stefano; Tenna, Tommaso - 01a Articolo in rivista

rivista: COMMUNICATIONS IN COMPUTATIONAL PHYSICS (Hong Kong : Global Science Press) pp. 240-260 - issn: 1991-7120 - wos: WOS:001658202600009 (0) - scopus: 2-s2.0-105028916036 (0)

11573/1737500 - 2025 - PROPAGATION OF CHAOS AND HYDRODYNAMIC DESCRIPTION FOR TOPOLOGICAL MODELS

Benedetto, D.; Paul, T.; Rossi, S. - 01a Articolo in rivista

rivista: KINETIC AND RELATED MODELS (USA, Springfield: American Institute of Mathematical Sciences P.O. Box 2604 Springfield, MO 65801-2604, USA) pp. 19-34 - issn: 1937-5093 - wos: WOS:001177493400001 (1) - scopus: 2-s2.0-85209992811 (3)

11573/1770456 - 2023 - Propagation of chaos for topological interactions by a coupling technique

Degond, Pierre; Pulvirenti, Mario; Rossi, Stefano - 01a Articolo in rivista

rivista: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI (Zürich: EMS Publishing House-2006 Roma: Accademia nazionale dei Lincei) pp. 641-655 - issn: 1120-6330 - wos: (0) - scopus: 2-s2.0-85182224107 (2)

11573/1584421 - 2022 - Comparison between the Cauchy problem and the scattering problem for the Landau damping in the Vlasov-HMF equation

Benedetto, Dario; Caglioti, Emanuele; Rossi, Stefano - 01a Articolo in rivista

rivista: ASYMPTOTIC ANALYSIS (Amsterdam: North-Holland) pp. 215-238 - issn: 0921-7134 - wos: WOS:000837159200003 (3) - scopus: 2-s2.0-85135747826 (3)

11573/1633437 - 2021 - MEAN-FIELD LIMIT FOR PARTICLE SYSTEMS WITH TOPOLOGICAL INTERACTIONS

Benedetto, D.; Caglioti, E.; Rossi, S. - 01a Articolo in rivista

rivista: MATHEMATICS AND MECHANICS OF COMPLEX SYSTEMS (Berkeley, CA : Mathematical Sciences Publishers, 2013- Università Dell’Aquila, Italy: International Research Center for the Mathematics and Mechanics of Complex Systems) pp. 423-440 - issn: 2326-7186 - wos: WOS:000819472900005 (5) - scopus: 2-s2.0-85129262713 (8)