List of publications
Accepted/Published papers
2025
- Scattering problem for Vlasov-type equations on the d-dimensional torus with Gevrey data
in collaboration with D. Benedetto, E. Caglioti, A. Gagnebin, S. Rossi, to appear on Annales de l’Institut Henri Poincaré C- Analyse non linéaire. - Asymptotic quantization on Riemannian manifolds via covering growth estimates
in collaboration with A. D. Aydin, Adv. Math. 474 (2025), Paper No. 110311. - Derivation of Yudovich solutions of Incompressible Euler from the Vlasov-Poisson system
in collaboration with I. Ben-Porat and A. Rege, SIAM J. Math. Anal. (2025), no. 1, 886–906.
2024
- Enhanced Stability in Quantum Optimal Transport Pseudometrics: From Hartree to Vlasov-Poisson
in collaboration with L. Lafleche, J. Stat. Phys. 191 (2024), no. 12, Paper No. 157, 18 pp. - Stability estimates for the Vlasov-Poisson system in p-kinetic Wasserstein distances
in collaboration with J. Junné, Bull. Lond. Math. Soc. 56 (2024), no. 7, 2250–2267. - On the local uniqueness of steady states for the Vlasov-Poisson system, J. Funct. Anal. 286 (2024), no. 7.
2023
- Landau damping on the torus for the Vlasov-Poisson system with massless
electrons
in collaboration with A. Gagnebin, J. of Differential Equations 376 (2023), 154 - 203. - Global well-posedness of Vlasov-Poisson-type systems in bounded domains
in collaboration with L. Cesbron, Anal. PDE 16 (2023), no. 10, 2465 - 2494.
2022
- A new perspective on Wasserstein distances for kinetic problems
Arch. Ration. Mech. Anal. 244 (2022), no. 1, 27 - 50. - Recent developments on quasineutral limits for Vlasov-type equations
in collaboration with M. Griffin-Pickering, Recent advances in kinetic equations and applications, Springer INdAM Series, no. 48, (2022).
2021
- From Newton’s second law to Euler’s equations of perfect fluids
in collaboration with D. Han-Kwan, Proc. Amer. Math Soc., 149 (2021), no. 7 3045 - 3061. - Global strong solutions in $R^3$ for ionic Vlasov-Poisson systems
in collaboration with M. Griffin-Pickering, Kinetic and Related Models, 14 (2021), no. 4, 571-597. - Global well-posedness for the Vlasov-Poisson system with massless electrons in the 3-dimensional torus
in collaboration with M. Griffin-Pickering, Communications in Partial Differential Equations, 46 (2021), no. 10, 1892 - 1939. - Recent developments on the well-posedness theory for Vlasov-type equations
in collaboration with M. Griffin-Pickering, Proceedings of the conference Particle Systems and Partial Differential Equations editions VI, VII and VIII, (2021).
2020
- Singular Limits for Plasmas with Thermalised Electrons
in collaboration with M. Griffin-Pickering, J. Math. Pures Appl., (9) 135 (2020), 199 - 255.
2019
- Weighted ultrafast diffusion equations: from well-posedness to long-time behaviour
in collaboration with F. S. Patacchini and F. Santambrogio, Arch. Ration. Mech. Anal., 232 (2019), no. 3, pages 1165 – 1206. - Asymptotic analysis for a very fast diffusion equation arising from the 1D
quantization problem
Discrete Contin. Dyn. Syst. 39 (2019), no 9. 4929 - 4943.
2018
- A gradient flow perspective on the quantization problem
PDE Models for Multi-Agent Phenomena, Springer INdAM Ser, 28 (2018), pages 145–165. - A mean field approach to the quasineutral limit for the Vlasov-Poisson equation
in collaboration with M. Griffin-Pickering, SIAM J. Math. Anal., 50 (2018), no. 5, pages 5502–5536. - Quantization of measures and gradient flows: a perturbative approach in the 2-dimensional case, in collaboration with E. Caglioti and F. Golse, Ann. Inst. H. Poincaré Anal. Non Linéaire, 35 (2018), no. 6, pages 1531–1555.
2017
- Quasineutral limit for Vlasov-Poisson via Wasserstein stability estimates in
higher dimension
in collaboration with D. Han-Kwan, J. Differential Equations, 263 (2017), no. 1, pages 1–25. - The quasineutral limit of the Vlasov-Poisson equation in Wasserstein metric
in collaboration with D. Han-Kwan, Comm. Math. Sci., Vol. 15 (2017), no. 2, pages 481-509.
2016
- Asymptotic quantization for probability measures on Riemannian manifolds
ESAIM Control Optim. Calc. Var., 22 (2016), no. 3, pages 770 - 785.
2015
- A gradient flow approach to quantization of measures
in collaboration with E. Caglioti and F. Golse, Math. Models Methods Appl. Sci., 25 (2015), no. 10, pages 1845-1885.
Preprints
- Stability in Quasineutral Plasmas with Thermalized Electrons
in collaboration with M. Griffin-Pickering. - On the stability of vacuum in the screened Vlasov-Poisson equation
in collaboration with S. Rossi and K. Widmayer. - From relativistic Vlasov-Maxwell to electron-MHD in the quasineutral regime
in collaboration with A. Gagnebin, A. Rege, S. Rossi.