List of publications

Accepted/Published papers

2024

• Derivation of Yudovich solutions of Incompressible Euler from the Vlasov-Poisson system in collaboration with Immanuel Ben-Porat and Alexandre Rege, to appear on SIAM J. Math. Anal.
• Enhanced Stability in Quantum Optimal Transport Pseudometrics: From Hartree to Vlasov-Poisson in collaboration with Laurent Lafleche, to appear on J. Stat. Phys.
• Stability estimates for the Vlasov-Poisson system in p-kinetic Wasserstein distances in collaboration with Jonathan 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 (with Antoine Gagnebin), J. of Differential Equations 376 (2023), 154 - 203.
• Global well-posedness of Vlasov-Poisson-type systems in bounded domains (with Ludovic 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 (with Megan 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 (with Daniel Han-Kwan)
  Proc. Amer. Math Soc., 149 (2021), no. 7 3045 - 3061.
• Global strong solutions in $R^3$ for ionic Vlasov-Poisson systems (with Megan 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 (with Megan Griffin-Pickering) . Communications in Partial Differential Equations, 46 (2021), no. 10, 1892 - 1939.
• Recent developments on the well-posedness theory for Vlasov-type equations (with Megan 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 (with Megan Griffin-Pickering)
  J. Math. Pures Appl., (9) 135 (2020), 199 - 255.

2019

• Weighted ultrafast diffusion equations: from well-posedness to long-time behaviour (with Francesco S. Patacchini and Filippo 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 (with Megan 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, (with Emanuele Caglioti and François 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 (with Daniel Han-Kwan)
  J. Differential Equations, 263 (2017), no. 1, pages 1–25.
• The quasineutral limit of the Vlasov-Poisson equation in Wasserstein metric (with Daniel 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 (with Emanuele Caglioti and François Golse)
  Math. Models Methods Appl. Sci., 25 (2015), no. 10, pages 1845-1885.

Preprints

• Asymptotic quantization on Riemannian manifolds via covering growth estimates in collaboration with Ata Deniz Aydin.
• Stability in Quasineutral Plasmas with Thermalized Electrons in collaboration with Megan Griffin-Pickering.
• Scattering problem for Vlasov-type equations on the d-dimensional torus with Gevrey data in collaboration with Dario Benedetto, Emanuele Caglioti, Antoine Gagnebin, Stefano Rossi.
• On the stability of vacuum in the screened Vlasov-Poisson equation in collaboration with Stefano Rossi and Klaus Widmayer.