Preprints
- Kinetic-type Mean Field Games with Non-separable Local Hamiltonians.
arXiv:2403.12829 (with David Ambrose and Alpár Mészáros) - Stability in Quasineutral Plasmas with Thermalized Electrons.
arXiv:2307.07561 (with Mikaela Iacobelli)
Journal Articles
- A variational approach to first order kinetic Mean Field Games with local couplings.
Communications in Partial Differential Equations, 47 (2022), No. 10, pp. 1945-2022 (with Alpár Mészáros | preprint) - Global strong solutions in R3 for ionic Vlasov-Poisson systems.
Kinetic and Related Models, 14 (2021), No. 4, pp. 571-597 (with Mikaela Iacobelli | preprint) - Global well-posedness for the Vlasov-Poisson system with massless electrons in the 3-dimensional torus.
Communications in Partial Differential Equations, 46 (2021), No. 10, pp. 1892-1939 (with Mikaela Iacobelli | preprint) - Singular Limits for Plasmas with Thermalised Electrons.
Journal de Mathématiques Pures et Appliquées 135 (2020), pp. 199-255 (with Mikaela Iacobelli | preprint) - A mean field approach to the quasineutral limit for the Vlasov-Poisson equation.
SIAM Journal on Mathematical Analysis, 50 (2018), No. 5. pp. 5502 – 5536 (with Mikaela Iacobelli | preprint)
Conference Proceedings
- Recent Developments on Quasineutral Limits for Vlasov-Type Equations. (2021)
In: Salvarani, F. (eds) Recent Advances in Kinetic Equations and Applications. Springer INdAM Series, vol 48. Springer, Cham. (with Mikaela Iacobelli | preprint) - Recent Developments on the Well-Posedness Theory for Vlasov-Type Equations. (2021)
In: Bernardin, C., Golse, F., Gonçalves, P., Ricci, V., Soares, A.J. (eds) From Particle Systems to Partial Differential Equations. ICPS ICPS ICPS 2019 2018 2017. Springer Proceedings in Mathematics & Statistics, vol 352. Springer, Cham. (with Mikaela Iacobelli | preprint)
PhD Thesis
- Contributions to the Derivation and Well-posedness Theory of Kinetic Equations (2020)
Thesis, University of Cambridge. Supervised by Mikaela Iacobelli & Clément Mouhot
Megan Griffin-Pickering 