Patrick Flynn's Webpage

I am a Gibbs assistant professor at Yale. My interests are in partial differential equations, kinetic theory, and fluid mechanics. You can find my CV here.

Papers

• "Linear decay of the β-plane model near Couette flow on the plane" (with Jacob Bedrossian and Sameer Iyer). arXiv preprint arXiv:2511.00667 (2025) [link]

• "Negative regularity mixing for random volume preserving diffeomorphisms" (with Jacob Bedrossian and Sam Punshon-Smith). Annals of Probability (to appear). [link]
• "Local well-posedness of the Vlasov-Poisson-Landau System and related models." Kinetic and Related Models (2024): 0-0. [link]
• "The Massless Electron Limit of the Vlasov-Poisson-Landau System" (with Yan Guo). Communications in Mathematical Physics 405.2 (2024): 27. [link]
• "Scattering map for the Vlasov–Poisson system" (with Zhimeng Ouyang, Benoit Pausader and Klaus Widmayer). Peking Mathematical Journal (2021): 1-28. [link]
• "The vanishing surface tension limit of the Muskat problem" (with Huy Nguyen). Communications in Mathematical Physics 382.2 (2021): 1205-1241. [link]
• "Self-organized clusters in diffusive run-and-tumble processes" (with Quinton Neville and Arnd Scheel). Discrete and Continuous Dynamical Systems-Series S 13.4 (2019): 1187-1208.

• [Desmos]
• [Integral Calculator]

• [Geoguessr]
• [Project Sand]