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math.AP2025
Linear decay of the beta-plane equation near Couette flow on the plane
Jacob Bedrossian, Patrick Flynn, Sameer Iyer
We prove new time decay estimates for the linearized -plane equation near the Couette flow on the plane that combine inviscid damping and the dispersion of Rossby waves. Specifi…
math.AP2024
Negative regularity mixing for random volume preserving diffeomorphisms
Jacob Bedrossian, Patrick Flynn, Sam Punshon-Smith
We consider the negative regularity mixing properties of random volume preserving diffeomorphisms on a compact manifold without boundary. We give general criteria so that the assoc…
math.AP2023
Local well-posedness of the Vlasov-Poisson-Landau system and related models
Patrick Flynn
We prove local well-posedness for the Vlasov-Poisson-Landau system and the variant with massless electrons in a 3D periodic spatial domain for large initial data. This is accomplis…