3 papers
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. Specif…
math.AP2024
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…
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…