Ryan Arbon

collaborators

3 papers

math.AP2026

Stability of Stochastically Driven Couette Flow in 2D with Navier Boundary Conditions at high Reynolds number via Averaging Principle

Ryan Arbon, Jacob Bedrossian

We characterize the behavior of stochastic Navier-Stokes on $T \times [- 1, 1]$ with Navier boundary conditions at high Reynolds number when initialized near Couette flow su…

math.AP2025

Enhanced Dissipation, Taylor Dispersion, and Inviscid Damping of Couette flow in the Boussinesq system on the Plane

Ryan Arbon

We consider the quantitative asymptotic stability of the stably stratified Couette flow solution to the 2D fully dissipative nonlinear Boussinesq system on $R^{2}$ with larg…

math.AP2025

Quantitative Hydrodynamic Stability for Couette Flow on Unbounded Domains with Navier Boundary Conditions

Ryan Arbon, Jacob Bedrossian

We prove a stability threshold theorem for 2D Navier-Stokes on three unbounded domains: the whole plane $R \times R$ , the half plane $\mathbb{R} \times [0,\infty)…