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math.AP2025
Stability threshold of close-to-Couette shear flows with no-slip boundary conditions in 2D
Jacob Bedrossian, Siming He, Sameer Iyer +2
In this paper, we develop a stability threshold theorem for the 2D incompressible Navier-Stokes equations on the channel, supplemented with the no-slip boundary condition. The init…
math.AP2024
Uniform Inviscid Damping and Inviscid Limit of the 2D Navier-Stokes equation with Navier Boundary Conditions
Jacob Bedrossian, Siming He, Sameer Iyer +1
We consider the 2D, incompressible Navier-Stokes equations near the Couette flow, , set on the channel , supplemented with Navier b…
math.AP2024
Pseudo-Gevrey Smoothing for the Passive Scalar Equations near Couette
Jacob Bedrossian, Siming He, Sameer Iyer +1
In this article, we study the regularity theory for two linear equations that are important in fluid dynamics: the passive scalar equation for (time-varying) shear flows close to C…