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math.AP2024★ 1 cited
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 boun…
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…
math.AP2024
Stability of the Favorable Falkner-Skan Profiles for the Stationary Prandtl Equations
Sameer Iyer
The (favorable) Falkner-Skan boundary layer profiles are a one parameter () family of self-similar solutions to the stationary Prandtl system which describes the flow o…