2 citations · 3 across the 6 of their papers we have counts for
6 papers · 1 filter
Couette Flow with Robin Boundary Condition (I): the viscosity-independent friction
Siming He, Binqian Niu, Weiren Zhao
This article is the first paper in the series. In this series of articles, we will examine the influence of the friction factor at the solid--fluid boundary on the stability of…
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…
Transition Threshold for Strictly Monotone Shear Flows in Sobolev Spaces
Rajendra Beekie, Siming He
We study the stability of spectrally stable, strictly monotone, smooth shear flows in the 2D Navier-Stokes equations on with small viscosity . We…
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…
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…
Stability threshold of nearly-Couette shear flows with Navier boundary conditions in 2D
Jacob Bedrossian, Siming He, Sameer Iyer +1
In this work, we prove a threshold theorem for the 2D Navier-Stokes equations posed on the periodic channel, , supplemented with Navier boundary condition…