110 citations · 179 across the 20 of their papers we have counts for
5 papers · 2 filters
Diffusion and mixing in fluid flow via the resolvent estimate
Dongyi Wei
In this paper, we first present a Gearhardt-Prüss type theorem with a sharp bound for m-accretive operators. Then we give two applications: (1) give a simple proof of the result pr…
Linear inviscid damping for the -plane equation
Dongyi Wei, Zhifei Zhang, Hao Zhu
In this paper, we study the linear inviscid damping for the linearized -plane equation around shear flows. We develop a new method to give the explicit decay rate of the velocit…
Transition threshold for the 2-D Couette flow in a finite channel
Qi Chen, Te Li, Dongyi Wei +1
In this paper, we study the transition threshold problem for the 2-D Navier-Stokes equations around the Couette flow at large Reynolds number in a finite channel. We d…
Transition threshold for the 3D Couette flow in Sobolev space
Dongyi Wei, Zhifei Zhang
In this paper, we study the transition threshold of the 3D Couette flow in Sobolev space at high Reynolds number . It was proved that if the initial velocity satis…
Pseudospectral bound and transition threshold for the 3D Kolmogorov flow
Te Li, Dongyi Wei, Zhifei Zhang
In this paper, we establish the pseudospectral bound for the linearized operator of the Navier-Stokes equations around the 3D Kolmogorov flow. Using the pseudospectral bound and th…