110 citations · 178 across the 19 of their papers we have counts for
8 papers · 1 filter
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…
Spectrum of SYK model II: Central limit theorem
Renjie Feng, Gang Tian, Dongyi Wei
In our previous paper \cite{FTD1}, we derived the almost sure convergence of the global density of eigenvalues of random matrices of the SYK model. In this paper, we will prove the…
Spectrum of SYK model III: Large deviations and concentration of measures
Renjie Feng, Gang Tian, Dongyi Wei
In \cite{FTD1}, we proved the almost sure convergence of eigenvalues of the SYK model, which can be viewed as a type of \emph{law of large numbers} in probability theory; in \cite{…
Small gaps of circular -ensemble
Renjie Feng, Dongyi Wei
In this article, we study the smallest gaps of the log-gas -ensemble on the unit circle (CE), where is any positive integer. The main result is that the smallest gaps, af…