Yucheng Wang

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math.AP2025

Suppression of blow-up in 3-D Keller-Segel system with fractional diffusion via Couette flow in whole space

Shijin Deng, Binbin Shi, Weike Wang +1

In this paper, we consider a Keller-Segel model with a fractional diffusion term in $R^{3}$ in the background of a Couette flow. We show that when the background Couette flo…

math.AP2024

Nonlinear stability and transition threshold for the planar helical flow

Binbin Shi, Yucheng Wang

In this paper, we study the nonlinear stability for the 3-D planar helical flow $(I^´^{2} sin (m_{0} y), I^´^{2} cos (m_{0} y), 0)$ on torus $\mathbb{T}^3=\{(x_1,x_2,y)\big|x_1,x_2\in \mathbb{T}…