1 citations · 2 across the 9 of their papers we have counts for
9 papers
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 in the background of a Couette flow. We show that when the background Couette flo…
Enhanced dissipation and blow-up suppression for an aggregation equation with fractional diffusion and shear flow
Niu Binqian, Binbin Shi, Weike Wang
In this paper, we consider an aggregation equation with fractional diffusion and large shear flow, which arise from modelling chemotaxis in bacteria. Without the advection, the sol…
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 on torus $\mathbb{T}^3=\{(x_1,x_2,y)\big|x_1,x_2\in \mathbb{T}_{…
Suppression of blow-up in 3-D Keller-Segel model via Couette flow in whole space
Shijin Deng, Binbin Shi, Weike Wang
In this paper, we study the 3-D parabolic-parabolic and parabolic-elliptic Keller-Segel models with Couette flow in . We prove that the blow-up phenomenon of solution…
Enhanced dissipation and blow-up suppression for the three dimensional Keller-Segel equation with a non-shear incompressible flow
Binbin Shi, Weike Wang
In this paper, we consider the Cauchy problem for the three dimensional parabolic-elliptic Keller-Segel equation with a large non-shear incompressible flow. Without advection, ther…
Global well-posedness for a generalized Keller-Segel system with degenerate dissipation and mixing
Binbin Shi, Weike Wang
We study the mixing effect for a generalized Keller-Segel system with degenerate dissipation and advection by a weakly mixing. Here the attractive operator has weak singularity, na…