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math.AP2021
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…
math.AP2021★ 1 cited
Dissipation enhancement of planar helical flows and applications to three-dimensional Kuramoto-Sivashinsky and Keller-Segel equations
Yuanyuan Feng, Binbin Shi, Weike Wang
We introduce the planar helical flows on three dimensional torus and study the dissipation enhancement of such flows. We then use such flows as transport flows to solve the three d…
math.AP2021
Suppression of blow up by mixing in generalized Keller-Segel system with fractional dissipation and strong singular kernel
Binbin Shi
In this paper, we consider the Cauchy problem for a generalized parabolic-elliptic Keller-Segel equation with a fractional dissipation and advection by a weakly mixing (see Definit…