2 papers
math.AP2024
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…
math.AP2023
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…