511 citations · 1.7k across the 69 of their papers we have counts for
73 papers
Suppression of chemotactic singularity by buoyancy
Zhongtian Hu, Alexander Kiselev, Yao Yao
Chemotactic singularity formation in the context of the Patlak-Keller-Segel equation is an extensively studied phenomenon. In recent years, it has been shown that the presence of f…
Phase transition in a periodic tubular structure
Alexander V. Kiselev, Kirill Ryadovkin
We consider an -periodic () tubular structure, modelled as a magnetic Laplacian on a metric graph, which is periodic along a single axis. We show tha…
Small scale formation for the 2D Boussinesq equation
Alexander Kiselev, Jaemin Park, Yao Yao
We study the 2D incompressible Boussinesq equation without thermal diffusion, and aim to construct rigorous examples of small scale formations as time goes to infinity. In the visc…
On nonexistence of splash singularities for the -SQG patches
Alexander Kiselev, Xiaoyutao Luo
In this paper, we consider patch solutions to the -SQG equation and derive new criteria for the absence of splash singularity where different patches or parts of the same patch…
Stirring Speeds Up Chemical Reaction
Siming He, Alexander Kiselev
We consider absorbing chemical reactions in a fluid flow modeled by the coupled advection-reaction-diffusion equations. In these systems, the interplay between chemical diffusion a…
Random search in fluid flow aided by chemotaxis
Yishu Gong, Siming He, Alexander Kiselev
In this paper, we consider the dynamics of a 2D target-searching agent performing Brownian motion under the influence of fluid shear flow and chemical attraction. The analysis is m…