43 citations · 117 across the 16 of their papers we have counts for
16 papers
Enhanced dissipation and blow-up suppression in a chemotaxis-fluid system
Siming He
In this paper, we investigate a coupled Patlak-Keller-Segel-Navier-Stokes (PKS-NS) system. We show that globally regular solutions with arbitrary large cell populations exist. The…
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…
On the Fast Spreading Scenario
Siming He, Eitan Tadmor, Andrej Zlatoš
We study two types of divergence-free fluid flows on unbounded domains in two and three dimensions -- hyperbolic and shear flows -- and their influence on chemotaxis and combustion…
Enhanced dissipation, hypoellipticity for passive scalar equations with fractional dissipation
Siming He
We consider the passive scalar equations subject to shear flow advection and fractional dissipation. The enhanced dissipation estimates are derived. For classical passive scalar eq…
Boundary layer models of the Hou-Luo scenario
Siming He, Alexander Kiselev
Finite time blow up vs global regularity question for 3D Euler equation of fluid mechanics is a major open problem. Several years ago, Luo and Hou \cite{HouLuo14} proposed a new fi…