5 citations · 5 across the 4 of their papers we have counts for
8 papers · 1 filter
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…
On the -critical mass threshold of a Patlak-Keller-Segel-Navier-Stokes system
Yishu Gong, Siming He
In this paper, we proposed a coupled Patlak-Keller-Segel-Navier-Stokes system, which has dissipative free energy. On the plane $\rr^2$, if the total mass of the cells is strictly l…
Inviscid damping and enhanced dissipation of the boundary layer for 2D Navier-Stokes linearized around Couette flow in a channel
Jacob Bedrossian, Siming He
We study the 2D Navier-Stokes equations linearized around the Couette flow in the periodic channel with no-slip boundary conditions in the vanis…
A game of alignment:collective behavior of multi-species
Siming He, Eitan Tadmor
We study the (hydro-)dynamics of multi-species driven by alignment. What distinguishes the different species is the protocol of their interaction with the rest of the crowd: the co…