43 citations · 117 across the 16 of their papers we have counts for
4 papers · 1 filter
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…
Small scale creation for solutions of the SQG equation
Siming He, Alexander Kiselev
We construct examples of solutions to the conservative surface quasi-geostrophic (SQG) equation that must either exhibit infinite in time growth of derivatives or blow up in finite…
Multi-species Patlak-Keller-Segel system
Siming He, Eitan Tadmor
We study the regularity and large-time behavior of a crowd of species driven by chemo-tactic interactions. What distinguishes the different species is the way they interact with th…