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math.AP2017
Global regularity of two-dimensional flocking hydrodynamics
Siming He, Eitan Tadmor
We study the systems of Euler equations which arise from agent-based dynamics driven by velocity \emph{alignment}. It is known that smooth solutions of such systems must flock, nam…
math.AP2017★ 1 cited
Eulerian dynamics with a commutator forcing II: flocking
R. Shvydkoy, E. Tadmor
We continue our study of one-dimensional class of Euler equations, introduced in \cite{ST2016}, driven by a forcing with a commutator structure of the form $[\aL_ϕ,u](ρ)=ϕ*(ρu)- (ϕ…