4 citations · 17 across the 12 of their papers we have counts for
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math.AP2020
Newtonian repulsion and radial confinement: convergence towards steady state
Ruiwen Shu, Eitan Tadmor
We investigate the large time behavior of multi-dimensional aggregation equations driven by Newtonian repulsion, and balanced by radial attraction and confinement. In case of Newto…
math.AP2020
Geometric Structure of Mass Concentration Sets for Pressureless Euler Alignment Systems
Daniel Lear, Trevor M. Leslie, Roman Shvydkoy +1
We study the limiting dynamics of the Euler Alignment system with a smooth, heavy-tailed interaction kernel and unidirectional velocity . We dem…
math.AP2020
Multi-flocks: emergent dynamics in systems with multi-scale collective behavior
Roman Shvydkoy, Eitan Tadmor
We study the multi-scale description of large-time collective behavior of agents driven by alignment. The resulting multi-flock dynamics arises naturally with realistic initial con…