4 citations · 17 across the 12 of their papers we have counts for
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Dynamics of Particles on a Curve with Pairwise Hyper-singular Repulsion
Douglas Hardin, Edward B. Saff, Ruiwen Shu +1
We investigate the large time behavior of particles restricted to a smooth closed curve in and subject to a gradient flow with respect to Euclidean hyper-singula…
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…
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…
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…