32 citations · 67 across the 22 of their papers we have counts for
4 papers · 1 filter
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…
Tightness of radially-symmetric solutions to 2D aggregation-diffusion equations with weak interaction forces
Ruiwen Shu
We prove the tightness of radially-symmetric solutions to 2D aggregation-diffusion equations, where the pairwise attraction force is possibly degenerate at large distance. We first…
Equilibration of aggregation-diffusion equations with weak interaction forces
Ruiwen Shu
This paper studies the large time behavior of aggregation-diffusion equations. For one spatial dimension with certain assumptions on the interaction potential, the diffusion index…