3 citations · 5 across the 7 of their papers we have counts for
4 papers · 1 filter
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…
Flocking hydrodynamics with external potentials
Ruiwen Shu, Eitan Tadmor
We study the large-time behavior of hydrodynamic model which describes the collective behavior of continuum of agents, driven by pairwise alignment interactions with additional ext…
A study of Landau damping with random initial inputs
Ruiwen Shu, Shi Jin
For the Vlasov-Poisson equation with random uncertain initial data, we prove that the Landau damping solution given by the deterministic counterpart (Caglioti and Maffei, {\it J. S…