32 citations · 67 across the 22 of their papers we have counts for
9 papers · 1 filter
Existence of radial global smooth solutions to the pressureless Euler-Poisson equations with quadratic confinement
José A. Carrillo, Ruiwen Shu
We consider the pressureless Euler-Poisson equations with quadratic confinement. For spatial dimension , we give a necessary and sufficient condition for the exist…
Minimizers of 3D anisotropic interaction energies
José A. Carrillo, Ruiwen Shu
We study a large family of axisymmetric Riesz-type singular interaction potentials with anisotropy in three dimensions. We generalize some of the results of our recent work in two…
Global Minimizers of a Large Class of Anisotropic Attractive-Repulsive Interaction Energies in 2D
José A. Carrillo, Ruiwen Shu
We study a large family of Riesz-type singular interaction potentials with anisotropy in two dimensions. Their associated global energy minimizers are given by explicit formulas wh…
From radial symmetry to fractal behavior of aggregation equilibria for repulsive-attractive potentials
José A. Carrillo, Ruiwen Shu
For the interaction energy with repulsive-attractive potentials, we give generic conditions which guarantee the radial symmetry of the local minimizers in the infinite Wasserstein…
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…
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…