1 citations · 1 across the 7 of their papers we have counts for
7 papers
A family of interaction energy minimizers supported on two intervals
Steven B. Damelin, Ruiwen Shu
In this paper, we consider the one-dimensional interaction energy where the interaction potential $W(x)= -\…
Existence of minimizers for interaction energies with external potentials
Ruiwen Shu
In this paper we study the existence of minimizers for interaction energies with the presence of external potentials. We consider a class of subharmonic interaction potentials, whi…
Extended convexity and uniqueness of minimizers for interaction energies
Ruiwen Shu
Linear interpolation convexity (LIC) has served as the crucial condition for the uniqueness of interaction energy minimizers. We introduce the concept of the LIC radius which exten…
A family of explicit minimizers for interaction energies
Ruiwen Shu
In this paper we consider the minimizers of the interaction energies with the power-law interaction potentials in d…
Break of radial symmetry for a class of attractive-repulsive interaction energy minimizers
Ruiwen Shu
Break of radial symmetry for interaction energy minimizers is a phenomenon where a radial interaction potential whose associated energy minimizers are never radially symmetric. Num…
Wasserstein-infinity stability and mean field limit of discrete interaction energy minimizers
Ruiwen Shu
In this paper we give a quantitative stability result for the discrete interaction energy on the multi-dimensional torus, for the periodic Riesz potential. It states that if the nu…
To blow-up or not to blow-up for a granular kinetic equation
José A. Carrillo, Ruiwen Shu, Li Wang +1
A simplified kinetic description of rapid granular media leads to a nonlocal Vlasov-type equation with a convolution integral operator that is of the same form as the continuity eq…