Ruiwen Shu

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math.AP2025

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 $\frac{1}{2} \int_{R} (W * ρ) (x) d ρ (x) + \int_{R} U (x) d ρ (x)$ where the interaction potential $W(x)= -\…

math.AP2025

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…

math.AP2025

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 $W (x) = \frac{∣ x ∣ ^{a}}{a} - \frac{∣ x ∣ ^{b}}{b}$ in $d$ d…

math.AP2024

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…