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math.AP2022★ 6 cited
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…
math.AP2022
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…
math.AP2022
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…