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pro vyhledávání: '"Shu, Ruiwen"'
Autor:
Shu, Ruiwen
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 number of particles $N$ is large and the discrete interaction energy is
Externí odkaz:
http://arxiv.org/abs/2407.18395
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 equations for aggregation-diffusion macroscopic dynamics. While the sing
Externí odkaz:
http://arxiv.org/abs/2403.12735
Autor:
Hu, Jingwei, Shu, Ruiwen
Implicit-explicit Runge-Kutta (IMEX-RK) schemes are popular methods to treat multiscale equations that contain a stiff part and a non-stiff part, where the stiff part is characterized by a small parameter $\varepsilon$. In this work, we prove rigorou
Externí odkaz:
http://arxiv.org/abs/2306.08742
Autor:
Carrillo, José A., Shu, Ruiwen
We consider the pressureless Euler-Poisson equations with quadratic confinement. For spatial dimension $d\ge 2,\,d\ne 4$, we give a necessary and sufficient condition for the existence of radial global smooth solutions, which is formulated explicitly
Externí odkaz:
http://arxiv.org/abs/2210.13657
Autor:
Carrillo, José A., Shu, Ruiwen
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 dimensions to the present setting. For potentials with linear interpol
Externí odkaz:
http://arxiv.org/abs/2206.14054
Publikováno v:
In Colloids and Surfaces A: Physicochemical and Engineering Aspects 20 November 2024 703 Part 2
Publikováno v:
In Composites Science and Technology 29 September 2024 256
Publikováno v:
In Composites Part A January 2025 188
Autor:
Carrillo, José A., Shu, Ruiwen
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 whose supports are determined by ellipses under certain assumptions. Mor
Externí odkaz:
http://arxiv.org/abs/2202.09237
Publikováno v:
In Journal of Colloid And Interface Science December 2024 675:401-410