Dr Ruiwen Shu
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
2021 MT: Tutor for B4.1 (Functional Analysis 1)
José A. Carrillo and Ruiwen Shu, Global Minimizers of a Large Class of Anisotropic Attractive-Repulsive Interaction Energies in 2D, preprint.
Ruiwen Shu and Jiuya Wang, Generalized Erdős-Turán inequalities and stability of energy minimizers, preprint.
Ruiwen Shu and Jiuya Wang, The sharp Erdős-Turán inequality, preprint.
José A. Carrillo and Ruiwen Shu, From radial symmetry to fractal behavior of aggregation equilibria for repulsive-attractive potentials, preprint.
Sigal Gottlieb, Zachary Grant, Jingwei Hu and Ruiwen Shu, High order unconditionally strong stability preserving multi-derivative implicit and IMEX Runge-Kutta methods with asymptotic preserving properties, SIAM Numer. Anal., accepted.
Douglas Hardin, Edward Saff, Ruiwen Shu and Eitan Tadmor, Dynamics of particles on a curve with pairwise hyper-singular repulsion, Discrete Contin. Dyn. Syst., 41(12): 5509-5536, 2021.
Ruiwen Shu and Eitan Tadmor, Newtonian repulsion and radial confinement: convergence towards steady state, Mathematical Models and Methods in Applied Sciences, 1-25, 2021.
My main research interests are energy minimization and related dynamical problems, including gradient flows and other models from collective dynamics. I’m also interested in numerical methods for kinetic and hyperbolic problems.