Ruiwen Shu

Ruiwen Shu is an Assistant Professor in the Department of Mathematics at the University of Georgia. His research focuses on energy minimization, potential theory, gradient flows, collective dynamics, and numerical methods for kinetic and hyperbolic problems.

Education:

• Ph.D. in Mathematics, University of Wisconsin-Madison (2014–2018)
• Postdoctoral Fellow, University of Maryland (2018–2021)
• Postdoctoral Research Associate, University of Oxford (2021–2022)

Research Interests: Dr. Shu investigates mathematical models of collective behavior, including anisotropic interaction energies, aggregation-diffusion systems, and hydrodynamic limits. His work bridges theoretical analysis with computational methods, developing high-accuracy numerical schemes for stiff PDEs and kinetic equations. Key themes include pattern formation in repulsive-attractive systems, stability of minimization algorithms, and asymptotic-preserving discretizations.

Publication Trends: Recent articles emphasize anisotropic interaction energies (2023–2024), structure-preserving numerical methods for kinetic/hyperbolic systems (2021–2025), and stability analysis of aggregation phenomena. Computational techniques like IMEX Runge-Kutta and semi-Lagrangian schemes are recurrent, applied to models ranging from Euler-Poisson equations to BGK kinetics.