9 citations · 21 across the 4 of their papers we have counts for
4 papers · 1 filter
Controlling conservation laws II: compressible Navier-Stokes equations
Wuchen Li, Siting Liu, Stanley Osher
We propose, study, and compute solutions to a class of optimal control problems for hyperbolic systems of conservation laws and their viscous regularization. We take barotropic com…
Splitting methods for a class of non-potential mean field games
Siting Liu, Levon Nurbekyan
We extend the methods from Nurbekyan, Saude "Fourier approximation methods for first-order nonlocal mean-field games" [Port. Math. 75 (2018), no. 3-4] and Liu, Jacobs, Li, Nurbekya…
Controlling Propagation of epidemics via mean-field control
Wonjun Lee, Siting Liu, Hamidou Tembine +2
The coronavirus disease 2019 (COVID-19) pandemic is changing and impacting lives on a global scale. In this paper, we introduce a mean-field game model in controlling the propagati…
Computational methods for nonlocal mean field games with applications
Siting Liu, Matthew Jacobs, Wuchen Li +2
We introduce a novel framework to model and solve mean-field game systems with nonlocal interactions. Our approach relies on kernel-based representations of mean-field interactions…