3 papers
math.NA2026
Deep Kinetic JKO schemes for Vlasov-Fokker-Planck Equations
Wonjun Lee, Li Wang, Wuchen Li
We introduce a deep neural network-based numerical method for solving kinetic Fokker Planck equations, including both linear and nonlinear cases. Building upon the conservative dis…
math.NA2025
Dynamical feedback control with operator learning for the Vlasov-Poisson system
Jingcheng Lu, Li Wang, Jeff Calder
To meet the demands of instantaneous control of instabilities over long time horizons in plasma fusion, we design a dynamic feedback control strategy for the Vlasov-Poisson system…
math.NA2025
Controlling instability in the Vlasov-Poisson system through moment-based optimization
Jingcheng Lu, Li Wang, Jeff Calder
Controlling instability in plasma is one of the central challenges in fusion energy research. Among the various sources of instability, kinetic effects play a significant role. In…