Showing 2025Show all
2 papers · 1 filter
math.AP2025
Propagation of chaos for the Landau equation via microcanonical binary collisions
Kai Du
We develop a fully constructive, conservative, and collision-level realization of Kac's program for the spatially homogeneous Landau equation across the full interaction range, inc…
math.OC2025
Optimal control of SDEs with merely measurable drift: an HJB approach
Kai Du, Qingmeng Wei
We investigate an optimal control problem for a diffusion whose drift and running cost are merely measurable in the state variable. Such low regularity rules out the use of Pontrya…