2 papers
math.PR2026
Large Deviations for the Two-Dimensional Dean-Kawasaki Equation with Coulomb Interactions
Xiaohao Ji
We establish global well-posedness and a small-noise large deviation principle for the two-dimensional Dean-Kawasaki equation with Coulomb interaction $\partial_tρ^\varepsilon=Δρ^\…
math.PR2026
Dean-Kawasaki Equation with Biot-Savart and Keller-Segel Interactions: Existence and Large Deviations
Xiaohao Ji, Yue Sun, Zhengyan Wu
We establish the existence of probabilistically weak, renormalized kinetic solutions to the Dean--Kawasaki equation with singular interaction kernels, including those of Biot--Sava…