2 papers
math.AP2026
Resonant Geometry and Well-Posedness for the 2D Boussinesq Wave Kinetic Equation
Haoling Xiang
We study the wave kinetic equation (WKE) derived by Shavit--Bühler--Shatah from the two-dimensional Boussinesq system of internal waves. The equation is anisotropic and vector-valu…
math.AP2025
Long-Time Existence and Behavior of Solutions to the Inhomogeneous Kinetic FPU Equation
Haoling Xiang
We study the inhomogeneous kinetic Fermi-Pasta-Ulam (FPU) equation, a nonlinear transport equation describing the evolution of phonon density distributions with four-phonon interac…