2 papers
math.NA2026
A fast Fourier spectral method for wave kinetic equation
Kunlun Qi, Lian Shen, Li Wang
The central object in wave turbulence theory is the wave kinetic equation (WKE), which is an evolution equation for wave action density and acts as the wave analog of the Boltzmann…
math.NA2025
Continuous data assimilation for hydrodynamics: consistent discretization and application to moment recovery
Jingcheng Lu, Kunlun Qi, Li Wang +1
Motivated by the challenge of moment recovery in hydrodynamic approximation in kinetic theory, we propose a data-driven approach for the hydrodynamic models. Inspired by continuous…