2 papers
math.NA2026
Structure-Oriented Randomized Neural Networks for Poisson-Nernst-Planck and Poisson-Nernst-Planck-Navier-Stokes Systems
Yunlong Li, Fei Wang
We develop a structure-oriented randomized neural network framework, termed SO-RaNN, for the Poisson-Nernst-Planck (PNP) system and the Poisson-Nernst-Planck-Navier-Stokes (PNP-NS)…
physics.flu-dyn2026
Structure-preserving Randomized Neural Networks for Incompressible Magnetohydrodynamics Equations
Yunlong Li, Fei Wang, Lingxiao Li
The incompressible magnetohydrodynamic (MHD) equations are fundamental in many scientific and engineering applications. However, their strong nonlinearity and dual divergence-free…