Showing 2025Show all
2 papers · 1 filter
math.AP2025
Anomalous Dissipation at Onsager-Critical Regularity
Alexey Cheskidov, Qirui Peng
We construct solutions to the three-dimensional Euler equations exhibiting anomalous dissipation in finite time through a vanishing viscosity limit. Inspired by \cite{BDL23} and \c…
math.AP2025
Well-posedness of the relaxed Electron MHD equations with random diffusion
Ruimeng Hu, Qirui Peng, Xu Yang
We investigate a three-dimensional active-vector relaxation of the electron magnetohydrodynamics (EMHD) equations without resistivity. The relaxation replaces the electron current…