3 papers
math.PR2026
The Three-Dimensional Stochastic EMHD System: Local Well-Posedness and Maximal Pathwise Solutions
Ruimeng Hu, Qirui Peng, Xu Yang
We study the three-dimensional stochastic electron magnetohydrodynamics (EMHD) system with fractional dissipation on the torus, driven by Stratonovich transport noise acting throug…
math.NA2026
Convergence Analysis of PINNs for Fractional Diffusion Equations in Bounded Domains
Elie Abdo, Lihui Chai, Ruimeng Hu +1
We establish the convergence of physics-informed neural networks (PINNs) for time-dependent fractional diffusion equations posed on bounded domains. The presence of fractional Lapl…
cond-mat.soft2025
A geometric approach to predicting plasticity in disordered solids
Long-Zhou Huang, Xu Yang, Min-Qiang Jiang +2
It was recently shown that vortex-like topological defects with negative winding number in the vibrational modes of a two-dimensional glass under quasistatic shear correlate strong…