7 papers
Current-Sheet Formation in Electron Magnetohydrodynamics with Split Fractional Dissipation
Ruimeng Hu, Qirui Peng, Xu Yang
Thin current sheets are central small-scale structures in electron magnetohydrodynamics (EMHD), closely associated with energy dissipation and fast magnetic reconnection at electro…
A Gradient Recovery Method for Electron Magnetohydrodynamics with Fractional Dissipation
Hailong Guo, Ruimeng Hu, Qirui Peng +1
We propose and analyze a structure-preserving numerical method for the -dimensional (2.5D) electron magnetohydrodynamics system with fractional dissipation on the pe…
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…
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…
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…
Error estimates of physics-informed neural networks for approximating Boltzmann equation
Elie Abdo, Lihui Chai, Ruimeng Hu +1
Motivated by the recent successful application of physics-informed neural networks (PINNs) to solve Boltzmann-type equations [S. Jin, Z. Ma, and K. Wu, J. Sci. Comput., 94 (2023),…