11 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…
Onsager-Type Energy Equality and Prodi--Serrin Uniqueness for Nernst--Planck Fluid Systems
Ruimeng Hu, Quyuan Lin, Qirui Peng
We study weak solutions of electrodiffusion systems coupling the Nernst--Planck equations with fluid models. First, for the three-dimensional Nernst--Planck--Euler system, we estab…
Endogenous Reinsurance Pricing in Large Competitive Insurance Markets: Finite-Player and Mean Field Analysis
Ruimeng Hu, Byungdoo Kong
We study endogenous reinsurance pricing in a competitive insurance market with one strategic reinsurer and many heterogeneous insurers. The reinsurer acts as a Stackelberg leader b…
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…