10 papers
Sharp non-uniqueness of singular solutions to the one-dimensional periodic cubic nonlinear Schrödinger equation
Qirui Peng
We construct, via convex integration, a nonzero singular weak solution of the one-dimensional periodic cubic nonlinear Schrödinger equation that is compactly supported in time, has…
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…
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…
Local well-posedness for the two-and-a-half-dimensional EMHD system with split fractional dissipation
Qirui Peng
We study the -dimensional electron magnetohydrodynamics (EMHD) system on with componentwise fractional dissipation: and…
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…