2 papers
math.AP2026
Non-uniform Continuity for the MHD equations with only Magnetic Diffusion
Quansen Jiu, Yaowei Xie
In this paper, we prove the non-uniform continuity of the data-to-solution map for the incompressible magnetohydrodynamic (MHD) equations with only magnetic diffusion in Sobolev sp…
math.AP2026
Global Regularity for Non-resistive or Non-viscous MHD System on the Torus
Quansen Jiu, Yaowei Xie, Zhihong Yan
In this paper, we establish the global well-posedness of the incompressible magnetohydrodynamics (MHD) system on dimensional periodic boxes with either no magnetic…