4 papers
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…
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…
Asymptotic stability for -dimensional isentropic compressible MHD equations without magnetic diffusion
Quansen Jiu, Jitao Liu, Yaowei Xie
Whether the global well-posedness of strong solutions of -dimensional compressible isentropic magnetohydrodynamic (MHD for short) equations without magnetic diffusion holds true…
Sharp decay estimates and asymptotic stability for incompressible MHD equations without viscosity or magnetic diffusion
Yaowei Xie, Quansen Jiu, Jitao Liu
Whether the global existence and uniqueness of strong solutions of -dimensional incompressible magnetohydrodynamic (MHD for short) equations with only kinematic viscosity or mag…