2 papers
math.AP2026
Strong ill-posedness for the MHD system in the supercritical regime: inviscid and viscous
Zhenyu Wan, Weikui Ye, Zhaoyang Yin
This paper is concerned with the Cauchy problem for the 3D incompressible magnetohydrodynamic (MHD) equations in supercritical Sobolev spaces. It is well known that the system is l…
math.AP2024
Ill-posedness and global solution for the -equation
Yingying Guo, Weikui Ye
In this paper, we consider the Cauchy problem for the -equation. Firstly, for if and $m_{0}(x)=u_{0}(x)-u_{0xx}(x)\in L^{1}(\mathbb{…