3 papers
math.AP2026
Stability and instability of a one-dimensional MHD model
Nicola De Nitti, Jie Guo, Quansen Jiu
We consider a one-dimensional magnetohydrodynamics model introduced by Dai \textit{et al.}~(2023), in a parameter regime where, in the absence of a magnetic field, the system reduc…
math.AP2025
Finite time blow-up analysis for the generalized Proudman-Johnson model
Jie Guo, Quansen Jiu
In this paper, we study the generalized Proudman-Johnson equation posed on the torus. In the critical regime where the parameter is close to and slightly greater than 1, we est…
math.AP2025
Stability and Instability on the De Gregorio Modification of the Constantin-Lax-Majda model
Jie Guo, Quansen Jiu
The Constantin-Lax-Majda (CLM) model and the De Gregorio model which is a modification of the CLM model are well-known for their ability to emulate the behavior of the 3D Euler equ…