3 papers
math.AP2026
Norm Inflation for Inviscid and Fully Dissipative Boussinesq Systems in Supercritical Spaces
Qionglei Chen, Yaowei Xie
We prove norm inflation, in the sense of strong ill-posedness, for the two-dimensional Boussinesq system in supercritical Besov spaces. For the inviscid system, norm inflation hold…
math.AP2024
Large time behavior of solutions to the 2D damped wave-type magnetohydrodynamic equations
Yaowei Xie, Huan Yu
In this paper, we are concerned with the 2D damped wave-type magnetohydrodynamic system (abbreviated as MHD-wave system). The purpose of this paper is to study the large time behav…
math.AP2024
Mild ill-posedness in for the incompressible porous media equation
Yaowei Xie, Huan Yu
In this paper, we establish the mild ill-posedness of 2D IPM equation in the critical Sobolev space when the initial data are small perturbations of stable profile $…