From the 1 of 3 linked papers with an AI index.
3 papers
math.AP2026
Norm Inflation for Inviscid and Fully Dissipative Boussinesq Systems in Supercritical Spaces
Qionglei Chen, Yaowei Xie
The paper shows that solutions to the two‑dimensional Boussinesq equations can experience rapid growth (norm inflation) in certain supercritical Besov spaces, demonstrating strong…
math.AP2025
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 $…
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…