Qionglei Chen

most citedSharp ill-posedness for the non-resistive MHD equations in Sobolev spaces

2 citations · 2 across the 2 of their papers we have counts for

collaborators

2 papers

math.AP2024

Global well-posedness for rough solutions of defocusing cubic NLS on three dimensional compact manifolds

Chen Qionglei, Yilin Song, Jiqiang Zheng

In this article, we investigate the global well-posedness for cubic nonlinear Schrödinger equation(NLS) $i \partial_{t} u + Δ_{g} u = ∣ u ∣^{2} u$ posed on the three dimensional compact manifolds…

math.AP2024★ 2 cited

Sharp ill-posedness for the non-resistive MHD equations in Sobolev spaces

Qionglei Chen, Yao Nie, Weikui Ye

In this paper, we prove a sharp ill-posedness result for the incompressible non-resistive MHD equations. In any dimension $d \geq 2$ , we show the ill-posedness of the non-resistive M…