Xinliang An

collaborators

2 papers

math.AP2026

Low regularity ill-posedness and shock formation for 3D ideal compressible MHD

Xinliang An, Haoyang Chen, Silu Yin

The study of magnetohydrodynamics (MHD) significantly boosts the understanding and development of solar physics, planetary dynamics and controlled nuclear fusion. Dynamical propert…

math.AP2026

The Cauchy problems for the 2D compressible Euler equations and ideal MHD system are ill-posed in $H^{\frac{7}{4}} (R^{2})$

Xinliang An, Haoyang Chen, Silu Yin

In a fractional Sobolev space $H^{s} (R^{2})$ with $s \leq \frac{7}{4}$ , we prove the low-regularity ill-posedness for the 2D compressible Euler equations and the 2D ideal compressib…

Low regularity ill-posedness and shock formation for 3D ideal compressible MHD

The Cauchy problems for the 2D compressible Euler equations and ideal MHD system are ill-posed in H47​(R2)

The Cauchy problems for the 2D compressible Euler equations and ideal MHD system are ill-posed in $H^{\frac{7}{4}} (R^{2})$