3 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
Xinliang An, Haoyang Chen, Silu Yin
In a fractional Sobolev space with , we prove the low-regularity ill-posedness for the 2D compressible Euler equations and the 2D ideal compressib…
math.AP2025
A Morawetz type energy estimate for wave equation in and application to elastic waves
Ningan Lai, Silu Yin, Yi Zhou
In this paper, we introduce a modified scaling Morawetz multiplier, which produces a weighted Morawetz type energy (non-negative) estimate for the inhomogeneous wave equation in $\…