Haoyang Chen

activity

20192026

most citedLow regularity ill-posedness for elastic waves driven by shock formation

4 citations · 7 across the 8 of their papers we have counts for

collaborators

Showing 2022 · math.APShow all

2 papers · 2 filters

math.AP2022

$H^{\frac{11}{4}} (R^{2})$ ill-posedness for 2D Elastic Wave system

Xinliang An, Haoyang Chen, Silu Yin

In this paper, we prove that for the 2D elastic wave equations, a physical system with multiple wave-speeds, its Cauchy problem fails to be locally well-posed in $H^{\frac{11}{4}}(…

math.AP2022

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…

H411​(R2) ill-posedness for 2D Elastic Wave system

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

$H^{\frac{11}{4}} (R^{2})$ ill-posedness for 2D Elastic Wave system

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