3 papers
math.AP2020
Low regularity ill-posedness for elastic waves driven by shock formation
Xinliang An, Haoyang Chen, Silu Yin
In this paper, we construct counterexamples to the local existence of low-regularity solutions to elastic wave equations in three spatial dimensions (3D). Inspired by the recent wo…
math.AP2019
Global regularity for Einstein-Klein-Gordon system with isometry group, II
Haoyang Chen, Yi Zhou
This paper is devoted to the study of the global existence of smooth solutions for the 3+1 dimensional Einstein-Klein-Gordon systems with a isometry group…
math.AP2019
Global regularity for Einstein-Klein-Gordon system with isometry group, I
Haoyang Chen, Yi Zhou
This is the first of the two papers devoted to the study of global regularity of the 3+1 dimensional Einstein-Klein-Gordon system with a isometry group. In…