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

11 papers

astro-ph.HE2026

LHAASO Constraints on New-Source Cosmic Rays:Abundance Scenarios and Injection Spectral Indices

Xu-Lin Dong, Pei-Pei Zhang, Qi-Ling Chen +2

Recent LHAASO observations indicate that microquasars and massive star clusters contribute to Galactic cosmic rays, and likely also to the pre-knee spectral hardening. Their marked…

astro-ph.CO2026

Joint Line Intensity Recovery from Multi-Tracer Cross-Correlations

Carlos E. Sierra, Kirit S. Karkare

Line intensity mapping (LIM) provides a unique window into the high-redshift universe, but the separation of signals from overlapping emission lines and bright continuum foreground…

math.AP2025

Shock Formation for Compressible Euler Equations on

Xinliang An, Haoyang Chen, Fulin Qi +1

In this paper, we prove the finite-time shock formation for the compressible Euler equations on the two-dimensional sphere . In contrast to the flat Euclidean case $\…

math.AP2024

Low-Regularity Local Well-Posedness for the Elastic Wave System

Xinliang An, Haoyang Chen, Sifan Yu

We study the elastic wave system in three spatial dimensions. For admissible harmonic elastic materials, we prove a desired low-regularity local well-posedness result for the corre…

gr-qc2022

Quantitative blow-up estimates for spacelike singularities in gravitational-collapse cosmological spacetimes

Xinliang An, Haoyang Chen, Taoran He

Under spherical symmetry, with double-null coordinates , we study the gravitational collapse of the Einstein--scalar field system with a positive cosmological constant. The…

math.AP2022

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

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.AP2021★ 3 cited

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.AP2020★ 4 cited

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…