陈昊阳

2026

The Cauchy Problems for the 2D Compressible Euler Equations and Ideal MHD System are Ill-Posed in $$H^\frac{7}{4}(\mathbb {R}^2)$$

Communications in Mathematical Physics

DOI

2026

A Scale-Critical $μ<\frac38$ Extension Principle for Spherically Symmetric Einstein-Scalar Field System

arXiv (Cornell University)

DOI

2026

An extension principle for Einstein-Maxwell-charged scalar field system with finite Doppler exponent

arXiv preprint

2025

Shock Formation for Compressible Euler Equations on $\mathbb{S}^2$

arXiv preprint

2024

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

arXiv preprint

2022

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

arXiv preprint

2022

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

arXiv preprint

2021

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

arXiv preprint

2020

Low regularity ill-posedness for elastic waves driven by shock formation

arXiv preprint

2019

Global regularity for Einstein-Klein-Gordon system with $U(1) \times \mathbb{R}$ isometry group, I

arXiv preprint

2019

Global regularity for Einstein-Klein-Gordon system with $U(1) \times \mathbb{R}$ isometry group, II

arXiv preprint