Changyou Wang

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math.AP2025

Global existence and stability of near-affine solutions of compressible elastodynamics

Xianpeng Hu, Yuanzhi Tu, Changyou Wang +1

We prove that for sufficiently small $H^{3}$ -perturbations of an affine solution, the Cauchy problem for the compressible nonlinear elastodynamics in $R^{d}$ , for $d = 2, 3$ , adm…

math.AP2025

A remark on isolated removable singularity of harmonic maps in dimension two

Changyou Wang

For a ball $B_{R} (0) \subset R^{2}$ , we provide sufficient conditions such that a harmonic map $u \in C^{\infty} (B_{R} (0) ∖ {0}, N)$ , with a self-similar bound on its gradien…

math.AP2025

The Lamm-RiviÃ¨re system II: energy identity

Chang-Yu Guo, Wen-Juan Qi, Zhao-Min Sun +1

In this paper, we establish an angular energy quantization for the following fourth order inhomogeneous Lamm-RiviÃ¨re system $$ Î^2u=Î(V\cdot\nabla u)+\text{div}(w\nabla u)+W\cdo…

math.AP2025

On rigidity of the steady Ericksen-Leslie system

Jeaheang Bang, Changyou Wang

We study solutions, with scaling-invariant bounds, to the steady simplified Ericksen-Leslie system in $R^{n} ∖ {0}$ . When $n = 2$ , we construct and classify a class o…