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 ${\mathbb{R}}^d$, for $d=2,3$, adm…