Global existence and stability of near-affine solutions of compressible elastodynamics
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866917154070200320 |
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| author | Hu, Xianpeng Tu, Yuanzhi Wang, Changyou Wen, Huanyao |
| author_facet | Hu, Xianpeng Tu, Yuanzhi Wang, Changyou Wen, Huanyao |
| contents | 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 $d=2,3$, admits a unique global strong solution. Moreover, we establish the asymptotic behavior of the solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_16505 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Global existence and stability of near-affine solutions of compressible elastodynamics Hu, Xianpeng Tu, Yuanzhi Wang, Changyou Wen, Huanyao Analysis of PDEs 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 $d=2,3$, admits a unique global strong solution. Moreover, we establish the asymptotic behavior of the solution. |
| title | Global existence and stability of near-affine solutions of compressible elastodynamics |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2512.16505 |