Decay estimates for the compressible viscoelastic equations in an exterior domain
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866912418996682752 |
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| author | Deng, Jieling Wang, Yong Yang, Jianquan |
| author_facet | Deng, Jieling Wang, Yong Yang, Jianquan |
| contents | In this paper, we study the compressible viscoelastic equations in an exterior domain. We prove the $L_2$ estimates for the solution to the linearized problem and show the decay estimates for the solution to the nonlinear problem. In particular, we obtain the optimal decay rates of the solution itself and its spatial-time derivatives in the $L_2$-norm. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_07215 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Decay estimates for the compressible viscoelastic equations in an exterior domain Deng, Jieling Wang, Yong Yang, Jianquan Analysis of PDEs In this paper, we study the compressible viscoelastic equations in an exterior domain. We prove the $L_2$ estimates for the solution to the linearized problem and show the decay estimates for the solution to the nonlinear problem. In particular, we obtain the optimal decay rates of the solution itself and its spatial-time derivatives in the $L_2$-norm. |
| title | Decay estimates for the compressible viscoelastic equations in an exterior domain |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2506.07215 |