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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.23169 |
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| _version_ | 1866913865380397056 |
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| author | Ishigaki, Yusuke Kobayashi, Takayuki |
| author_facet | Ishigaki, Yusuke Kobayashi, Takayuki |
| contents | We study the large time behavior of solutions to the system of equations describing motion of compressible viscoelastic fluids. We focus on the linearized system around a motionless state in a three-dimensional exterior domain and derive the local energy decay estimate of its solution to give the diffusion wave phenomena caused by sound wave viscous diffusion and elastic shear wave. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_23169 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Local energy decay of solutions to the linearized compressible viscoelastic system around motionless state in an exterior domain Ishigaki, Yusuke Kobayashi, Takayuki Analysis of PDEs We study the large time behavior of solutions to the system of equations describing motion of compressible viscoelastic fluids. We focus on the linearized system around a motionless state in a three-dimensional exterior domain and derive the local energy decay estimate of its solution to give the diffusion wave phenomena caused by sound wave viscous diffusion and elastic shear wave. |
| title | Local energy decay of solutions to the linearized compressible viscoelastic system around motionless state in an exterior domain |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2505.23169 |