Blow-up criterion for a three-dimensional compressible non-Newtonian fluid with vacuum
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909203516358656 |
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| author | Guo, Junyuan Fang, Li |
| author_facet | Guo, Junyuan Fang, Li |
| contents | This work is devoted to establish an improved blow-up criterion for strong solutions to a three-dimensional compressible non-Newtonian fluid with vacuum. The considered system is the Power Law model in a bounded periodic domain in R^3.We establish a blow-up criterion for the local strong solutions in terms of the L^4(0,T;L^{\infty}(Ω))norm of the gradient of the velocity for any power-law index q is greater than 1. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_09028 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Blow-up criterion for a three-dimensional compressible non-Newtonian fluid with vacuum Guo, Junyuan Fang, Li Analysis of PDEs This work is devoted to establish an improved blow-up criterion for strong solutions to a three-dimensional compressible non-Newtonian fluid with vacuum. The considered system is the Power Law model in a bounded periodic domain in R^3.We establish a blow-up criterion for the local strong solutions in terms of the L^4(0,T;L^{\infty}(Ω))norm of the gradient of the velocity for any power-law index q is greater than 1. |
| title | Blow-up criterion for a three-dimensional compressible non-Newtonian fluid with vacuum |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2405.09028 |