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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2511.18819 |
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| _version_ | 1866917100565561344 |
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| author | Li, Fang Mengge, Chang |
| author_facet | Li, Fang Mengge, Chang |
| contents | We consider a model of the compressible non-Newtonian fluids for power-law flow fulfilling a periodic domain in ${\mathbb R}^3,$ in which the extra stress tensor is induced by a potential with $p(t,x)$-structure. The local-in-time existence of strong solution is proved for all $\frac{7}{5} < \inf p(t,x) \leqslant \sup p(t,x) \leqslant 2.$ Further, an improved blow-up criterion for strong solutions is given in terms of the $L^\infty(0,T;L^3(Ω))$-norm of the gradient of the velocity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_18819 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Local-in-time existence of strong solutions to a class of compressible Power-Law flows Li, Fang Mengge, Chang Analysis of PDEs We consider a model of the compressible non-Newtonian fluids for power-law flow fulfilling a periodic domain in ${\mathbb R}^3,$ in which the extra stress tensor is induced by a potential with $p(t,x)$-structure. The local-in-time existence of strong solution is proved for all $\frac{7}{5} < \inf p(t,x) \leqslant \sup p(t,x) \leqslant 2.$ Further, an improved blow-up criterion for strong solutions is given in terms of the $L^\infty(0,T;L^3(Ω))$-norm of the gradient of the velocity. |
| title | Local-in-time existence of strong solutions to a class of compressible Power-Law flows |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2511.18819 |