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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.03291 |
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| _version_ | 1866916275752534016 |
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| author | Chamorro, Diego Llerena, David |
| author_facet | Chamorro, Diego Llerena, David |
| contents | The micropolar fluid system is a model based on the Navier-Stokes equations which considers two coupled variables: the velocity field $\vec u$ and the microrotation field $\vecω$. Assuming an additional condition over the variable $\vec u$ we will first prove that weak solutions $(\vec u, \vecω)$ of this system are smooth. Then, we will present a concentration effect of the $L^3_x$ norm of the velocity field $\vec u$ near a possible singular time. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_03291 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Partial regularity and $L^3$-norm concentration effects around possible blow-up points for the micropolar fluid equations Chamorro, Diego Llerena, David Analysis of PDEs The micropolar fluid system is a model based on the Navier-Stokes equations which considers two coupled variables: the velocity field $\vec u$ and the microrotation field $\vecω$. Assuming an additional condition over the variable $\vec u$ we will first prove that weak solutions $(\vec u, \vecω)$ of this system are smooth. Then, we will present a concentration effect of the $L^3_x$ norm of the velocity field $\vec u$ near a possible singular time. |
| title | Partial regularity and $L^3$-norm concentration effects around possible blow-up points for the micropolar fluid equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2406.03291 |