A Logarithmic Extensibility Criterion for a Keller–Segel–Navier–Stokes System in a Bounded Domain
We consider a Keller-Segel-Navier-Stokes system in a three-dimensional (3D) bounded domain and prove a logarithmic blow-up criterion of the local strong solutions. The $L^{p}$ method, $L^{\infty}\text{-}$method and the maximal regularity estimates of the parabolic equation are used. Mathematical Sub...
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| Date: | 2025 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України
2025
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| Subjects: | |
| Online Access: | https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1099 |
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| Journal Title: | Journal of Mathematical Physics, Analysis, Geometry |
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Journal of Mathematical Physics, Analysis, Geometry| Summary: | We consider a Keller-Segel-Navier-Stokes system in a three-dimensional (3D) bounded domain and prove a logarithmic blow-up criterion of the local strong solutions. The $L^{p}$ method, $L^{\infty}\text{-}$method and the maximal regularity estimates of the parabolic equation are used.
Mathematical Subject Classification 2020:22E46, 53C35, 57S20, 35Q30 |
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