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Detalles Bibliográficos
Autores principales: Chamorro, Diego, Llerena, David
Formato: Preprint
Publicado: 2024
Materias:
Acceso en línea:https://arxiv.org/abs/2406.03291
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  • 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.