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Partial regularity and $L^3$-norm concentration effects around possible blow-up points for the micropolar fluid equations
- Publication Year :
- 2024
-
Abstract
- 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 $\vec\omega$. Assuming an additional condition over the variable $\vec u$ we will first prove that weak solutions $(\vec u, \vec\omega)$ 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.
- Subjects :
- Mathematics - Analysis of PDEs
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2406.03291
- Document Type :
- Working Paper