Partial regularity and L³-norm concentration effects around possible blow-up points for the micropolar fluid equations

2024/06/05 by Diego Chamorro, Chamorro, Diego, David Llerena +1
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2406.03291

openalex publication_date 2024/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

The micropolar fluid system is a model based on the Navier-Stokes equations which considers two coupled variables: the velocity field u and the microrotation field ω. Assuming an additional condition over the variable u we will first prove that weak solutions ( u, ω) of this system are smooth. Then, we will present a concentration effect of the L³_x norm of the velocity field u near a possible singular time.

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