A blow up solution of the Navier-Stokes equations with a super critical forcing term

2023/11/21 by Qi S. Zhang, Zhang, Qi S.
Engineering · Mathematics · #35Q30 #76D03 #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2311.12306

openalex publication_date 2023/11/21 · openalex created_date 2023/11/23 · openalex updated_date 2026/07/28

Abstract

A forced solution v of the axially symmetric Navier-Stokes equation in a finite cylinder D with suitable boundary condition is constructed. The forcing term is in the super critical space L^q_t L¹_x for all q>1. The velocity is in the energy space at the final moment when it blows up.

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