Global regular axially-symmetric solutions to the Navier-Stokes equations. Part 1

2023/04/03 by Wojciech M. Zajączkowski, Zajaczkowski, Wojciech M.
Engineering · Mathematics · #Advanced Differential Equations and Dynamical Systems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2304.00856

openalex publication_date 2023/04/03 · openalex created_date 2023/04/06 · openalex updated_date 2026/07/28

Abstract

We prove existence of global regular axially-symmetric solutions to the Navier-Stokes equations in a cylindrical domain. We assume the periodic boundary conditions on the top and the bottom of the cylinder, but on the lateral part we assume vanishing of normal component of velocity, angular components of vorticity and angular component of velocity.

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