Asymptotic properties of steady plane solutions of the Navier-Stokes equations in the exterior of a half-space

2022/08/02 by Lili Wang, Wang, Lili, Wendong Wang +1
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2208.01458

openalex publication_date 2022/08/02 · openalex created_date 2022/08/04 · openalex updated_date 2026/07/28

Abstract

Motivated by Gilbarg-Weinberger's early work on asymptotic properties of steady plane solutions of the Navier-Stokes equations on a neighborhood of infinity \citeGW1978 , we investigate asymptotic properties of steady plane solutions of this system on a half-neighborhood of infinity with finite Dirichlet integral and Navier-slip boundary condition, and obtain that the velocity of the solution grows more slowly than √(log r), while the pressure converges to 0 along each ray passing through the origin.

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