Long time decay for global solutions to the Navier-Stokes equations in Sobolev-Gevery spaces

2019/03/07 by Hajer Orf, Orf, Hajer · 4 citations
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Compressibility #FOS: Mathematics #Fourier analysis #Fourier transform #Infinity #Mathematical analysis #Mathematical physics #Mathematics #Mechanics #Navier-Stokes equation solutions #Navier–Stokes equations #Physics #Sobolev space #Stability and Controllability of Differential Equations #Zero (linguistics) #math.AP

paper · pdf · doi:10.48550/arxiv.1903.03034

published in arXiv (Cornell University) (Cornell University) · 14 pages

arxiv created 2019/03/07 · openalex publication_date 2019/03/07 · arxiv updated 2019/03/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove that if u∈ C([0,∞), H^1/2_a,1(ℝ³)) is a global solution of 3D incompressible Navier-Stokes equations, then ‖u‖_H^1/2_a,1 decays to zero as time approaches infinity. Fourier analysis and standard techniques are used.

Citations

• Global Well-posedness for the Generalized Navier-Stokes System
• Sur le mouvement d'un liquide visqueux emplissant l'espace

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