Cylindrical Symplectic Representation and Global Regular Solution of Incompressible Navier-Stokes Equations in ℝ³

2023/11/30 by Yongqian Han, Han, Yongqian
Engineering · Mathematics · #35Q30 #37L20 #76D05 #76F02 #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Navier-Stokes equation solutions #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.2311.18315

openalex publication_date 2023/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The existence and uniqueness of global regular solution of incompressible Navier-Stokes equations in ℝ³ are derived provided the initial velocity vector field holds a special structure.

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