The existence for the classical solution of the Navier-Stokes equations

2024/05/07 by Jianfeng Wang, Wang, Jianfeng
Engineering · Mathematics · #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #General Mathematics (math.GM) #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2405.05283

openalex publication_date 2024/05/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we will discuss the existence for the classical solution of the Navier-Stokes equations. First, we transform it into generalized integral equations. Next, we discuss the existence of the classical solution by Leray-Schauder degree and Sobolev space H^-m₁(Ω₁).

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