Global in time solvability of the Navier-Stokes equations in the half-space

2018/09/19 by Tongkeun Chang, Chang, Tongkeun, Bum Ja Jin +1
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1809.07025

openalex publication_date 2018/09/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the initial value problem of the Navier-Stokes equations in the half-space. Let a solenoidal initial velocity be given in the function space B_pq,0^α-(2)/(2)(\mathbb Rⁿ₊) for α+1 = \fracnp + \frac2q and 0

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