Boundary value problem of a non-stationary Stokes system in a bounded smooth cylinder

2012/03/29 by Tongkeun Chang, Chang, TongKeun, Bum Ja Jin +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1203.6519

openalex publication_date 2012/03/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper, we intend to study the boundary value problem of the non-stationary Stokes system in a bounded smooth cylinder Ω× (0,T). As a first step, we consider the problem in half-plane cylinder \mathbb Rⁿ₊ × (0,T), 0 < T ≤ ∞. We extend the result of Solonnikov\citeSo to data in weaker function spaces than the one considered in \citeSo.

Citations

• StrongL p -solutions of the Navier-Stokes equation inR m , with applications to weak solutions

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