Asymptotic analysis of an ε-Stokes problem connecting Stokes and pressure-Poisson problems

2017/12/07 by Matsui, Kazunori, Muntean, Adrian
#35B40 (Secondary) #35Q35 #76D03 (Primary) #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1712.02588

Abstract

In this Note, we prepare an ε-Stokes problem connecting the Stokes problem and the corresponding pressure-Poisson equation using one parameter ε>0. We prove that the solution to the ε-Stokes problem, convergences as ε tends to 0 or ∞ to the Stokes and pressure-Poisson problem, respectively.

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