A simple solution formula for the Stokes equations in the half space
by Daisuke Hirata  

Vol. 18 No. 2 (2023) P.225~P.233

DOI:	https://doi.org/10.21915/BIMAS.2023204
	10.21915/BIMAS.2023204

ABSTRACT

This note studies the Stokes equations in the half space $\mathbb{R}_+^d$ with the non-slip boundary condition. We present an explicit solution formula by using the hybrid Fourier-Fourier sine transform, which is simpler than already known ones.

KEYWORDS
Stokes equations, half space, solution formula, Fourier sine transform

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 35C05, 35K51, 35Q35

MILESTONES

Received: 2023-02-05
Revised :
Accepted:

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