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2023 / June Volume 18 No.2
A simple solution formula for the Stokes equations in the half space
Published Date
2023 / June
Title
A simple solution formula for the Stokes equations in the half space
Author
Daisuke Hirata
Keyword
Stokes equations, half space, solution formula, Fourier sine transform
Download
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Pagination
225-233
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.

DOI
10.21915/BIMAS.2023204
https://doi.org/10.21915/BIMAS.2023204
AMS Subject
Classification
35C05, 35K51, 35Q35
Received
2023-02-05
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