A simple solution formula for the Stokes equations in the half space

DOI10.21915/bimas.2023204zbMath1527.35283OpenAlexW4385260404MaRDI QIDQ6080849

Daisuke Hirata

Publication date: 4 October 2023

Published in: Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21915/bimas.2023204

zbMATH Keywords

Fourier sine transformStokes equationshalf spacesolution formula

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Solutions to PDEs in closed form (35C05) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

• On estimates in Hardy spaces for the Stokes flow in a half space
• A solution formula for the Stokes equation in Rn+
• Classical Fourier Analysis
• A decay property of the Fourier transform and its application to the Stokes problem
• Unnamed Item

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