Temporal-spatial decays for the Stokes flows in half spaces

The Anh Bui

doi:10.1007/s00030-022-00751-w

Temporal-spatial decays for the Stokes flows in half spaces

The Anh Bui^*

^*Corresponding author for this work

School of Mathematical and Physical Sciences

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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Abstract

In this paper, we prove new estimates on temporal-spatial decays in L¹ for solutions to the Stokes equations in the half spaces. Our approach is based on the Ukai’s solution formula of the Stokes equations and heat kernel estimates.

Original language	English
Article number	23
Pages (from-to)	1-22
Number of pages	22
Journal	Nonlinear Differential Equations and Applications
Volume	29
Issue number	3
DOIs	https://doi.org/10.1007/s00030-022-00751-w
Publication status	Published - May 2022

Bibliographical note

Copyright © 2022, The Author(s). Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.

Keywords

Hardy space
Spatial decay
Stokes flow
Temporal decay

Access to Document

10.1007/s00030-022-00751-wLicence: CC BY

Publisher version (open access)Final published version, 416 KBLicence: CC BY

Cite this

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title = "Temporal-spatial decays for the Stokes flows in half spaces",

abstract = "In this paper, we prove new estimates on temporal-spatial decays in L1 for solutions to the Stokes equations in the half spaces. Our approach is based on the Ukai{\textquoteright}s solution formula of the Stokes equations and heat kernel estimates.",

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note = "Copyright {\textcopyright} 2022, The Author(s). Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.",

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KW - Stokes flow

KW - Temporal decay

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UR - http://purl.org/au-research/grants/arc/DP220100285

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Temporal-spatial decays for the Stokes flows in half spaces

Abstract

Bibliographical note

Keywords

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DP22: Harmonic analysis of Laplacians in curved spaces

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Temporal-spatial decays for the Stokes flows in half spaces

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Projects

DP22: Harmonic analysis of Laplacians in curved spaces

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