Green tensor of the Stokes system and asymptotics of stationary Navier–Stokes flows in the half space

Kyungkeun Kang; Hideyuki Miura; Tai Peng Tsai

doi:10.1016/j.aim.2017.10.031

Green tensor of the Stokes system and asymptotics of stationary Navier–Stokes flows in the half space

Kyungkeun Kang, Hideyuki Miura, Tai Peng Tsai

Department of Mathematics

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

2 Citations (Scopus)

Abstract

We derive refined estimates of the Green tensor of the stationary Stokes system in the half space. We then investigate the spatial asymptotics of stationary solutions of the incompressible Navier–Stokes equations in the half space. We also discuss the asymptotics of fast decaying flows in the whole space and exterior domains. In the Appendix we consider axisymmetric self-similar solutions.

Original language	English
Pages (from-to)	326-366
Number of pages	41
Journal	Advances in Mathematics
Volume	323
DOIs	https://doi.org/10.1016/j.aim.2017.10.031
Publication status	Published - 2018 Jan 7

Bibliographical note

Funding Information:
We thank the Center for Advanced Study in Theoretical Sciences at the National Taiwan University, where part of this project was conducted when all of us visited in March 2014 and in July 2015. We thank Chen-Chih Lai for careful reading and finding two typos. The research of Kang was partially supported by NRF - 2017R1A2B4006484 and NRF - 20151009350 . The research of Miura was partially supported by JSPS grant 25707005 . The research of Tsai was partially supported by NSERC grant 261356-13 .

Publisher Copyright:
© 2017 Elsevier Inc.

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1016/j.aim.2017.10.031

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title = "Green tensor of the Stokes system and asymptotics of stationary Navier–Stokes flows in the half space",

abstract = "We derive refined estimates of the Green tensor of the stationary Stokes system in the half space. We then investigate the spatial asymptotics of stationary solutions of the incompressible Navier–Stokes equations in the half space. We also discuss the asymptotics of fast decaying flows in the whole space and exterior domains. In the Appendix we consider axisymmetric self-similar solutions.",

author = "Kyungkeun Kang and Hideyuki Miura and Tsai, {Tai Peng}",

note = "Funding Information: We thank the Center for Advanced Study in Theoretical Sciences at the National Taiwan University, where part of this project was conducted when all of us visited in March 2014 and in July 2015. We thank Chen-Chih Lai for careful reading and finding two typos. The research of Kang was partially supported by NRF - 2017R1A2B4006484 and NRF - 20151009350 . The research of Miura was partially supported by JSPS grant 25707005 . The research of Tsai was partially supported by NSERC grant 261356-13 . Publisher Copyright: {\textcopyright} 2017 Elsevier Inc.",

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doi = "10.1016/j.aim.2017.10.031",

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N2 - We derive refined estimates of the Green tensor of the stationary Stokes system in the half space. We then investigate the spatial asymptotics of stationary solutions of the incompressible Navier–Stokes equations in the half space. We also discuss the asymptotics of fast decaying flows in the whole space and exterior domains. In the Appendix we consider axisymmetric self-similar solutions.

AB - We derive refined estimates of the Green tensor of the stationary Stokes system in the half space. We then investigate the spatial asymptotics of stationary solutions of the incompressible Navier–Stokes equations in the half space. We also discuss the asymptotics of fast decaying flows in the whole space and exterior domains. In the Appendix we consider axisymmetric self-similar solutions.

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Green tensor of the Stokes system and asymptotics of stationary Navier–Stokes flows in the half space

Abstract

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