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

Kyungkeun Kang, Hideyuki Miura, Tai Peng Tsai

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)326-366
Number of pages41
JournalAdvances in Mathematics
Volume323
DOIs
Publication statusPublished - 2018 Jan 7

Fingerprint

Stokes System
Navier-Stokes
Half-space
Tensor
Incompressible Navier-Stokes
Exterior Domain
Self-similar Solutions
Stationary Solutions
Navier-Stokes Equations
Estimate

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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Green tensor of the Stokes system and asymptotics of stationary Navier–Stokes flows in the half space. / Kang, Kyungkeun; Miura, Hideyuki; Tsai, Tai Peng.

In: Advances in Mathematics, Vol. 323, 07.01.2018, p. 326-366.

Research output: Contribution to journalArticle

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