Asymptotic limit of fast rotation for the incompressible Navier–Stokes equations in a 3D layer

Hiroki Ohyama, Ryo Takada

研究成果: Contribution to journalArticle査読

抄録

We consider the initial value problem for the Navier–Stokes equation with the Coriolis force in a three-dimensional infinite layer. We prove the unique existence of global solutions for initial data in the scaling-invariant space when the speed of rotation is sufficiently high. Furthermore, we consider the asymptotic limit of the fast rotation and show that the global solution converges to that of 2D incompressible Navier–Stokes equations in some global in time space-time norms.

本文言語英語
ページ(範囲)2591-2629
ページ数39
ジャーナルJournal of Evolution Equations
21
2
DOI
出版ステータス出版済み - 6 2021

All Science Journal Classification (ASJC) codes

  • 数学(その他)

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