Stability of time periodic solution of the Navier–Stokes equation on the half-space under oscillatory moving boundary condition

Yoshiyuki Kagei, Ryouta Oomachi

Research output: Contribution to journalArticle

Abstract

Navier–Stokes system on the half space with periodically oscillating boundary has a time periodic solution which depends on time variable and vertical variable only. It is proved that the time periodic solution is asymptotically stable when the Reynolds number is sufficiently small; and the decay estimates of the perturbations are established in the frameworks of both strong and weak solutions.

Original languageEnglish
Pages (from-to)3366-3413
Number of pages48
JournalJournal of Differential Equations
Volume261
Issue number6
DOIs
Publication statusPublished - Sep 15 2016

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Time-periodic Solutions
Moving Boundary
Half-space
Navier-Stokes Equations
Reynolds number
Boundary conditions
Navier-Stokes System
Decay Estimates
Strong Solution
Asymptotically Stable
Weak Solution
Vertical
Perturbation
Framework

All Science Journal Classification (ASJC) codes

  • Analysis

Cite this

Stability of time periodic solution of the Navier–Stokes equation on the half-space under oscillatory moving boundary condition. / Kagei, Yoshiyuki; Oomachi, Ryouta.

In: Journal of Differential Equations, Vol. 261, No. 6, 15.09.2016, p. 3366-3413.

Research output: Contribution to journalArticle

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