## Tokyo Journal of Mathematics

### Time Periodic Solutions of the Navier-Stokes Equations under General Outflow Condition

Teppei KOBAYASHI

#### Abstract

It is known that there exists a time periodic solution of the Navier-Stokes equations with Dirichlet boundary conditions satisfying so-called stringent outflow condition (SOC). In this paper we will show the existence of periodic solutions of the Navier-Stokes equations with Dirichlet boundary conditions satisfying so-called general outflow condition (GOC).

#### Article information

Source
Tokyo J. Math., Volume 32, Number 2 (2009), 409-424.

Dates
First available in Project Euclid: 22 January 2010

https://projecteuclid.org/euclid.tjm/1264170239

Digital Object Identifier
doi:10.3836/tjm/1264170239

Mathematical Reviews number (MathSciNet)
MR2589952

Zentralblatt MATH identifier
1193.35134

#### Citation

KOBAYASHI, Teppei. Time Periodic Solutions of the Navier-Stokes Equations under General Outflow Condition. Tokyo J. Math. 32 (2009), no. 2, 409--424. doi:10.3836/tjm/1264170239. https://projecteuclid.org/euclid.tjm/1264170239

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