Time periodic solutions of the Navier-Stokes equations with the time periodic Poiseuille flow under (GOC) for a symmetric perturbed channel in \(\mathbb{R}^2\)
type: Item
instance of: scholarly article
title: Time periodic solutions of the Navier-Stokes equations with the time periodic Poiseuille flow under (GOC) for a symmetric perturbed channel in \(\mathbb{R}^2\)
zbMATH Open document ID: 1330.35290
author: Teppei Kobayashi
published in: Journal of the Mathematical Society of Japan
publication date: 2015-10-08T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.jmsj/1438777438
review text: The incompressible, nonstationary Navier-Stokes equations are considered in a symmetric perturbed channel in \(\mathbb{R}^2\). Based on previous papers by \textit{H. Fujita} [in: Navier-Stokes equations. Theory and numerical methods. Proceedings of the international conference, Varenna, Lecco, Italy, June 2--6, 1997. Harlow: Longman. 16--30 (1998; Zbl 0946.35063)] and \textit{T. Kobayashi} [Tohoku Math. J. (2) 66, No. 1, 119--135 (2014; Zbl 1293.35208)], the author proves the existence of a time periodic solution to the above problem.
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 35B10
zbMATH DE Number: 6491859
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: time periodic solution
zbMATH Keywords: Poiseuille flow
reviewed by: Gheorghe Moroşanu
MaRDI profile type: Publication
OpenAlex ID: W2153700164
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DOI: 10.2969/JMSJ/06731023
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description: scientific article; zbMATH DE number 6491859