On a local energy decay estimate of solutions to the hyperbolic type Stokes equations
type: Item
instance of: scholarly article
title: On a local energy decay estimate of solutions to the hyperbolic type Stokes equations
zbMATH Open document ID: 1388.35146
author: Takayuki Kobayashi
author: Takayuki Kubo
author: Kenji Nakamura
published in: Journal of Differential Equations
publication date: 2018-03-12T00:00:00Z
review text: The authors consider the initial-boundary value problem for the hyperbolic type Stokes equations of incompressible fluid flow in an exterior domain and in a perturbed half-space. The equations are a linearized version of the hyperbolic Navier-Stokes equations introduced by \textit{R. Racke} and \textit{J. Saal} [Evol. Equ. Control Theory 1, No. 1, 195--215 (2012; Zbl 1262.35171)], which are obtained from a Cattaneo-type law as a delayed case for the deformation tensor in the incompressible Navier-Stokes equations. A local energy decay estimate of solutions is derived using the approach of \textit{W. Dan} and \textit{Y. Shibata} [Funkc. Ekvacioj, Ser. Int. 38, No. 3, 545--568 (1995; Zbl 0848.35070)] for the dissipative wave equation.
reviewed by: Piotr Biler
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D07
Mathematics Subject Classification ID: 35L70
zbMATH DE Number: 6848974
zbMATH Keywords: hyperbolic Navier Stokes equations
zbMATH Keywords: local energy decay estimate
zbMATH Keywords: exterior domain
zbMATH Keywords: perturbed half-space
MaRDI profile type: Publication
full work available at URL: j.jde.2018.01.029
OpenAlex ID: W2792349355
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DOI: 10.1016/J.JDE.2018.01.029
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description: scientific article; zbMATH DE number 6848974