On decay rate of solutions for the stationary Navier-Stokes equation in an exterior domain
type: Item
instance of: scholarly article
title: On decay rate of solutions for the stationary Navier-Stokes equation in an exterior domain
zbMATH Open document ID: 1435.35279
author: Pu-Zhao Kow
author: C.-L. Lin
published in: Journal of Differential Equations
publication date: 2019-01-22T00:00:00Z
review text: The paper under review considers the asymptotic behavior of an incompressible fluid around a bounded obstacle. Under the assumption for any nontrivial solution to be uniformily bounded the authors prove that the minimal decaying rate is \(\exp(-C|x|^{\frac{3}{2}+})\). The proof is based on the reformulation of the Navier-Stokes equation to a new system using the vorticity formulation, a Schauder estimate, and a scaling argument.
reviewed by: Konstantinos Chrysafinos
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 35B45
zbMATH DE Number: 7005199
zbMATH Keywords: Navier-Stokes
zbMATH Keywords: Carleman estimates
zbMATH Keywords: Schauder estimates
MaRDI profile type: Publication
full work available at URL: j.jde.2018.09.002
OpenAlex ID: W2890315402
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Wikidata QID: Q129280609
DOI: 10.1016/J.JDE.2018.09.002
description: scientific article; zbMATH DE number 7005199