On a bounded shear flow in a half-space
type: Item
instance of: scholarly article
title: On a bounded shear flow in a half-space
zbMATH Open document ID: 1308.35175
author: Vladimír Šverák
author: G. Seregin
published in: Journal of Mathematical Sciences (New York)
publication date: 2014-12-02T00:00:00Z
review text: In this paper, the authors simplify an example of shear flow in the half-space, constructed by \textit{K. Kang} [Math. Ann. 331, No. 1, 87--109 (2005; Zbl 1064.35135)]. This example show that, the gradient of a solution with bounded velocity field to both Stokes system and Navier-Stokes system with homogeneous boundary conditions and initial conditions may become unbounded near the boundary.
reviewed by: Cheng He
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76D07
zbMATH DE Number: 6375820
zbMATH Keywords: shear flow
zbMATH Keywords: half-space
zbMATH Keywords: Stokes system
zbMATH Keywords: boundary estimates
MaRDI profile type: Publication
full work available at URL: s10958-011-0552-y
OpenAlex ID: W1994054506
cites work: Unbounded normal derivative for the Stokes system near boundary
cites work: A note on local boundary regularity for the Stokes system
cites work: On the interior regularity of weak solutions of the Navier-Stokes equations
DOI: 10.1007/S10958-011-0552-Y
description: scientific article; zbMATH DE number 6375820