Global-in-time Hölder continuity of the velocity gradients for fluids with shear-dependent viscosities
type: Item
instance of: scholarly article
title: Global-in-time Hölder continuity of the velocity gradients for fluids with shear-dependent viscosities
zbMATH Open document ID: 0991.35066
author: J. Strará
author: P. Kaplický
author: Josef Málek
published in: NoDEA. Nonlinear Differential Equations and Applications
publication date: 2002-06-27T00:00:00Z
review text: For an evolutionary nonlinear fluid model characterized by the viscosity being a decreasing function of the modulus of the symmetric velocity gradient we establish global-in-time existence of the solution with Hölder continuous velocity gradients. Such a solution is unique in the class of weak solutions. We deal with the two dimensional space periodic problem.
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 76D03
zbMATH DE Number: 1761064
zbMATH Keywords: evolutionary nonlinear fluid model
zbMATH Keywords: global-in-time existence
zbMATH Keywords: Hölder continuous velocity gradients
zbMATH Keywords: weak solutions
zbMATH Keywords: incompressible fluid
zbMATH Keywords: shear-dependent viscosity
zbMATH Keywords: \(C^{1,\alpha}\)-solution
zbMATH Keywords: regularity
MaRDI profile type: Publication
full work available at URL: s00030-002-8123-z
OpenAlex ID: W2019089616
DOI: 10.1007/S00030-002-8123-Z
description: scientific article; zbMATH DE number 1761064