On a method of holomorphic functions to obtain sharp regularization rates of weak solutions of Navier-Stokes equations
type: Item
instance of: scholarly article
title: On a method of holomorphic functions to obtain sharp regularization rates of weak solutions of Navier-Stokes equations
zbMATH Open document ID: 1195.35086
published in: Methods and Applications of Analysis
publication date: 2009-04-28T00:00:00Z
review text: The author consider the compressible Navier-Stokes equations. By applying for the \(L^2\) energy estimates and the Cauchy integral formula for holomorphic functions, the author deduce the bounds for higher-order derivatives of smooth solutions to Navier-Stokes equations. Then the optimal regularization rates are obtained for weak solutions by standard energy methods.
reviewed by: Cheng He
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76N10
zbMATH DE Number: 5548791
zbMATH Keywords: compressible Navier-Stokes equations
zbMATH Keywords: time analyticity
zbMATH Keywords: \(L^2\) energy estimates
zbMATH Keywords: Cauchy integral formula
zbMATH Keywords: optimal regularization rates
author: E. N. Tsyganov
MaRDI profile type: Publication
full work available at URL: maa.2007.v14.n4.a3
OpenAlex ID: W2092502889
DOI: 10.4310/MAA.2007.V14.N4.A3
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description: scientific article; zbMATH DE number 5548791