The initial boundary value problem for Navier-Stokes equations
type: Item
instance of: scholarly article
title: The initial boundary value problem for Navier-Stokes equations
zbMATH Open document ID: 0939.35138
DOI: 10.1007/BF02650658
author: Cheng He
publication date: 2000-06-26T00:00:00Z
review text: By making full use of the estimates for solutions to nonstationary Stokes equations and the method discussing global stability, the authors establish the global existence theorem of strong solutions for Navier-Stokes equations in an arbitrary three-dimensional domain with uniform \(C^3\) boundary, under the assumption that viscosity is large. This improves previous results. Moreover, the solvability of the case with homogeneous and nonhomogeneous boundary conditions is discussed.
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D03
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76D07
Mathematics Subject Classification ID: 35A05
zbMATH DE Number: 1321980
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: Stokes equations
zbMATH Keywords: nonhomogeneous boundary conditions
zbMATH Keywords: homogeneous boundary conditions
zbMATH Keywords: global existence theorem of strong solutions
MaRDI profile type: Publication
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published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 1321980