Existence of weak solutions to the three-dimensional steady compressible Navier-Stokes equations
type: Item
instance of: scholarly article
title: Existence of weak solutions to the three-dimensional steady compressible Navier-Stokes equations
zbMATH Open document ID: 1241.35149
author: Song Jiang
author: Chunhui Zhou
published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire
publication date: 2011-10-10T00:00:00Z
review text: This paper proposes a solution scheme for the existence of the periodic weak solution for the steady compressible flow of Navier-Stokes equation in 3D. The theoretical foundation is developed using lemmas and theorems. The proofs are based on the weighted estimates of pressure and kinetic energy for the approximate system and the convergence of the solution is derived theoretically.
reviewed by: Prabhat Kumar Mahanti
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 35B10
zbMATH DE Number: 5956006
zbMATH Keywords: weak solution
zbMATH Keywords: Navier-Stokes equation
zbMATH Keywords: compressible flow
zbMATH Keywords: periodic
zbMATH Keywords: 3D flow
zbMATH Keywords: uniform bound
MaRDI profile type: Publication
full work available at URL: j.anihpc.2011.02.008
OpenAlex ID: W1979745933
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DOI: 10.1016/J.ANIHPC.2011.02.008
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description: scientific article; zbMATH DE number 5956006